Analytical Solution of Fractional Differential Equations arising in Fluid Mechanics by using Sumudu transform method

Abstract

The aim of the present paper is to present analytical solution of fractional differential equations. The fractional derivative is considered in Caputo sense. The results are derived by the application of Sumudu transform in term of Mittag-Leffler function, which are suitable for numerical computation. The results obtain by the Sumudu transform method indicate that the approach is easy to implement and computationally very attractive.

Keywords

• fractional-order differential equations
• riemann-liouvile fractional integrals
• mittag-leffler function
• wright function; binomial series
• gamma function
• sumudu transform of the fractional derivative