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Ulam‐Hyers stability of Caputo fractional difference equations
Authors:Churong Chen  Martin Bohner  Baoguo Jia
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.
Keywords:Caputo operator  nabla difference equation  Ulam‐Hyers stability
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