"Numerical Simulation for System of Time-Fractional Linear and Nonlinea" by Devendra Kumar, Jagdev Singh et al.

Progress in Fractional Differentiation & Applications

Article Title

Numerical Simulation for System of Time-Fractional Linear and Nonlinear Differential Equations

Authors

Devendra Kumar, Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, IndiaFollow
Jagdev Singh
Amit Prakash
Ram Swroop

Author Country (or Countries)

India

Abstract

This paper is concerned with q-homotopy analysis transform technique to investigate system of differential equations (DE) of arbitrary order. The proposed technique describes the convergence range at large domain, by appropriate selection of initial approximation, auxiliary parameter and asymptotic parameter n (n ≥ 1). The proposed technique provides infinitely many more options for solution series and converge rapidly compared to Homotopy Analysis Method (HAM) and Homotopy Perturbation Transform Algorithm (HPTA) in same term iterations. A comparative study of suggested scheme with exact, HAM and HPTA have been done and Maple package is used to enhance the power and efficiency of proposed technique.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/050107

Recommended Citation

Kumar, Devendra; Singh, Jagdev; Prakash, Amit; and Swroop, Ram (2019) "Numerical Simulation for System of Time-Fractional Linear and Nonlinear Differential Equations," Progress in Fractional Differentiation & Applications: Vol. 5: Iss. 1, Article 7.
DOI: http://dx.doi.org/10.18576/pfda/050107
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol5/iss1/7

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