Solution of Fractional Integro-differential Equation Using modified Homotopy Perturbation Technique and Construction orthogonal polynomials as Basis Functions

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Faculty of Technology Education, Abubakar Tafawa Balewa University Bauchi.


A numerical methodology based on quartic weighted polynomials for finding the solution of fractional integro-differential equations (FIDEs) is presented. The fractional derivative is taken into account within in the Caputo sense. The suggested method involves the application of the homotopy perturbation method and used the initial approximation as the constructed orthogonal polynomials. The ensuing equations involve comparing the coefficients of the homotopy parameter P, which then resulted in a system of a linear algebraic equation and then solved using MAPLE 18. To demonstrate the relevance of the bestowed methodology some numerical examples were solved, and the numerical results obtained show that the techniques are easy to implement and accurate when applied to fractional FIDEs. The graphical solution of the method is displayed.



Orthogonal polynomial; Modified homotopy perturbation method; Fractional integro-differential equations