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ANTI-PERIODIC BOUNDARY VALUE PROBLEM FOR NONLINEAR IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSES.

Authors :
ALBARAKATI, WAFAA
BENCHOHRA, MOUFFAK
LAZREG, JAMAL E.
NIETO, JUAN J.
Source :
Annals of Oradea University - Mathematics Fascicola; 2018, Vol. 25 Issue 1, p13-24, 12p
Publication Year :
2018

Abstract

In this paper, we establish the existence and uniqueness of solutions for a class of anti-periodic boundary value problem for nonlinear implicit fractional differential equations with impulse and Caputo fractional derivative. The arguments are based upon the Banach contraction principle, and Schaefer's fixed point theorem. An example is included to show the applicability of our results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
12211265
Volume :
25
Issue :
1
Database :
Complementary Index
Journal :
Annals of Oradea University - Mathematics Fascicola
Publication Type :
Academic Journal
Accession number :
136082594