Impulsive boundary value problems for nonlinear implicit Caputo-exponential type fractional differential equations

Electronic Journal of Qualitative Theory of Differential Equations

Ahmed Malti¹  Mouffak Benchohra¹  Jamal-Eddine Lazreg¹  John Graef² 

[1] Laboratory of Mathematics, University of Sidi Bel-Abbès, Sidi Bel-Abbès, Algeria;University of Tennessee at Chattanooga, Chattanooga, TN, U.S.A.;

关键词: boundary value problem;    caputo-exponential fractional derivative;    implicit fractional differential equations;    existence;    fixed point;    impulses;   

DOI  :  10.14232/ejqtde.2020.1.78

来源: DOAJ

【 摘 要 】

This paper deals with existence and uniqueness of solutions to a class of impulsive boundary value problem for nonlinear implicit fractional differential equations involving the Caputo-exponential fractional derivative. The existence results are based on Schaefer's fixed point theorem and the uniqueness result is established via Banach's contraction principle. Two examples are given to illustrate the main results.

【 授权许可】

Unknown