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i-manager's Journal on Mathematics (JMAT)

Current Issue Vol. 13 Issue 2

Mathematical Modeling of Higher Overtone Vibrational Frequencies in Dichlorine Monoxide
Some Types of Generalized Closed and Generalized Star Closed Sets in Topological Ordered Spaces
Optimizing Capsule Endoscopy Detection: A Deep Learning Approach with L-Softmax and Laplacian-SGD
Kernel Ideals in Semigroups
Modeling the Dynamics of Covid-19 with the Inclusion of Treatment, Vaccination and Natural Cure
Calculation of Combined Vibrational Frequencies in Cl₂O using Lie Algebraic Method

Most Cited

Volume 7 Issue 4 October - December 2018

Research Paper

Chaos Control in a Chaotic Finance System by Lie Algebraic Exact Linearization

Mohammad * , Mohammed Raziuddin**

*Department of General Studies, College of Applied Sciences, Nizwa, Oman.

**Department of Information Technology, Nizwa College of Technology, Nizwa, Oman.

Shahzad, M., Raziuddin, M. (2018). Chaos Control in a Chaotic Finance System by Lie AlgebraicExact Linearization, i-manager's Journal on Mathematics, 7(4), 1-9. https://doi.org/10.26634/jmat.7.4.14941

Abstract

In this paper, the authors investigate the control of chaotic dynamics of a financesystem by implementing a Lie algebraic exact linearization technique.Controlling of chaos is based on feedback control law in which nonlinearcoordinateis transformed into linear one without the loss of generality. The authors use Mathematica for all simulation. All the analytical and graphical results confirm the robustness of the control in the considered finance system. A comparative graphical study between uncontrolled (original) and controlled trajectories has been presented through various plots.

References

[1]. Alvarez-Gallegos, J. (1994). Nonlinear regulation of a Lorenz system by feedback linearization techniques. Dynamics and Control, 4(3), 277-298.

[2]. Andrievskii, B. R., & Fradkov, A. L. (2003). Control of chaos: Methods and applications. I. Methods. Automation and Remote Control, 64(5), 673-713.

[3]. Chen, L. Q., & Liu, Y. Z. (1999). A modified exact linearization control for chaotic oscillators. Nonlinear Dynamics, 20(4), 309-317.

[4]. Gao, Q., & Ma, J. (2009). Chaos and Hopf bifurcation of a finance system. Nonlinear Dynamics, 58(1-2), 209-216.

[5]. Guckenheimer, J, & Holmes, P. (1983). Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York: Springer-Verlag.

[6]. Islam, M., Islam, B., & Islam, N. (2013). Rate estimation of identical synchronization by designing controllers. Journal of Mathematics, 2013. doi:10.1155/2013/590462

[7]. Islam, M., Islam, B., & Islam, N. (2014). Chaos control in Shimizu Morioka system by Lie algebraic exact linearization. International Journal of Dynamics and Control, 2(3), 386-394.

[8]. Islam, N., Islam, B., & Mazumdar, H. P. (2011). Generalized chaos synchronization of unidirectionally coupled Shimizu- Morioka dynamical systems. Differential Geometry, 13, 101-106.

[9]. Islam, N., Mazumdar, H. P., & Das, A. (2009). On the stability and control of the Schimizu-Morioka system of dynamical equations. Diff. Geo. Dyn. Sys., 11, 135-143.

[10]. Khan, A., & Shahzad, M. (2008). Control of chaos in the Hamiltonian system of Mimas-Tethys. The Astronomical Journal, 136(5), 2201-2203.

[11]. Liqun, C., & Yanzhu, L. (1998). Control of the Lorenz chaos by the exact linearization. Applied Mathematics and Mechanics, 19(1), 67-73.

[12]. Mondal, A., Islam, N., & Sen, S. (2015). Control of chaos in Sprott system B by state space exact linearization method. International Journal on Mathematics and Computer Science, 1, 11-18.

[13]. Rabinovich, M. I., & Abarbanel, H. D. I. (1998). The role of chaos in neural systems. Neuroscience, 87(1), 5-14.

[14]. Scholl, E., & Schuster, H. G. (1999). Handbook of Chaos Control. Wiley: Weinheim.

[15]. Shahzad, M. (2016a). Chaos control in HIV Infection of CD⁺₄ T-cells system by Lie Algebraic Exact Linearization. i-manager's Journal on Mathematics, 5(1), 20-30. https://doi.org/10.26634/jmat.5.1.4868

[16]. Shahzad, M. (2016b). Chaos control in three dimensional cancer model by state space exact linearization based on lie algebra. Mathematics, 4(2), 33.

[17]. Shinbrot, T., Grebogi, C., Yorke, J. A., & Ott, E. (1993). Using small perturbations to control chaos. Nature, 363(6428), 411-474.

[18]. Steingrube, S., Timme, M., Wörgötter, F., & Manoonpong, P. (2010). Self-organized adaptation of a simple neural circuit enables complex robot behaviour. Nature Physics, 6(3), 224-230.

[19]. Tsagas, G. R., & Mazumdar, H. P. (2000). On the control of a dynamical system by a linearization method via Lie Algebra. Rev. Bull. Cal. Math. Soc., 8(1), 25-32.

[20]. Vittot, M. (2004). Perturbation theory and control in classical or quantum mechanics by an inversion formula. Journal of Physics A: Mathematical and General, 37(24), 6337-6357.

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Research Paper

On Construction of Discrete Wrapped Lindley Distribution

R. Srinivas* , G. V. L. N. Srihari, S. V. S. Girija*

Assistant Professor, Department of Mathematics, Hindu College, Guntur, Andhra Pradesh, Telangana, India.

Associate Professor, Department of Mathematics, Aurora's Scientific Technological and Research Academy, Hyderabad, Andhra Pradesh, Telangana, India.

Associate Professor, Department of Mathematics, Hindu College, Guntur, Andhra Pradesh, Telangana, India.

Srinivas, R., Srihari, G. V. L. N., & Girija, S. V. S. (2008). On Construction of Discrete Wrapped Lindley Distribution, i-manager's Journal on Mathematics, 7(4), 10-19. https://doi.org/10.26634/jmat.7.4.15874

Abstract

In this paper, a new discrete circular distribution is constructed by applying the method of discretization for existing continuous circular distribution. The Wrapped Lindley Distribution is discretized and new circular model is Discrete Wrapped Lindley distribution. The probability mass function, cumulative distribution function, and characteristic function of the Discrete Wrapped Lindley Distribution are derived and population characteristics are studied using first two trigonometric moments. The graphs of the probability mass function and cumulative distribution function are plotted for different values of parameter by using MATLAB.

References

[1]. Devaraaj, V. J., Girija, S. V. S., & Rao, A. D. (2017). Cut-off points for various tests for circular uniformity. i-manager's Journal on Mathematics, 5(4), 29-38. https://doi.org/10.26634/jmat.6.4.13863.

[2]. Girija, S. V. S., Rao, A. D., & Srihari, G. V. L. N. (2014a). On wrapped binomial model characteristics. Mathematics and Statistics, 2(7), 231-234.

[3]. Girija, S. V. S., Rao, A. D., & Srihari, G. V. L. N. (2014b). On characteristic function of wrapped poisson distribution. International Journal of Mathematical Archive, 5(5), 168-173.

[4]. Girija, S. V. S. (2010). Construction of New Circular Models, VDM Verlag Dr. Müller GmbH & Co.

[5]. Jacob, S. & Jayakumar, K. (2013). Wrapped geometric distribution: A new probability model for circular data. Journal of Statistical Theory and Applications, 12(4), 348-355.

[6]. Jammalamadaka, S. R., & Sengupta, A. (2001). Topics in Circular Statistics. World Scientific Press, Singapore.

[7]. Joshi, S., & Jose, K. K. (2018). Wrapped lindley distribution. Communications in Statistics-Theory and Methods, 47(5), 1013-1021.

[8]. Mardia, K. V., & Jupp, P. E. (2000). Directional Statistics. John Wiley, Chichester.

[9]. Phani, Y. (2013). On Stereographic Circular and Semicircular Models (Unpublished Ph.D. Thesis, Acharya Nagarjuna University).

[10]. Radhika, A. J. V. (2014). Mathematical Tools in the Construction of New Circular Models (Unpublished thesis submitted to Acharya Nagarjuna University).

[11]. Rao, A. V. D., Sarma, I. R., & Girija, S. V. S. (2007). On wrapped version of some life testing models. Communications in Statistics-Theory and Methods, 36(11), 2027-2035.

[12]. Sastry, Ch. V. (2016). On l-Axial Models (Unpublished PhD. Thesis, Acharya Nagarjuna University).

[13]. Srihari, G. V. L. N., Girija, S. V. S., & Rao, A. V. D. (2018a). On discrete wrapped exponential distribution-characteristics. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(2), 57-64.

[14]. Srihari, G. V. L. N., Girija, S. V. S., & Rao A.V. D. (2018b). On wrapped negative binomial model. International Journal of Mathematical Archive, 9(5), 1-6.

[15]. Srihari, G. V. L. N., Girija, S. V. S., & Rao, A.V. D. (2018c). On characteristics of wrapped logarithmic model. International Journal of Current Trends in Science and Technology, 8(4), 20413-20419.

[16]. Wang, M., & Shimizu, K. (2014). Discrete Cardioid Distribution. Conference on Advances and Applications in Distribution Theory. The Institute of Statistical Mathematics, Tokyo, Japan.

[17]. Yedlapalli, P., Girija, S. V. S., Rao, A. D., & Srihari, G. V. L. N. (2015). Symmetric circular model induced by inverse stereographic projection on double Weibull distribution with application. International Journal of Soft Computing, Mathematics and Control, 4(1), 69-76.

[18]. Yedlapalli, P., Girija, S. V. S., & Rao, A. V. D. (2017). On l-Axial Chi-Square Distribution. i-manager's Journal on Mathematics, 6(4), 51-58.

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Research Paper

The Iterative Method for Strong Convergence of Variational Inequality with H-Accretive Operator

Poonam Mishra* , Shailesh Dhar Diwan**

*Department of Applied Mathematics, Amity School of Engineering and Technology, Amity University, Raipur, Chhattisgarh, India.

**Department of Applied Mathematics, Government Engineering College, Raipur, Chhattisgarh, India.

Mishra, P., Diwan, S. D. (2018). The Iterative Method for Strong Convergence of Variational Inequality with H-Accretive Operator, i-manager's Journal on Mathematics, 7(4), 20-26. https://doi.org/10.26634/jmat.7.4.15278

Abstract

In this paper, we have used a new iterative method given by Thuy (2016), for the class of H-Accretive operator in a q-uniformly smooth Banach space. Further, we have used this method to find a solution for the variational inequalities over the set of common fixed points of a family of nonexpansive mappings in Banach Space. Our result improves and generalizes some recent results in the literature.

References

[1]. Aoyama, K., Iiduka, H., & Takahashi, W. (2006). Weak convergence of an iterative sequence for accretive operators in Banach spaces. Fixed Point Theory and Applications, 2006(1), 35390.

[2]. Browder, F. E. (1967). Nonlinear mappings of nonexpansive and accretive type in Banach spaces. Bulletin of the American Mathematical Society, 73(6), 875-882.

[3]. Browder, F. E., & Petryshyn, W. V. (1967). Construction of fixed points of nonlinear mappings in Hilbert space. Journal of Mathematical Analysis and Applications, 20(2), 197-228.

[4]. Buong, N., Phuong, N. T. H. (2012). Regularization CN methods for a class of variational inequalities in Banach spaces. Computational Mathematics and Mathematical Physics, 52, 1487-1496.

[5]. Chen, R., Song, Y., & Zhou, H. (2006). Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings. Journal of Mathematical Analysis and Applications, 314(2), 701-709.

[6]. Fang, Y. P., & Huang, N. J. (2004). H-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces. Applied Mathematics Letters, 17(6), 647-653.

[7]. He, H., Liu, S., & Chen, R. (2016). Strong convergence theorems for a common zero of a finite family of H-accretive operators in Banach space. SpringerPlus, 5(1), 941.

[8]. He, S., & Guo, J. (2012). Iterative algorithm for common fixed points of infinite family of nonexpansive mappings in Banach spaces. Journal of Applied Mathematics, 2012.

[9]. Liu, S., & He, H. (2012). Approximating solution of 0ϵT(x) for an H-accretive operator in Banach spaces. Journal of Mathematical Analysis and Applications, 385(1), 466-476.

[10]. Megginson, R. E. (2012). An introduction to Banach Space Theory (Vol. 183). Springer Science & Business Media.

[11]. Petryshyn, W. V. (1970). A characterization of strict convexity of Banach spaces and other uses of duality mappings. Journal of Functional Analysis, 6(2), 282-291.

[12]. Stampacchia, G. (1964). Formes bilinéaires coercitives sur les ensembles convexes. Comptes Rendus Hebdomadaires Des Seances De L Academie Des Sciences, 258(18), 4413.

[13]. Takahashi, W. (2002). Nonlinear Functional Analysis. Fixed Point Theory and its Applications, Yokohama.

[14]. Thuy, N. T. T. (2016). Regularization methods and iterative methods for variational inequality with accretive operator. Acta Mathematica Vietnamica, 41(1), 55-68.

[15]. Yamada, I. (2001). The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings. In : Butnariu, D., Censor, Y., Reich, S. (Eds.) Inherently Parallel Algorithms in Feasibility and Optimization and their Applications (pp. 473-504).

[16]. Yao, Y., Cho, Y. J., & Liou, Y. C. (2011). Hierarchical convergence of an implicit double-net algorithm for nonexpansive semigroups and variational inequality problems. Fixed Point Theory and Applications, 2011(1), 101.

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Research Paper

Effects of Heat and Mass Transfer on MHD Flow of Viscoelastic Micro-Polar Fluid Through A Porous Medium with Heat Source and Chemical Reaction

Kuppala R. Sekhar*

Assistant Professor, Department of H & S, Vemu Institute of Technology, P. Kothakota, Chittoor District, Andhra Pradesh, India.

Sekhar, K. R. (2018). Effects of Heat and Mass Transfer on MHD Flow of Viscoelastic Micro-Polar Fluid Through a Porous Medium with Heat Source and Chemical Reaction, i-manager's Journal on Mathematics, 7(4), 27-38. https://doi.org/10.26634/jmat.7.4.15377

Abstract

The present study investigates heat and mass transfer effects on unsteady flow of a visco-elastic fluid over an infinite moving permeable plate in a saturated porous medium in the presence of a transverse magnetic field with chemical reaction and heat sink are studied. The governing equations are solved analytically by using general perturbation technique to obtain the expressions for velocity, micro-rotation, temperature and concentration. The result shows that the effect of the chemical reaction parameter and heat source parameter increases, with increasing in micro-rotation across the boundary layer while visco-elastic parameter decreases in the vicinity of the plate. With the aid of these, the expressions for skin-friction coefficient, Nusselt number and Sherwood numbers are presented in tabular form.

References

[1]. Elbashbeshy, E. M. A. (1997). Heat and mass transfer along a vertical plate with variable surface tension and concentration in the presence of the magnetic field. International Journal of Engineering Science, 35(5), 515-522.

[2]. Eringen, A. C. (1966). Theory of micropolar fluids. Journal of Mathematics and Mechanics, 1-18.

[3]. Georgantopoulos, G. A., Koullias, J., Goudas, C. L., & Courogenis, C. (1981). Free convection and mass transfer effects on the hydro-magnetic oscillatory flow past an infinite vertical porous plate. Astrophysics and Space Science, 74(2), 357- 389.

[4]. Gribben, R. J. (1965). The magnetohydrodynamic boundary layer in the presence of a pressure gradient. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 287(1408), 123-141.

[5]. Hamza, M. M., Isah, B. Y., & Usman, H. (2011). Unsteady heat transfer to MHD oscillatory flow through a porous medium under slip condition. International Journal of Computer Applications, 33(4), 12-17.

[6]. Helmy, K. A. (1998). MHD unsteady free convection flow past a vertical porous plate. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik: Applied Mathematics and Mechanics, 78(4), 255-270.

[7]. Hiremath, P. S., & Patil, P. M. (1993). Free convection effects on the oscillatory flow of a couple stress fluid through a porous medium. Acta Mechanica, 98(1-4), 143-158.

[8]. Huges, W. F., & Young F. J. (1966). The Electro-Magneto Dynamics of Fluids. New York: John Wiley and Sons.

[9]. Kim, Y. J. (2004). Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction. International Journal of Engineering Science, 38(8), 833-845.

[10]. Kumar, B. R., & Sivaraj, R. (2011). Radiation and Dufour effects on chemically reacting MHD mixed convective slip flow in an irregular channel. Elixir Thermal Engg., 3, 4675-4683.

[11]. Manjulatha, V., Varma, S. V. K., & Raju, V. C. C. (2013). Effects of aligned magnetic field and radiation on unsteady MHD chemically reacting fluid in a channel through saturated porous medium. Advances and Application in Fluid Mechanics, 13(1), 37-64.

[12]. Molla, M. M., & Gorla, R. S. R. (2009). Natural convection laminar flow with temperature dependent viscosity and thermal conductivity along a vertical wavy surface. International Journal of Fluid Mechanics Research, 36(3), 272-288.

[13]. Olajuwon, B. I., Oahimire, J. I., & Ferdow, M. (2014). Effect of thermal radiation and Hall current on heat and mass transfer of unsteady MHD flow of a viscoelastic micropolar fluid through a porous medium. Engineering Science and Technology, an International Journal, 17(4), 185-193.

[14]. Rahman, M. M., & Sattar, M. A. (2006). Magnetohydrodynamic convective flow of a micropolar fluid past a continuously moving vertical porous plate in the presence of heat generation/absorption. Journal of Heat Transfer, 128(2), 142-152.

[15]. Raju, M. C., & Varma S. V. K. (2011). Unsteady MHD free convection oscillatory Couette flow through a porous medium with periodic wall temperature. i-manager's Journal on Future Engineering & Technology, 6(4), 7-12.

[16]. Raptis, A. (1998). Flow of a micropolar fluid past a continuously moving plate by the presence of radiation. International Journal of Heat and Mass Transfer, 18(41), 2865-2866.

[17]. Raptis, A., Massalas, C., & Tzivanidis, G. (1982). Hydromagnetic free convection flow through a porous medium between two parallel plates. Physics Letters A, 90(6), 288-289.

[18]. Ravikumar, V., Raju, M. C., & Raju, G. S. S. (2012). Heat and mass transfer effects on MHD flow of viscous fluid through non-homogeneous porous medium in presence of temperature dependent heat source. International Journal of Contemporary Mathematical Sciences, 7(32), 1597-1604.

[19]. Singh, K. D. (2012). Visco-elastic mixed convection MHD oscillatory flow through a porous medium filled in a vertical channel. International Journal of Physical and Mathematical Sciences, 3(1), 194-205.

[20]. Soundalgekar, V. M., Gupta, S. K., & Birajdar, N. S. (1979). Effects of mass transfer and free convection currents on MHD Stokes' problem for a vertical plate. Nuclear Engineering and Design, 53(3), 339-346.

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Research Paper

Effect of Inclined Magnetic Field and Radiation Absorption on Mixed Convection Flow of a Chemically Reacting and Radiating Fluid Past a Semi Infinite Porous Plate

M. Obulesu* , R. Siva Prasad**

* Research Scholar, Department of Mathematics, Sri Krishnadevaraya University, Anantapuram, Andhra Pradesh, India.

** Professor and Head, Department of Mathematics, Sri Krishnadevaraya University, Anantapuram, Andhra Pradesh, India.

Obulesu, M., Prasad, R. S. (2018). Effect of Inclined Magnetic Field and Radiation Absorption on Mixed Convection Flow of a Chemically Reacting and Radiating Fluid Past a Semi Infinite Porous Plate, i-manager's Journal on Mathematics, 7(4), 39-49. https://doi.org/10.26634/jmat.7.4.15561

Abstract

In this manuscript, an attempt is made to study the effect of Inclined Magnetic Field and Radiation Absorption on Mixed Convection Flow of a Chemically Reacting and Radiating Fluid Past a Semi Infinite Porous Plate. Analytical solutions are obtained by solving the constituted governing equations by using regular perturbation technique. The impact of various physical parameters on the flow quantities are studied numerically. The expressions for other important physical parameters such as skin friction coefficient, Nusselt number and Sherwood number are also presented and studied with the help of tables. The results of this study are more suitable with the existing literature in the absence of the extended parameters.

References

[1]. Hemalatha, E., & Reddy, N. B. (2015). Effects of thermal radiation and chemical reaction on mhd free convection flow past a flat plate with heat source and convective surface boundary condition. International Journal of Engineering Research and Applications, 5(9), 107-115.

[2]. Kishore, P. M., Kumar, V., Varma, S., Rao, S. M., & Bala, K. S. (2014). The effect of chemical reaction on MHD free convection flow of dissipative fluid past an exponentially accelerated vertical plate. International Journal of Computational Engineering Research, 4(1), 11-26.

[3]. Krishniah, G., Varma, S. V. K., Raju, M. C., & Venkateswarlu, S. (2005). Study of free and forced convection flow in an inclined channel, Bulletin of Pure and Applied Sciences, 24(2), 491-509.

[4]. Kumar, G. C., & Reddy, G. V. R. (2014). Radiation and chemical reaction effects on MHD flow fluid over an infinite vertical oscillating porous plate. International Journal of Mathematics, 5(6), 247-258.

[5]. Mahapatra, N., Dash, G. C., Panda, S., & Acharya, M. (2010). Effects of chemical reaction on free convection flow through a porous medium bounded by a vertical surface. Journal of Engineering Physics and Thermophysics, 83(1), 130- 140.

[6]. Mishra, S. R., Dash, G. C., & Acharya, M. (2013). Mass and heat transfer effect on MHD flow of a visco-elastic fluid through porous medium with oscillatory suction and heat source. International Journal of Heat and Mass Transfer, 57(2), 433-438.

[7]. Mondal, S., Parvin, S., & Ahmmed, S. F. (2014). Effects of radiation and chemical reaction on MHD free convection flow past a vertical plate in the porous medium. American Journal of Engineering Research (AJER), 3(12), 15-22.

[8]. Narayana, P. S., Venkateswarlu, B., & Venkataramana, S. (2013). Effects of Hall current and radiation absorption on MHD micropolar fluid in a rotating system. Ain Shams Engineering Journal, 4(4), 843-854.

[9]. Raju, K. V., Raju, M. C., Kumar, V. R., & Raju, G. S. S. (2018). Thermal Diffusion and radiation effects on magnetocasson fluid flow past a vertical porous plate. i-manager's Journal on Mathematics, 7(2), 32-46, https://doi.org/10.26634/jmat.7.2.14680.

[10]. Raju, M. C., & Varma, S. V. K. (2011). Unsteady MHD free convection oscillatory couette flow through a porous medium with periodic wall temperature. i-manager's Journal on Future Engineering and Technology, 6(4), 7-12.

[11]. Raju, M. C., Varma, S. V. K., & Chamkha, A. J. (2016). Unsteady free convection flow past a periodically accelerated vertical plate with Newtonian heating. International Journal of Numerical Methods for Heat & Fluid Flow, 26(7), 2119-2138.

[12]. Raju, M. C., Vidyasagar, B., Varma, S. V. K., & Venkataramana, S. (2014). Radiation absorption effect on MHD free convection chemically reacting visco-elastic fluid past an oscillatory vertical porous plate in slip regime. International Journal of Engineering and Computer science, 3(9), 8212-8221.

[13]. Raju, V. K., Parandhama, A., Raju, M. C., & Babu, K. R. (2018). Unsteady MHD mixed convection flow of jeffrey fluid past a radiating inclined permeable moving plate in the presence of thermophoresis heat generation and chemical reaction. Journal of Ultra Scientist of Physical Sciences, 30(1), 51-65.

[14]. Raju, V. K., Reddy, P. B. R., & Suneetha, S. (2017). Thermophoresis effect on a radiating inclined permeable moving plate in the presence of chemical reaction and heat absorption. International Journal of Dynamics of Fluids, 13(1), 89-112.

[15]. Ravikumar, V., Raju, M. C., Raju, G. S. S., & Chamkha, A. J. (2013). MHD double diffusive and chemically reactive flow through porous medium bounded by two vertical plates. International Journal of Energy & Technology, 5(7), 1-8.

[16]. Reddy, P. C., Raju, M. C., Raju, G. S. S., & Reddy, C. M. (2017). Diffusion thermo and thermal diffusion effects on MHD free convection flow of Rivlin-Ericksen fluid past a semi infinite vertical plate. Bulletin of Pure and Applied Sciences. E, 36, 266- 284.

[17]. Reddy, P. R. K., & Raju, M. C. (2017). Combined constant heat and mass flux effect on MHD free convective flow through a porous medium bounded by a vertical surface in presence of chemical reaction and radiation. Bulletin of Pure & Applied Sciences-Mathematics and Statistics, 36(2), 152-164.

[18]. Reddy, T. S., Raju, M. C., & Varma, S. V. K. (2013). Chemical reaction and radiation effects on MHD free convection flow through a porous medium bounded by a vertical surface with constant heat and mass flux. Journal of computational and Applied research in Mechanical Engineering, 3(1), 53-62.

[19]. Sarada, K., & Shanker, B. (2013). The effect of chemical reaction on an unsteady MHD free convection flow past an infinite vertical porous plate with variable suction. International Journal of Engineering Modern Research (IJMER), 3(2), 725- 735.

[20]. Seth, G. S., Hussain, S. M., & Sarkar, S. (2015). Hydromagnetic natural convection flow with heat and mass transfer of a chemically reacting and heat absorbing fluid past an accelerated moving vertical plate with ramped temperature and ramped surface concentration through a porous medium. Journal of the Egyptian Mathematical Society, 23(1), 197-207.

[21]. Sharmilaa, K., & Kannathal, K. (2018). Steady MHD Mixed Convective flow in presence of inclined magnetic field and thermal radiation with effects of chemical reaction and soret embedded in a porous medium. International Journal of Scientific Research in Science, Engineering and Technology, 4(1), 347-355.

[22]. Sharmilaa, K., & Kaleeswari, S., (2015). Dufour effects on unsteady MHD free convection and mass transfer flow past through a porous medium in a slip regime with heat source/sink. International Journal of Scientific Engineering and Applied Science (IJSEAS), 1(5), 307-320.

[23]. Sinha, A., Ahmed, N., & Agarwalla, S. (2017). MHD Free convective flow through a porous medium past a vertical plate with ramped wall temperature. Applied Mathematical Sciences, 11(10), 963-974.

[24]. Srinivasacharya, D., Mallikarjuna, B., & Bhuvanavijaya, R. (2015). Radiation effect on mixed convection over a vertical wavy surface in Darcy porous medium with variable properties. Journal of Applied Engineering Science, 18(3), 265-274.

[25]. Umamaheswar, M., Raju, M. C., Varma, S. V. K., & Gireeshkumar, J. (2016). Numerical investigation of MHD free convection flow of a non-Newtonian fluid past an impulsively started vertical plate in the presence of thermal diffusion and radiation absorption. Alexandria Engineering Journal, 55(3), 2005-2014.

[26]. Umamaheswar, M., Varma, S. V. K., Raju, M. C., & Chamkha, A. J. (2016). Unsteady MHD free convective double diffusive visco-elastic fluid flow past an inclined permeable plate in the presence of viscous dissipation and heat absorption. Special Topics and Reviews in Porous Media: An International Journal, 6(4), 333-342.

[27]. Venkateswarlu, S., Varma, S. V. K., Kumar, R. V. M. S. S. K., Raju, C. S. K., & Prasad, P, D. (2017). Radiation absorption and viscous-dissipation on MHD flow of casson fluid over a vertical plate filled with porous layers. Diffusion Foundations, 11, 43-56.

i-manager's Journal on Mathematics (JMAT)

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Volume 7 Issue 4 October - December 2018

Chaos Control in a Chaotic Finance System by Lie Algebraic Exact Linearization

Mohammad * , Mohammed Raziuddin**

*Department of General Studies, College of Applied Sciences, Nizwa, Oman. **Department of Information Technology, Nizwa College of Technology, Nizwa, Oman.

Shahzad, M., Raziuddin, M. (2018). Chaos Control in a Chaotic Finance System by Lie AlgebraicExact Linearization, i-manager's Journal on Mathematics, 7(4), 1-9. https://doi.org/10.26634/jmat.7.4.14941

Abstract

References

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On Construction of Discrete Wrapped Lindley Distribution

R. Srinivas* , G. V. L. N. Srihari**, S. V. S. Girija***

Srinivas, R., Srihari, G. V. L. N., & Girija, S. V. S. (2008). On Construction of Discrete Wrapped Lindley Distribution, i-manager's Journal on Mathematics, 7(4), 10-19. https://doi.org/10.26634/jmat.7.4.15874

Abstract

References

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The Iterative Method for Strong Convergence of Variational Inequality with H-Accretive Operator

Poonam Mishra* , Shailesh Dhar Diwan**

*Department of Applied Mathematics, Amity School of Engineering and Technology, Amity University, Raipur, Chhattisgarh, India. **Department of Applied Mathematics, Government Engineering College, Raipur, Chhattisgarh, India.

Mishra, P., Diwan, S. D. (2018). The Iterative Method for Strong Convergence of Variational Inequality with H-Accretive Operator, i-manager's Journal on Mathematics, 7(4), 20-26. https://doi.org/10.26634/jmat.7.4.15278

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Effects of Heat and Mass Transfer on MHD Flow of Viscoelastic Micro-Polar Fluid Through A Porous Medium with Heat Source and Chemical Reaction

Kuppala R. Sekhar*

Assistant Professor, Department of H & S, Vemu Institute of Technology, P. Kothakota, Chittoor District, Andhra Pradesh, India.

Sekhar, K. R. (2018). Effects of Heat and Mass Transfer on MHD Flow of Viscoelastic Micro-Polar Fluid Through a Porous Medium with Heat Source and Chemical Reaction, i-manager's Journal on Mathematics, 7(4), 27-38. https://doi.org/10.26634/jmat.7.4.15377

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Effect of Inclined Magnetic Field and Radiation Absorption on Mixed Convection Flow of a Chemically Reacting and Radiating Fluid Past a Semi Infinite Porous Plate

M. Obulesu* , R. Siva Prasad**

* Research Scholar, Department of Mathematics, Sri Krishnadevaraya University, Anantapuram, Andhra Pradesh, India. ** Professor and Head, Department of Mathematics, Sri Krishnadevaraya University, Anantapuram, Andhra Pradesh, India.

Obulesu, M., Prasad, R. S. (2018). Effect of Inclined Magnetic Field and Radiation Absorption on Mixed Convection Flow of a Chemically Reacting and Radiating Fluid Past a Semi Infinite Porous Plate, i-manager's Journal on Mathematics, 7(4), 39-49. https://doi.org/10.26634/jmat.7.4.15561

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*Department of General Studies, College of Applied Sciences, Nizwa, Oman.

**Department of Information Technology, Nizwa College of Technology, Nizwa, Oman.

R. Srinivas* , G. V. L. N. Srihari, S. V. S. Girija*

*Department of Applied Mathematics, Amity School of Engineering and Technology, Amity University, Raipur, Chhattisgarh, India.

**Department of Applied Mathematics, Government Engineering College, Raipur, Chhattisgarh, India.

* Research Scholar, Department of Mathematics, Sri Krishnadevaraya University, Anantapuram, Andhra Pradesh, India.

** Professor and Head, Department of Mathematics, Sri Krishnadevaraya University, Anantapuram, Andhra Pradesh, India.