Homotopy perturbation method for solving Caputo‐type fractional‐order Volterra‐Fredholm integro‐differential equations.

[EN]This work considers the solution of fractional Volterra-Fredholm integro-differential equations. Here, we consider the approximation of the solution based on semi-analytical approaches. We use the homotopy perturbation method approach for this purpose. It is observed through different examples t...

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Detalles Bibliográficos
Autores: Das, Pratibhamoy, Rana, Subrata, Ramos Calle, Higinio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/157038
Acceso en línea:http://hdl.handle.net/10366/157038
Access Level:acceso abierto
Palabra clave:Approximation method
Caputo fractional derivative
Integro-differential equation
Homotopy perturbation
Volterra-Fredholm equation
12 Matemáticas
Descripción
Sumario:[EN]This work considers the solution of fractional Volterra-Fredholm integro-differential equations. Here, we consider the approximation of the solution based on semi-analytical approaches. We use the homotopy perturbation method approach for this purpose. It is observed through different examples that the adopted strategy is not only an effective tool for approximation of the solution but also can lead to the exact solution of certain problems.