THE APPROXIMATE SOLUTIONS OF FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS BY USING ANALYTICAL TECHNIQUES

Autor:	Hamoud Ahmed A., Ghadle Kirtiwant P.
Jazyk:	English<br />Russian
Rok vydání:	2018
Předmět:	Adomian decomposition method ◆ Laplace transform ◆ Volterra-Fredholm integro-differential equation ◆ Caputo fractional derivative Mathematics QA1-939
Zdroj:	Проблемы анализа, Vol 7(25), Iss 1, Pp 41-58 (2018)
Druh dokumentu:	article
ISSN:	2306-3424 2306-3432
DOI:	10.15393/j3.art.2018.4350
Popis:	This paper demonstrates a study on some significant latest innovations in the approximation techniques to find the approximate solutions of Caputo fractional Volterra-Fredholm integro-differential equations. To apply this, the study uses Adomian decomposition method and modified Laplace Adomian decomposition method. A wider applicability of these techniques is based on their reliability and reduction in the size of the computational work. This study provides analytical approximate to determine the behavior of the solution. It proves the existence and uniqueness results and convergence of the solution. In addition, it brings an example to examine the validity and applicability of the proposed techniques.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/634c212aa3504040bba8c6bbaf7f543c Zobrazit plný text záznamu View record in DOAJ