Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions

Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions

Abstract In this paper, we introduce and study a tripled system of three associated fractional differential equations. Prior to proceeding to the main results, the proposed system is converted into an equivalent integral form by the help of fractional calculus. Our approach is based on using the add...

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Main Authors: Mohammed M. Matar, Iman Abo Amra, Jehad Alzabut
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Boundary Value Problems
Subjects:
Tripled fractional differential system
Cyclic permutation
Tripled boundary conditions
Banach and Krasnoselskii fixed point theorems
Online Access:http://link.springer.com/article/10.1186/s13661-020-01437-x
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spelling doaj-751f62673ae04a8fb7305d37b236c1392020-11-25T03:37:48ZengSpringerOpenBoundary Value Problems1687-27702020-08-012020111310.1186/s13661-020-01437-xExistence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditionsMohammed M. Matar0Iman Abo Amra1Jehad Alzabut2Department of Mathematics, Al-Azhar University-GazaDepartment of Mathematics, Al-Azhar University-GazaDepartment of Mathematics and General Sciences, Prince Sultan UniversityAbstract In this paper, we introduce and study a tripled system of three associated fractional differential equations. Prior to proceeding to the main results, the proposed system is converted into an equivalent integral form by the help of fractional calculus. Our approach is based on using the addressed tripled system with cyclic permutation boundary conditions. The existence and uniqueness of solutions are investigated. We employ the Banach and Krasnoselskii fixed point theorems to prove our main results. Illustrative examples are presented to explain the theoretical results.http://link.springer.com/article/10.1186/s13661-020-01437-xTripled fractional differential systemCyclic permutationTripled boundary conditionsBanach and Krasnoselskii fixed point theorems
collection DOAJ
language English
format Article
sources DOAJ
author Mohammed M. Matar
Iman Abo Amra
Jehad Alzabut
spellingShingle Mohammed M. Matar
Iman Abo Amra
Jehad Alzabut
Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions
Boundary Value Problems
Tripled fractional differential system
Cyclic permutation
Tripled boundary conditions
Banach and Krasnoselskii fixed point theorems
author_facet Mohammed M. Matar
Iman Abo Amra
Jehad Alzabut
author_sort Mohammed M. Matar
title Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions
title_short Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions
title_full Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions
title_fullStr Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions
title_full_unstemmed Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions
title_sort existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2770
publishDate 2020-08-01
description Abstract In this paper, we introduce and study a tripled system of three associated fractional differential equations. Prior to proceeding to the main results, the proposed system is converted into an equivalent integral form by the help of fractional calculus. Our approach is based on using the addressed tripled system with cyclic permutation boundary conditions. The existence and uniqueness of solutions are investigated. We employ the Banach and Krasnoselskii fixed point theorems to prove our main results. Illustrative examples are presented to explain the theoretical results.
topic Tripled fractional differential system
Cyclic permutation
Tripled boundary conditions
Banach and Krasnoselskii fixed point theorems
url http://link.springer.com/article/10.1186/s13661-020-01437-x
work_keys_str_mv AT mohammedmmatar existenceofsolutionsfortripledsystemoffractionaldifferentialequationsinvolvingcyclicpermutationboundaryconditions
AT imanaboamra existenceofsolutionsfortripledsystemoffractionaldifferentialequationsinvolvingcyclicpermutationboundaryconditions
AT jehadalzabut existenceofsolutionsfortripledsystemoffractionaldifferentialequationsinvolvingcyclicpermutationboundaryconditions
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