Convergence analysis and approximate solution of fractional differential equations

Bhausaheb R. Sontakke 1 * and Rajashri Pandit 2

doi:10.26637/MJM0702/0029

Convergence analysis and approximate solution of fractional differential equations

Authors :

Bhausaheb R. Sontakke ^{1 *} and Rajashri Pandit²

Author Address :

¹ Department of Mathematics, Pratishthan Mahavidalaya , Paithan, Aurangabad (M.S.), India.
² Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431 004, India (M.S.)

*Corresponding author.

Abstract :

This paper investigates the iterative solution of linear and nonlinear fractional partial differential equations using fractional Adomian decomposition method (ADM). We also establish uniqueness and convergence criteria for obtaining approximate solution. To illustrate applicability of present technique, solutions of some test problems and their graphical representation are done by Mathematica software.

Keywords :

Fractional differential equation, Adomian Decomposition Method, Uniqueness, Convergence.

DOI :

10.26637/MJM0702/0029

Article Info :

Received : January 11, 2019; Accepted : April 22, 2019.