Some new results for nonlinear fractional $h$-difference systems with “maxima”

Abstract

We investigate the uniqueness and boundedness of solutions and finite-time stability for nonlinear fractional $h$-difference systems with “maxima” using the generalized fractional $h$-Gronwall inequality. We give explicit bounds on solutions for this fractional $h$-difference system with “maxima”. Finally, an example is given to illustrate one of our main results.