Journal of Siberian Federal University. Mathematics & Physics / Existence and Uniqueness of the Solution for Volterra-Fredholm Integro-Differential Equations

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (6)
Authors
Hamoud, Ahmed A.; Ghadle, Kirtiwant P.
Contact information
Hamoud, Ahmed A.: Department of Mathematics Dr. Babasaheb Ambedkar Marathwada University Aurangabad-431 004 (M.S.) India Department of Mathematics Taiz University Taiz-96704 Yemen; ; Ghadle, Kirtiwant P.: Department of Mathematics Dr. Babasaheb Ambedkar Marathwada University Aurangabad-431 004 (M.S.) India;
Keywords
Modified Adomian decomposition method; Volterra-Fredholm integro-differential equation; existence and uniqueness results; approximate solution
Abstract

In this article, modified Adomian decomposition method is successfully applies to find the approximate so- lutions of Volterra-Fredholm integro-differential equations. Moreover, we prove the existence and unique- ness results and convergence of the solutions. Finally, an example is included to demonstrate the validity and applicability of the proposed technique

Pages
692–701
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/108417