Existence and stability results for a class of nonlinear fractional q-integro-differential equation

This paper deals with the stability results for the solution of a fractional q--integro-differential problem with integral conditions. Using Krasnoselskii's, and Banach's fixed point theorems, we prove the existence and uniqueness of results. Based on the results obtained, conditions are provided that ensure the generalized Ulam stability of the original system on a time scale. The results are illustrated by the examples under the numerical technique.

کلیدواژه ها:

q-integro-differential problem ، Krasnoselskii's theorem ، stability