Application Of Triple Shehu Transforms to Fractional Differential Equations

TL;DR

This paper introduces the triple Shehu transform, a new integral transform generalizing existing transforms, and applies it to solve fractional differential equations involving Caputo derivatives.

Contribution

The paper develops formulas for the triple Shehu transform with Caputo operators and demonstrates its application to fractional PDEs.

Findings

Derived formulas for the triple Shehu transform with Caputo derivatives

Successfully applied the transform to solve fractional PDEs

Extended the utility of integral transforms in fractional calculus

Abstract

ABSTRACT. The triple Shehu transform, a new generalisation of the triple Laplace transforms and triple Sumudu transform, has recently been introduced. The triple Shehu transform formulas for fractional Caputo operators were obtained in this study. The generalised integral transform was subsequently applied to solve fractional partial differential equations including the Caputo derivative.