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Research Article Open access CC BY 4.0

Exact Solution of Space-Time Fractional Partial Differential Equations by Adomian Decomposition Method

Vidya N. Bhadgaonkar, Bhausaheb R. Sontakke

Journal of Advances in Mathematics and Computer Science · pp. 75–87 · Published 30 Jul 2021

10.9734/jamcs/2021/v36i630373

Abstract

The intention behind this paper is to achieve exact solution of one dimensional nonlinear fractional partial differential equation(NFPDE) by using Adomian decomposition method(ADM) with suitable initial value. These equations arise in gas dynamic model and heat conduction model. The results show that ADM is powerful, straightforward and relevant to solve NFPDE. To represent usefulness of present technique, solutions of some differential equations in physical models and their graphical representation are done by MATLAB software.

Biological population model Heat conduction model fractional calculus Adomian decomposition method Mittage-Leffler function

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