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Journal of Mathematics and Applications

Journal of Mathematics and Applications
03/42, DOI: 10.7862/rf.2019.3

Existence and Uniqueness of Solutions for Nonlinear Katugampola Fractional Differential Equations

Bilal Basti, Yacine Arioua, Nouredine Benhamidouche

DOI: 10.7862/rf.2019.3

Abstract

The present paper deals with the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional differential equations with Katugampola fractional derivative. The main results are proved by means of Guo-Krasnosel'skii and Banach fixed point theorems. For applications purposes, some examples are provided to demonstrate the usefulness of our main results.

Full text (pdf)

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About this Article

TITLE:
Existence and Uniqueness of Solutions for Nonlinear Katugampola Fractional Differential Equations

AUTHORS:
Bilal Basti (1)
Yacine Arioua (2)
Nouredine Benhamidouche (3)

AUTHORS AFFILIATIONS:
(1) Laboratory for Pure and Applied Mathematics, University of M'sila, ALGERIA
(2) Laboratory for Pure and Applied Mathematics, University of M'sila, ALGERIA
(3) Laboratory for Pure and Applied Mathematics, University of M'sila, ALGERIA

JOURNAL:
Journal of Mathematics and Applications
03/42

KEY WORDS AND PHRASES:
Fractional equation; Fixed point theorems; Boundary value problem; Existence; Uniqueness.

FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/jma/80

DOI:
10.7862/rf.2019.3

URL:
http://dx.doi.org/10.7862/rf.2019.3

RECEIVED:
2018-08-03

ACCEPTED:
2018-12-29

COPYRIGHT:
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