Fractional Order Differential Inclusions via the Topological Transversality Method

The aim of this paper is to present new results on the existence of solutions for a class of boundary value problem for differential inclusions involving the Caputo fractional derivative. Our approach is based on the topological transversality method.

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Autores principales: Benchohra,Mouffak, Hamidi,Naima
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2011
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200008
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spelling oai:scielo:S0719-064620110002000082018-10-08Fractional Order Differential Inclusions via the Topological Transversality MethodBenchohra,MouffakHamidi,Naima Fractional differential inclusions fixed point Caputo fractional derivative existence topological transversality theorem The aim of this paper is to present new results on the existence of solutions for a class of boundary value problem for differential inclusions involving the Caputo fractional derivative. Our approach is based on the topological transversality method.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.13 n.2 20112011-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200008en10.4067/S0719-06462011000200008
institution Scielo Chile
collection Scielo Chile
language English
topic Fractional differential inclusions
fixed point
Caputo fractional derivative
existence
topological transversality theorem
spellingShingle Fractional differential inclusions
fixed point
Caputo fractional derivative
existence
topological transversality theorem
Benchohra,Mouffak
Hamidi,Naima
Fractional Order Differential Inclusions via the Topological Transversality Method
description The aim of this paper is to present new results on the existence of solutions for a class of boundary value problem for differential inclusions involving the Caputo fractional derivative. Our approach is based on the topological transversality method.
author Benchohra,Mouffak
Hamidi,Naima
author_facet Benchohra,Mouffak
Hamidi,Naima
author_sort Benchohra,Mouffak
title Fractional Order Differential Inclusions via the Topological Transversality Method
title_short Fractional Order Differential Inclusions via the Topological Transversality Method
title_full Fractional Order Differential Inclusions via the Topological Transversality Method
title_fullStr Fractional Order Differential Inclusions via the Topological Transversality Method
title_full_unstemmed Fractional Order Differential Inclusions via the Topological Transversality Method
title_sort fractional order differential inclusions via the topological transversality method
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2011
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200008
work_keys_str_mv AT benchohramouffak fractionalorderdifferentialinclusionsviathetopologicaltransversalitymethod
AT hamidinaima fractionalorderdifferentialinclusionsviathetopologicaltransversalitymethod
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