Shehu Conformable Fractional Transform, Theories and Applications

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

References

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