A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation-Reference-Cited by-同舟云学术

A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation

Published:2016-01-01 Issue:1 Volume:14 Page:237-246
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Eghbali Nasrin¹,Kalvandi Vida¹,Rassias John M.²

Affiliation:

1. 1Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, 56199-11367, Ardabil, Iran (Islamic Republic of), eghbali@uma.ac.ir

2. 2Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4 Agamemnonos Str., Aghia Paraskevi, Athens 15342, Greece, Ioannis.Rassias@primedu.uoa.gr

Abstract

AbstractIn this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with respect to the Chebyshev and Bielecki norms by two notions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2016-0019/pdf

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