ANALYSIS OF EXISTENCE AND STABILITY RESULTS FOR FRACTIONAL IMPULSIVE ℑ-HILFER FREDHOLM-VOLTERRA MODELS

Abstract

In this paper, we investigate the suitable conditions for the existence results for a class of ℑ-Hilfer fractional nonlinear Fredholm-Volterra models with new conditions.The findings are based on Banach contraction principle and Schauder's fixed point theorem. Also, the generalized Hyers-Ulam stability and generalized Hyers-Ulam-Rassias stability for solutions of the given problem are provided.