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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Main Author: Faraj Y. Ishak
Format: Article
Language:English
Published: Faculty of Science and Technology, UIN Sunan Ampel Surabaya 2020-05-01
Series:Mantik: Jurnal Matematika
Subjects:
Online Access:http://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/873
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spelling doaj-9ce44901c9a44000b8b1fea7345eafb02021-05-02T20:05:00ZengFaculty of Science and Technology, UIN Sunan Ampel SurabayaMantik: Jurnal Matematika2527-31592527-31672020-05-016111210.15642/mantik.2020.6.1.1-12873Existence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary ConditionsFaraj Y. Ishak0University of Duhok IraqThis 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.http://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/873existence and uniqueness; stability; fractional integrodifferential equations; boundary value problem; existence and uniqueness theorem
collection DOAJ
language English
format Article
sources DOAJ
author Faraj Y. Ishak
spellingShingle Faraj Y. Ishak
Existence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary Conditions
Mantik: Jurnal Matematika
existence and uniqueness; stability; fractional integrodifferential equations; boundary value problem; existence and uniqueness theorem
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 Faculty of Science and Technology, UIN Sunan Ampel Surabaya
series Mantik: Jurnal Matematika
issn 2527-3159
2527-3167
publishDate 2020-05-01
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.
topic existence and uniqueness; stability; fractional integrodifferential equations; boundary value problem; existence and uniqueness theorem
url http://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/873
work_keys_str_mv AT farajyishak existencesolutionfornonlinearsystemoffractionalintegrodifferentialequationsofvolterratypewithfractionalboundaryconditions
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