EXISTENCE AND UNIQUENESS THEOREMS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

By Ahmed A. Hamoud, Kirtiwant P. Ghadle, M. Issa, Giniswamy Giniswamy. International Journal of Apllied Mathematics, 2018

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In this article, the homotopy perturbation method has been successfully applied to find the approximate solution of a Caputo fractional Volterra-Fredholm integro-differential equation. The reliability of the method and reduction in the size of the computational work give this method a wider applicability. Also, the behavior of the solution can be formally determined by the analytical approximate. Moreover, we proved the existence and uniqueness results of the solution. Finally, an example is included to demonstrate the validity and applicability of the proposed technique. AMS Subject Classification: 26A33, 35C10, 65H20

Subfields: Applied Mathematics, Mechanics of Materials, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/0922b3c9579446820c12e198d41de38ef9717a2c

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In Applied Mathematics

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In Mechanics of Materials

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Citations in the corpus

• Stability analysis of a coupled system of nonlinear implicit fractional anti‐periodic boundary value problem (2019, methodology): “Repeat the similar procedure for the second equation of the system (9) and using (24) with (b3) of Remark 4.”