Title

Ulam-Hyers Stability of Caputo Fractional Difference Equations

Abstract

We study the Ulam-Hyers stability of linear and nonlinear nabla fractional Caputo difference equations on finite intervals. Our main tool used is a recently established generalized Gronwall inequality, which allows us to give some Ulam-Hyers stability results of discrete fractional Caputo equations. We present two examples to illustrate our main results.

Department(s)

Mathematics and Statistics

Comments

Article in press

Keywords and Phrases

Caputo operator; nabla difference equation; Ulam-Hyers stability

International Standard Serial Number (ISSN)

0170-4214; 1099-1476

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2019 John Wiley & Sons Ltd, All rights reserved.

Publication Date

01 Dec 2019

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