Solving Delay Integro-differential Equations of Pantograph Type Via Modifications of Some Semi-analytical Methods
Maamoun Alkourt *
Department of Mathematics, Faculty of science, University of Aleppo, Aleppo, Syria.
Nasr Al Din Ide
Department of Mathematics, Faculty of science, University of Aleppo, Aleppo, Syria.
Bachir Nour Kharrat
Department of Mathematics, Faculty of science, University of Aleppo, Aleppo, Syria.
*Author to whom correspondence should be addressed.
Abstract
In this work, we apply two hybrid Adomian Decomposition Method (ADM) with Mohand integral transform and Homotopy Perturbation Method (HPM) with Mohand integral transform to solve some of Delay Volterra Integro-Differential Equations of Pantograph type arising in engineering and physical applications. We have obtained the exact solutions of these equations; several examples are illustrated to test the power and efficiency of the proposed methods. Further, the obtained results of the hybrid approach are implemented in Maple software.
Keywords: Adomian decomposition method, homotopy perturbation method, delay volterra integro - differential equations, pantograph type, mohand transform
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