Author:
Kazem Mohanned F.,Al-Fayadh Ali
Abstract
Abstract
In our article, we develop an efficient compined method consisting of integral transform and Homotopy Perturbation Method for solving Fractional Integro-differential equations of Fredholm type. Sawi transformation formulas of fractional types are derived and used in the proposed method. The Caputo derivative is the fractional derivative type that we used. The results of numerical experiments show the efficiency of our newly developed method. Exact solution and the existing method Homotopy perturbation method is used in the comparison with our new results.
Subject
General Physics and Astronomy
Reference20 articles.
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2. Fractional Nonlinear Volterra–Fredholm Integral Equation Involving Atangana–Baleanu Fractional Derivative: Framelet Applications;Mohammad;Advance in Difference Equations,2021
3. Numerical Solutions of Fractional Integro-Differential Equation with Weakly Singular Kernels;Pedas;AIP Conference Proceedings,2019
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