An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions

This paper studies the existence of solutions for a boundary value problem of nonlinear fractional hybrid differential inclusions by using a fixed point theorem due to Dhage (2006). The main result is illustrated with the aid of an example.

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Main Authors: Bashir Ahmad, Sotiris K. Ntouyas
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/705809
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author Bashir Ahmad
Sotiris K. Ntouyas
author_facet Bashir Ahmad
Sotiris K. Ntouyas
author_sort Bashir Ahmad
collection DOAJ
description This paper studies the existence of solutions for a boundary value problem of nonlinear fractional hybrid differential inclusions by using a fixed point theorem due to Dhage (2006). The main result is illustrated with the aid of an example.
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publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-2c4cc2e428c346e8902e367a88507a622025-08-20T02:38:49ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/705809705809An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary ConditionsBashir Ahmad0Sotiris K. Ntouyas1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceThis paper studies the existence of solutions for a boundary value problem of nonlinear fractional hybrid differential inclusions by using a fixed point theorem due to Dhage (2006). The main result is illustrated with the aid of an example.http://dx.doi.org/10.1155/2014/705809
spellingShingle Bashir Ahmad
Sotiris K. Ntouyas
An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions
Abstract and Applied Analysis
title An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions
title_full An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions
title_fullStr An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions
title_full_unstemmed An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions
title_short An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions
title_sort existence theorem for fractional hybrid differential inclusions of hadamard type with dirichlet boundary conditions
url http://dx.doi.org/10.1155/2014/705809
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