Fractional Ulam-stability of fractional impulsive differential equation involving Hilfer-Katugampola fractional differential operator

Authors : S. Harikrishnan, Rabha Ibrahim, K. Kanagarajan

Pages : 106-112

Doi:10.32323/ujma.419363

View : 19 | Download : 29

Publication Date : 2018-06-26

Article Type : Research

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