On the Nonlinear Impulsive $\Psi$--Hilfer Fractional Differential Equations

Abstract

In this paper, we consider the nonlinear $\Psi$-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of results. The acquired results are extended to the nonlocal $\Psi$-Hilfer impulsive fractional differential equation. We gave an applications to the outcomes we procured. Further, examples are provided in support of the results we got.

arXiv comment22

References in corpus (4)

• Stability of $\psi$-Hilfer Impulsive Fractional Differential Equations
• On the Nonlinear $\Psi$-Hilfer Fractional Differential Equations
• A simple mathematical model inspired by the Purkinje cells: from delayed travelling waves to fractional diffusion
• On the fractional functional differential equation with abstract Volterra operator

Cited by in corpus (1)

• Analysis of Impulsive $\phi$--Hilfer Fractional Differential Equations