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Research Article Open access CC BY 4.0

Solving Time Fractional Sharma-Tasso-Olever Equation using Fractional Complex Transform with Iterative Method

Bhausaheb R. Sontakke, Amjad Shaikh

Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 14 Oct 2016

10.9734/BJMCS/2016/29039

Abstract

In this paper, we consider time fractional Sharma-Tasso-Olever equation based on Jumarie's modified Riemann-Liouville derivatives. By using fractional complex transform the time fractional Sharma-Tasso-Olever equation reduces to nonlinear partial differential equation and then new iterative method is applied to get approximate solutions. The Numerical results and the graphs of the solutions are compared with the exact solutions to verify the applicability, efficiency and accuracy of the method.

Fractional complex transforms modified Riemann-Liouville definition new iterative method; time fractional Sharma-Tasso-Olever equation

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