Ulam‐Hyers stability of Caputo fractional difference equations

By Churong Chen, Martin J. Bohner, Baoguo Jia. Mathematical methods in the applied sciences, 2019

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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.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/3e0b88f33b8b46633c0b08939f561f4bdb2ccfc8