VARIATIONAL ITERATION METHOD FOR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS - A UNIVERSAL APPROACH BY SUMUDU TRANSFORM

N. B. Manjare; H. T. Dinde

doi:10.56827/SEAJMMS.2022.1802.29

N. B. Manjare Department of Mathematics, Shivaji University, Kolhapur - 416004, Maharashtra, INDIA
H. T. Dinde Department of Mathematics, Shivaji University, Kolhapur - 416004, Maharashtra, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2022.1802.29

Keywords: Fractional Calculus, Sumudu transform, Variational iteration method, Convergence of Variational iteration method, Linear and Nonlinear partial differential equations.

Abstract

The important feature of this research paper is an extension to solve linear and nonlinear applications of fractional partial differential equations suggested by D. Ziane and M. H. Cherif for various values of α (1 < α ≤ 2). The contemplated graphs show that the behavior of exact and approximate solution for different values of fractional order α. The effectiveness and convenience of the method is tested with the help of two illustrative examples. The fractional derivative is described in the Liouville-Caputo sense.