- Tytuł:
- Existence and convergence results for Caputo fractional Volterra integro-differential equations
- Autorzy:
-
Hamoud, A. A.
Bani Issa, M. Sh.
Ghadle, K. P.
Abdulghani, M. - Powiązania:
- https://bibliotekanauki.pl/articles/2052432.pdf
- Data publikacji:
- 2018
- Wydawca:
- Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
- Tematy:
-
homotopy analysis method
Caputo fractional derivative
Volterra integro-differential equation
approximate solution
homotopijna metoda analizy
pochodna ułamkowa Caputo
równanie różniczkowe Volterry
rozwiązanie przybliżone - Opis:
- 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.
- Źródło:
-
Journal of Mathematics and Applications; 2018, 41; 109-121
1733-6775
2300-9926 - Pojawia się w:
- Journal of Mathematics and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł