Solving Volterra Integro-Differential Equations of Fractional Order Using Perturbation Collocation Method.

Ayodele Olakiitan Owolanke; Obarhua Friday Oghenerukevwe; Olushola C. Akeremale

doi:10.52589/AJMSS-F6NAYRAE

Solving Volterra Integro-Differential Equations of Fractional Order Using Perturbation Collocation Method.

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African Journal of Mathematics and Statistics Studies

Vol. 8Issue 12025pp. 209–219Published 25 March 2025

DOI 10.52589/AJMSS-F6NAYRAE

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Abstract:

This paper is concerned with the formulation of a scheme via construction of Canonical with Shifted-Chebyshev Polynomials (SCP), for the direct solution of fractional order integro-differential equations (FIDEs). Perturbation collocation method (PCB) is the approximate method developed, to handle a special singular class of fractional multi-order Volterra type for approximation. The process involves the incorporation of perturbation variables otherwise known as parameters, to the given mathematical models under consideration. Systems of equations are evolved, and the embedded unknown constants are sought for.

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