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

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 unique...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Malti Ahmed Ilyes N.
Benchohra Mouffak
Graef John R.
Lazreg Jamal Eddine
Dokumentumtípus: Folyóirat
Megjelent: 2020
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet
doi:10.14232/ejqtde.2020.1.78

Online Access:http://acta.bibl.u-szeged.hu/73639
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520 3 |a 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. 
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