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

Albuohimad, Basim

doi:10.47974/JIM-1979

Open Access Research Article

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

^*Basim AlbuohimadCorresponding authorbasim.albuohimad@uokerbala.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of KerbalaKarbala, IraqView full profile →

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pp. 823–830Vol. 28Issue 3-AApril 2025DOI: 10.47974/JIM-1979XML

Received:: 08 May 2024
Published Online:: 08 May 2025
Article type:: Research Article
Language:: EN
Article no.:: JIM-1979
Pages:: 823–830

Abstract

In this work, we studied fractional differential equations (FDE), which are the differentials of non-integer order. We also discussed the integral differential equations (IDE). By connecting (FDE) and (IDE), a fractional integral differential equation (FIDE) is formed. This research aims to apply the Shehu transform (Տ-transform) to solve this type of linear fractional integral differential equation. The Տ-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 Տ-transform. Illustrative examples were applied to exhibit the effectiveness and capacity of the proposed innovation.

Keywords

Fractional calculus Integral equation Shehu transform

Subject Classifications

34A0835R11

References

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