Existence and Stability of Solutions of Katugampola-Caputo Type Implicit Fractional Differential Equations with Impulses

Authors : M JANAKİ, K KANAGARAJAN, E M ELSAYED

Pages : 162-174

Doi:10.33401/fujma.437210

View : 18 | Download : 13

Publication Date : 2018-12-25

Article Type : Research Paper

Abstract :This paper investigates the existence and Ulam stability of solutions for impulsive nonlinear fractional implicit differential equations with finite delay via Katugampola fractional derivative in Caputo sense. Our results are based on some standard fixed point theorems. Some examples are presented to illustrate the main results.
Keywords : Existence, Fixed point, Implicit fractional differential equations, Katugampola fractional derivative, Stability