Existence and convergence results for Caputo fractional Volterra integro-differential equations

• Autorzy: Hamoud A. A. , Bani Issa M. Sh. , Ghadle K. P. , Abdulghani M.

Identyfikatory

DOI

10.7862/rf.2018.9

• Języki publikacji: EN

Abstrakty

EN

In this article, homotopy analysis method is successfully applied to find the approximate solution of Caputo fractional Volterra 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 analytical approximate. Moreover, we proved the existence and convergence of the solution. Finally, an example is included to demonstrate the validity and applicability of the proposed technique.

Słowa kluczowe

EN

homotopy analysis method; Caputo fractional derivative; Volterra integro-differential equation; approximate solution

PL

homotopijna metoda analizy; pochodna ułamkowa Caputo; równanie różniczkowe Volterry; rozwiązanie przybliżone

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2018
• Tom: Vol. 41
• Strony: 109--121
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Hamoud A. A.

• Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431 004, India
• Department of Mathematics, Taiz University, Taiz, Yemen

autor

Bani Issa M. Sh.

• Department of Mathematics, P.E.T. Research Foundation Mandya, University of Mysore, 570401, India

autor

Ghadle K. P.

• Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431 004, India

autor

Abdulghani M.

• Ministry of Education, Directorate General of Education, Ninawa, Iraq

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).