Stability of $ψ$-Hilfer Impulsive Fractional Differential Equations

J. Vanterler da C. Sousa, Kishor D. Kucche, E. Capelas de Oliveira

Published 2018-06-21Version 1

In this paper, we investigate the sufficient conditions for existence and uniqueness of solutions and {\delta}-Ulam-Hyers-Rassias stability of an impulsive fractional differential equation involving $\psi$-Hilfer fractional derivative. Fixed point approach is used to obtain our main results.