Some Existence Results for a System of Nonlinear Sequential Fractional Differential Equations with Coupled Nonseparated Boundary Conditions

This article concerns with the existence and uniqueness theory of solutions for sequential fractional differential system involving Caputo fractional derivatives of order 1<alpha, beta<2 with coupled nonseparated boundary conditions. The standard tools of the fixed point theory were used to es...

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Main Author: Muath Awadalla
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2022/8992894
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author Muath Awadalla
author_facet Muath Awadalla
author_sort Muath Awadalla
collection DOAJ
description This article concerns with the existence and uniqueness theory of solutions for sequential fractional differential system involving Caputo fractional derivatives of order 1<alpha, beta<2 with coupled nonseparated boundary conditions. The standard tools of the fixed point theory were used to establish the main results. Application is introduced to show the validity of our results.
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issn 1099-0526
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publishDate 2022-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-6f94b7d82401413e8d2fbef3f3a6de832025-08-20T02:06:13ZengWileyComplexity1099-05262022-01-01202210.1155/2022/8992894Some Existence Results for a System of Nonlinear Sequential Fractional Differential Equations with Coupled Nonseparated Boundary ConditionsMuath Awadalla0Department of Mathematics and StatisticsThis article concerns with the existence and uniqueness theory of solutions for sequential fractional differential system involving Caputo fractional derivatives of order 1<alpha, beta<2 with coupled nonseparated boundary conditions. The standard tools of the fixed point theory were used to establish the main results. Application is introduced to show the validity of our results.http://dx.doi.org/10.1155/2022/8992894
spellingShingle Muath Awadalla
Some Existence Results for a System of Nonlinear Sequential Fractional Differential Equations with Coupled Nonseparated Boundary Conditions
Complexity
title Some Existence Results for a System of Nonlinear Sequential Fractional Differential Equations with Coupled Nonseparated Boundary Conditions
title_full Some Existence Results for a System of Nonlinear Sequential Fractional Differential Equations with Coupled Nonseparated Boundary Conditions
title_fullStr Some Existence Results for a System of Nonlinear Sequential Fractional Differential Equations with Coupled Nonseparated Boundary Conditions
title_full_unstemmed Some Existence Results for a System of Nonlinear Sequential Fractional Differential Equations with Coupled Nonseparated Boundary Conditions
title_short Some Existence Results for a System of Nonlinear Sequential Fractional Differential Equations with Coupled Nonseparated Boundary Conditions
title_sort some existence results for a system of nonlinear sequential fractional differential equations with coupled nonseparated boundary conditions
url http://dx.doi.org/10.1155/2022/8992894
work_keys_str_mv AT muathawadalla someexistenceresultsforasystemofnonlinearsequentialfractionaldifferentialequationswithcouplednonseparatedboundaryconditions