Exact solution of some fractional integral differential equations by using S-transform

In this work, we studied fractional differential equations (FDE), which are the differentialsSubjectofnon-integerClassification:order. Wealso discussed the integral differential equations (IDE). ByKeywords:connecting (FDE) and (IDE), a fractional integral differential equation (FIDE) is formed. This research aims to apply the Shehu transform (S-transform) to solve this type of linear fractional integral differential equation. The S-transform is a powerful tool in math and engineering. This will permit us to convert (FIDE) to algebraic equations, and then by solving this equation, we can acquire the unknown function utilizing the inverse S-transform. Illustrative examples were applied to exhibit the effectiveness and capacity of the proposed innovation.