Stability of $\psi$-Hilfer Impulsive Fractional Differential Equations

Abstract

In this paper, we investigate the sufficient conditions for existence and uniqueness of solutions and δ-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.

9 pages

Cited by in corpus (7)

• On the Nonlinear $\Psi$-Hilfer Hybrid Fractional Differential Equations
• On the Nonlinear $\Psi$-Hilfer Fractional Differential Equations
• Nonlocal Boundary Value Problem for Generalized Hilfer Implicit Fractional Differential Equations
• On the Impulsive Implicit $\Psi$--Hilfer Fractional Differential Equations with Delay
• On the Ulam-Hyers stabilities of Ψ-Hilfer fractional differential equation by means of abstract Volterra operator
• On the Nonlinear Impulsive $\Psi$--Hilfer Fractional Differential Equations
• Analysis of Impulsive $\phi$--Hilfer Fractional Differential Equations