Fractional Ulam-stability of fractional impulsive differential equation involving Hilfer-Katugampola fractional differential operator
Abstract
In this note, we set up existence, uniqueness as well as the stability of a special class of fractional differential equation (FDE) with Hilfer-Katugampola fractional differential operator (HKFDO). The outcomes are given by employing the Schaefer's fixed point theorem and Banach contraction principle. Moreover, we modify the fractional Ulam stability (FUS) concept utilizing HKFDO.
Keywords
Fractional calculus,fractional differential equations,fractional differential operator
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