Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations-Reference-Cited by-同舟云学术

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

Published:2015 Issue: Volume:2015 Page:1-6
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Abbas Saïd¹,Alaidarous Eman²,Benchohra Mouffak²³,Nieto Juan J.²⁴

Affiliation:

1. Laboratory of Mathematics, University of Saïda, P.O. Box 138, 20000 Saïda, Algeria

2. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

3. Laboratory of Mathematics, University of Sidi Bel-Abbès, P.O. Box 89, 22000 Sidi Bel-Abbès, Algeria

4. Department of Mathematical Analysis, Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain

Abstract

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.

Funder

Ministerio de Economía y Competitividad

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2015/317094.pdf

Reference25 articles.

1. North-Holland Mathematics Studies,2006

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