• SUMUDU DECOMPOSITION METHOD FOR SOLVING FRACTIONAL ORDER DIFFUSION AND WAVE EQUATIONS

Abstract

In this work, we apply the Sumudu decomposition method to derive approximate analytical solutions in series form for the linear and non-linear fractional diffusion and wave equations within the Caputo fractional derivative. This technique is a hybrid of the Sumudu transform method and the Adomian decomposition technique. The procedure is user-friendly and reliable. Some illustrative examples are provided to demonstrate the validity and applicability of the proposed technique.