Existence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary Conditions

This article investigates existence, uniqueness and stability solutions of new fractional Volterra integro-differential equations system with fractional boundary conditions by using the existence and uniqueness theorem. Theorems on existence and uniqueness of solution are established under some nece...

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Autor principal:	Faraj Y. Ishak
Formato:	article
Lenguaje:	EN
Publicado:	Department of Mathematics, UIN Sunan Ampel Surabaya 2020
Materias:	existence and uniqueness; stability; fractional integrodifferential equations; boundary value problem; existence and uniqueness theorem Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/9ce44901c9a44000b8b1fea7345eafb0
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spelling	oai:doaj.org-article:9ce44901c9a44000b8b1fea7345eafb02021-12-02T14:27:07ZExistence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary Conditions2527-31592527-316710.15642/mantik.2020.6.1.1-12https://doaj.org/article/9ce44901c9a44000b8b1fea7345eafb02020-05-01T00:00:00Zhttp://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/873https://doaj.org/toc/2527-3159https://doaj.org/toc/2527-3167This article investigates existence, uniqueness and stability solutions of new fractional Volterra integro-differential equations system with fractional boundary conditions by using the existence and uniqueness theorem. Theorems on existence and uniqueness of solution are established under some necessary and sufficient conditions on compact space. A simple example of application of the main results of this article is presented.Faraj Y. IshakDepartment of Mathematics, UIN Sunan Ampel Surabayaarticleexistence and uniqueness; stability; fractional integrodifferential equations; boundary value problem; existence and uniqueness theoremMathematicsQA1-939ENMantik: Jurnal Matematika, Vol 6, Iss 1, Pp 1-12 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	existence and uniqueness; stability; fractional integrodifferential equations; boundary value problem; existence and uniqueness theorem Mathematics QA1-939
spellingShingle	existence and uniqueness; stability; fractional integrodifferential equations; boundary value problem; existence and uniqueness theorem Mathematics QA1-939 Faraj Y. Ishak Existence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary Conditions
description	This article investigates existence, uniqueness and stability solutions of new fractional Volterra integro-differential equations system with fractional boundary conditions by using the existence and uniqueness theorem. Theorems on existence and uniqueness of solution are established under some necessary and sufficient conditions on compact space. A simple example of application of the main results of this article is presented.
format	article
author	Faraj Y. Ishak
author_facet	Faraj Y. Ishak
author_sort	Faraj Y. Ishak
title	Existence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary Conditions
title_short	Existence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary Conditions
title_full	Existence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary Conditions
title_fullStr	Existence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary Conditions
title_full_unstemmed	Existence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary Conditions
title_sort	existence solution for nonlinear system of fractional integrodifferential equations of volterra type with fractional boundary conditions
publisher	Department of Mathematics, UIN Sunan Ampel Surabaya
publishDate	2020
url	https://doaj.org/article/9ce44901c9a44000b8b1fea7345eafb0
work_keys_str_mv	AT farajyishak existencesolutionfornonlinearsystemoffractionalintegrodifferentialequationsofvolterratypewithfractionalboundaryconditions
_version_	1718391328191021056

Existence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary Conditions

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