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Research Article

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

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N. B. Manjare Department of Mathematics, Shivaji University, Kolhapur - 416004, Maharashtra, INDIA
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H. T. Dinde Department of Mathematics, Shivaji University, Kolhapur - 416004, Maharashtra, INDIA
Volume 18, Issue 2 Pages 349-368 August 30, 2022 346 downloads
Article overview

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 $\alpha$ ($1<\alpha \leq 2$). The contemplated graphs show that the behavior of exact and approximate solution for different values of fractional order $ \alpha$. 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.

Keywords and Phrases

Fractional CalculusSumudu transformVariational iteration methodConvergence of Variational iteration methodLinear and Nonlinear partial differential equations.

AMS Subject Classification

26A33, 65R10, 65M12, 35R11.

Reference information

How to Cite

N. B. Manjare, H. T. Dinde (2022). VARIATIONAL ITERATION METHOD FOR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS - A UNIVERSAL APPROACH BY SUMUDU TRANSFORM. South East Asian Journal of Mathematics and Mathematical Sciences, 18(2), 349-368.
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