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
Description
Summary: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.
ISSN:1026-0226
1607-887X