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Ulam‐Hyers stability of Caputo fractional difference equations
Author(s) -
Chen Churong,
Bohner Martin,
Jia Baoguo
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5869
Subject(s) - mathematics , nabla symbol , stability (learning theory) , nonlinear system , gronwall's inequality , mathematical analysis , inequality , physics , quantum mechanics , machine learning , computer science , omega
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.