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

Malti Ahmed Ilyes N. and Benchohra Mouffak and Graef John R. and Lazreg Jamal Eddine: Impulsive boundary value problems for nonlinear implicit Caputo-exponential type fractional differential equations. (2020)

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Abstract

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.

Item Type: Journal
Other title: Honoring the career of Jeffrey R. L. Webb on the occasion of his seventy-fifth birthday
Publication full: Electronic journal of qualitative theory of differential equations : special edition
Date: 2020
Volume: 4
Number: 78
ISSN: 1417-3875
Number of Pages: 17
Language: English
DOI: 10.14232/ejqtde.2020.1.78
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 14-17. ; összefoglalás angol nyelven
Date Deposited: 2021. Nov. 12. 11:15
Last Modified: 2021. Nov. 12. 11:15
URI: http://acta.bibl.u-szeged.hu/id/eprint/73768

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