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

Authors : S HARİKRİSHNAN, Rabha IBRAHİM, K KANAGARAJAN

Pages : 106-112

Doi:10.32323/ujma.419363

View : 17 | Download : 17

Publication Date : 2018-06-26

Article Type : Research Paper

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