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Journal of Mathematics and Applications

Journal of Mathematics and Applications
04/41, DOI: 10.7862/rf.2018.4

Nonlinear Fractional Differential Equations with Non-Instantaneous Impulses in Banach Spaces

Mouffak Benchohra, Mehdi Slimane

DOI: 10.7862/rf.2018.4

Abstract

This paper is devoted to study the existence of solutions for a class of initial value problems for non-instantaneous impulsive fractional differential equations involving the Caputo fractional derivative in a Banach space. The arguments are based upon Mönch's fixed point theorem and the technique of measures of noncompactness.

Full text (pdf)

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About this Article

TITLE:
Nonlinear Fractional Differential Equations with Non-Instantaneous Impulses in Banach Spaces

AUTHORS:
Mouffak Benchohra (1)
Mehdi Slimane (2)

AUTHORS AFFILIATIONS:
(1) Laboratory of Mathematics, Djillali Liabes University of Sidi-Bel-Abbès, ALGERIA
(2) Laboratory of Mathematics, Djillali Liabes University of Sidi-Bel-Abbès, ALGERIA

JOURNAL:
Journal of Mathematics and Applications
04/41

KEY WORDS AND PHRASES:
Initial value problem; Impulses; Caputo fractional derivative; Measure of noncompactness; Fixed point; Banach space

FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/jma/67

DOI:
10.7862/rf.2018.4

URL:
http://dx.doi.org/10.7862/rf.2018.4

RECEIVED:
2017-12-28

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