Shehu Conformable Fractional Transform, Theories and Applications

Year 2021, Volume: 18 Issue: 1, 24 - 32, 01.05.2021

Mohamed Elarbı Benattıa Kacem Belghaba

Abstract

The study of famous properties of fractional derivative and their proof has gained a
lot of attention recently. In present work, we have been interested to generalizing the
definition and some rules and important properties of the Shehu transform to the conformable
fractional order which have been demonstrated. We use some properties of the
conformable fractional Shehu transform to find the general analytical solutions of linear
and nonlinear conformable fractional differential equations in the case homogeneous
and nonhomogeneous based on the new transform and Adomain polynomial method.
The two illustrative examples indicate that the used transform is powerful, effective and
applicable for the both linear and nonlinear problems.

Keywords

Shehu Conformable Transform, Fractional differential Equation, Riccati equation, Adomain polynomial

Supporting Institution

laboratoryof mathematics and its aplications

Project Number

2

Thanks

The authors are thankful to the anonymous reviewers for their valuable comments and suggestions to improve the quality of the paper

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