On the nonlinear impulsive Ψ–Hilfer fractional differential equations

Mathematical Modelling and Analysis

J. Vanterler da C. Sousa¹  Jyoti P. Kharade²  Kishor D. Kucche² 

[1] Department of Applied Mathematics, Imecc-Unicamp, 13083-859, Campinas, SP, Brazil;Department of Mathematics, Shivaji University, Kolhapur-416 004, Maharashtra, India;

关键词: Ψ–Hilfer fractional derivative;    fractional differential equations;    impulsive;    nonlocal;    existence and uniqueness;    fixed point theorem;   

DOI  :  10.3846/mma.2020.11445

来源: DOAJ

【 摘 要 】

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

【 授权许可】

Unknown