Fractional order Riemann-Liouville integral inclusions with two independent variables and multiple delay

In the present paper we investigate the existence of solutions for a system of integral inclusions of fractional order with multiple delay. Our results are obtained upon suitable fixed point theorems, namely the Bohnenblust-Karlin fixed point theorem for the convex case and the Covitz-Nadler for the...

Full description

Bibliographic Details
Main Authors: Saïd Abbas, Mouffak Benchohra
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2013-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol33/2/art/opuscula_math_3313.pdf
_version_ 1818673029233770496
author Saïd Abbas
Mouffak Benchohra
author_facet Saïd Abbas
Mouffak Benchohra
author_sort Saïd Abbas
collection DOAJ
description In the present paper we investigate the existence of solutions for a system of integral inclusions of fractional order with multiple delay. Our results are obtained upon suitable fixed point theorems, namely the Bohnenblust-Karlin fixed point theorem for the convex case and the Covitz-Nadler for the nonconvex case.
first_indexed 2024-12-17T07:49:17Z
format Article
id doaj.art-a258ccbfe4ee49c6b4e89906c24174aa
institution Directory Open Access Journal
issn 1232-9274
language English
last_indexed 2024-12-17T07:49:17Z
publishDate 2013-01-01
publisher AGH Univeristy of Science and Technology Press
record_format Article
series Opuscula Mathematica
spelling doaj.art-a258ccbfe4ee49c6b4e89906c24174aa2022-12-21T21:57:54ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742013-01-01332209222http://dx.doi.org/10.7494/OpMath.2013.33.2.2093313Fractional order Riemann-Liouville integral inclusions with two independent variables and multiple delaySaïd Abbas0Mouffak Benchohra1Université de Saïda, Laboratoire de Mathématiques, B.P. 138, 20000, Saïda, AlgeriaUniversité de Sidi Bel-Abbès, Laboratoire de Mathématiques, B.P. 89, 22000, Sidi Bel-Abbès, AlgeriaIn the present paper we investigate the existence of solutions for a system of integral inclusions of fractional order with multiple delay. Our results are obtained upon suitable fixed point theorems, namely the Bohnenblust-Karlin fixed point theorem for the convex case and the Covitz-Nadler for the nonconvex case.http://www.opuscula.agh.edu.pl/vol33/2/art/opuscula_math_3313.pdfintegral inclusionleft-sided mixed Riemann-Liouville integraltime delay solutionfixed point
spellingShingle Saïd Abbas
Mouffak Benchohra
Fractional order Riemann-Liouville integral inclusions with two independent variables and multiple delay
Opuscula Mathematica
integral inclusion
left-sided mixed Riemann-Liouville integral
time delay solution
fixed point
title Fractional order Riemann-Liouville integral inclusions with two independent variables and multiple delay
title_full Fractional order Riemann-Liouville integral inclusions with two independent variables and multiple delay
title_fullStr Fractional order Riemann-Liouville integral inclusions with two independent variables and multiple delay
title_full_unstemmed Fractional order Riemann-Liouville integral inclusions with two independent variables and multiple delay
title_short Fractional order Riemann-Liouville integral inclusions with two independent variables and multiple delay
title_sort fractional order riemann liouville integral inclusions with two independent variables and multiple delay
topic integral inclusion
left-sided mixed Riemann-Liouville integral
time delay solution
fixed point
url http://www.opuscula.agh.edu.pl/vol33/2/art/opuscula_math_3313.pdf
work_keys_str_mv AT saidabbas fractionalorderriemannliouvilleintegralinclusionswithtwoindependentvariablesandmultipledelay
AT mouffakbenchohra fractionalorderriemannliouvilleintegralinclusionswithtwoindependentvariablesandmultipledelay