A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions

Existence and uniqueness results of positive solutions to nonlinear boundary value problems for Caputo-Hadamard fractional differential equations by using some fixed point theorems are presented. The related Green’s function for the boundary value problem is given, and some useful properties of Gree...

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Main Author: Wafa Shammakh
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/7057910
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spelling doaj-f5ba18202df54ed998c08f673bdbb92e2020-11-24T22:01:47ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/70579107057910A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary ConditionsWafa Shammakh0Faculty of Science, King Abdulaziz University, AL Faisaliah Campus, Jeddah, Saudi ArabiaExistence and uniqueness results of positive solutions to nonlinear boundary value problems for Caputo-Hadamard fractional differential equations by using some fixed point theorems are presented. The related Green’s function for the boundary value problem is given, and some useful properties of Green’s function are obtained. Example is presented to illustrate the main results.http://dx.doi.org/10.1155/2016/7057910
collection DOAJ
language English
format Article
sources DOAJ
author Wafa Shammakh
spellingShingle Wafa Shammakh
A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions
Journal of Function Spaces
author_facet Wafa Shammakh
author_sort Wafa Shammakh
title A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions
title_short A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions
title_full A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions
title_fullStr A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions
title_full_unstemmed A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions
title_sort study of caputo-hadamard-type fractional differential equations with nonlocal boundary conditions
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2016-01-01
description Existence and uniqueness results of positive solutions to nonlinear boundary value problems for Caputo-Hadamard fractional differential equations by using some fixed point theorems are presented. The related Green’s function for the boundary value problem is given, and some useful properties of Green’s function are obtained. Example is presented to illustrate the main results.
url http://dx.doi.org/10.1155/2016/7057910
work_keys_str_mv AT wafashammakh astudyofcaputohadamardtypefractionaldifferentialequationswithnonlocalboundaryconditions
AT wafashammakh studyofcaputohadamardtypefractionaldifferentialequationswithnonlocalboundaryconditions
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