Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations

Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations

We give some existence results and Ulam stability results for a class of Hadamard-Stieltjes integral equations. We present two results: the first one is an existence result based on Schauder’s fixed point theorem and the second one is about the generalized Ulam-Hyers-Rassias stability.

Bibliographic Details
Main Authors: Saïd Abbas, Eman Alaidarous, Mouffak Benchohra, Juan J. Nieto
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/317094
id doaj-8d574e3c63354b54b7b2be37291dd303
record_format Article
spelling doaj-8d574e3c63354b54b7b2be37291dd3032020-11-24T20:54:10ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/317094317094Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral EquationsSaïd Abbas0Eman Alaidarous1Mouffak Benchohra2Juan J. Nieto3Laboratory of Mathematics, University of Saïda, P.O. Box 138, 20000 Saïda, AlgeriaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe give some existence results and Ulam stability results for a class of Hadamard-Stieltjes integral equations. We present two results: the first one is an existence result based on Schauder’s fixed point theorem and the second one is about the generalized Ulam-Hyers-Rassias stability.http://dx.doi.org/10.1155/2015/317094
collection DOAJ
language English
format Article
sources DOAJ
author Saïd Abbas
Eman Alaidarous
Mouffak Benchohra
Juan J. Nieto
spellingShingle Saïd Abbas
Eman Alaidarous
Mouffak Benchohra
Juan J. Nieto
Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations
Discrete Dynamics in Nature and Society
author_facet Saïd Abbas
Eman Alaidarous
Mouffak Benchohra
Juan J. Nieto
author_sort Saïd Abbas
title Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations
title_short Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations
title_full Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations
title_fullStr Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations
title_full_unstemmed Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations
title_sort existence and stability of solutions for hadamard-stieltjes fractional integral equations
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2015-01-01
description We give some existence results and Ulam stability results for a class of Hadamard-Stieltjes integral equations. We present two results: the first one is an existence result based on Schauder’s fixed point theorem and the second one is about the generalized Ulam-Hyers-Rassias stability.
url http://dx.doi.org/10.1155/2015/317094
work_keys_str_mv AT saidabbas existenceandstabilityofsolutionsforhadamardstieltjesfractionalintegralequations
AT emanalaidarous existenceandstabilityofsolutionsforhadamardstieltjesfractionalintegralequations
AT mouffakbenchohra existenceandstabilityofsolutionsforhadamardstieltjesfractionalintegralequations
AT juanjnieto existenceandstabilityofsolutionsforhadamardstieltjesfractionalintegralequations
_version_ 1716795316513013760

Similar Items