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.
Recommended Citation
C. Chen et al., "Ulam-Hyers Stability of Caputo Fractional Difference Equations," Mathematical Methods in the Applied Sciences, vol. 42, no. 18, pp. 7461 - 7470, John Wiley & Sons Ltd, Dec 2019.
The definitive version is available at https://doi.org/10.1002/mma.5869
Department(s)
Mathematics and Statistics
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
