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...
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Format: | Article |
Language: | English |
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AGH Univeristy of Science and Technology Press
2013-01-01
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Series: | Opuscula Mathematica |
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Online Access: | http://www.opuscula.agh.edu.pl/vol33/2/art/opuscula_math_3313.pdf |
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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. |
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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 |