Ulam‐Hyers stability of Caputo fractional difference equations
Copyright policy )Ulam‐Hyers stability of Caputo fractional difference equations
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.
- Sun Yat-sen University China (People's Republic of)
- Missouri University of Science and Technology United States
Fractional derivatives and integrals, Difference equations, scaling (\(q\)-differences), Caputo operator, Discrete version of topics in analysis, Difference operators, nabla difference equation, Ulam-Hyers stability
Fractional derivatives and integrals, Difference equations, scaling (\(q\)-differences), Caputo operator, Discrete version of topics in analysis, Difference operators, nabla difference equation, Ulam-Hyers stability
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