"The Solution of Nonlinear Time-Fractional Differential Equations: An A" by Puspanjali Jena, Satyananda Mohapatra et al.

Progress in Fractional Differentiation & Applications

Article Title

The Solution of Nonlinear Time-Fractional Differential Equations: An Approximate Analytical Approach

Authors

Puspanjali Jena, Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar-751030, Odisha, IndiaFollow
Satyananda Mohapatra, Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar-751030, Odisha, IndiaFollow
Satyaranjan Mishra, Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar-751030, Odisha, IndiaFollow
Areej A. Al-Moneef, Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi ArabiaFollow
Awatif A. Hindi, Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi ArabiaFollow
Kottakkaran Sooppy Nisar, Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Saudi ArabiaFollow

Author Country (or Countries)

Saudi Arabia

Abstract

The nonlinear time fractional order coupled differential equations are considered in the present investigation. In particular, homogeneous advection equation coupled Burger’s equations, and coupled Schrodinger-Kdv equations are taken care of for the several fraction orders. The novelty of the current investigation is the explicit and analytical solution of these equations by employing a new approach called “Reduced Differential Transform Method” (RDTM) in association with the “Adomian Decomposition Method” (ADM). Finally, the method’s efficiency and convergence are obtained by comparing the fractional order’s exact solution through particular examples. These are presented via surface and contour plots.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/080112

Recommended Citation

Jena, Puspanjali; Mohapatra, Satyananda; Mishra, Satyaranjan; A. Al-Moneef, Areej; A. Hindi, Awatif; and Sooppy Nisar, Kottakkaran (2022) "The Solution of Nonlinear Time-Fractional Differential Equations: An Approximate Analytical Approach," Progress in Fractional Differentiation & Applications: Vol. 8: Iss. 1, Article 12.
DOI: http://dx.doi.org/10.18576/pfda/080112
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol8/iss1/12

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