Ulam stability of Caputo q-fractional delay difference equation: q-fractional Gronwall inequality approach-Reference-Cited by-同舟云学术

Ulam stability of Caputo q-fractional delay difference equation: q-fractional Gronwall inequality approach

Published:2019-11-29 Issue:1 Volume:2019 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Butt Rabia Ilyas,Abdeljawad Thabet^ORCID,Alqudah Manar A.,Rehman Mujeeb ur

Abstract

AbstractIn this article, we discuss the existence and uniqueness of solution of a delay Caputo q-fractional difference system. Based on the q-fractional Gronwall inequality, we analyze the Ulam–Hyers stability and the Ulam–Hyers–Rassias stability. An example is provided to support the theoretical results.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13660-019-2257-6.pdf

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