Hilfer and Hadamard Functional Random Fractional Differential Inclusions

This paper deals with some existence and Ulam stability results for some functional differential inclusions of Hilfer and Hilfer-Hadamard type with convex and non-convex right hand side. We employ some multi-valued random fixed point theorems for the existence of random solutions. Next we prove that...

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Auteurs principaux:	Abbas,Saïd, Benchohra,Mouffak, Lazreg,Jamal-Eddine, N’Guérékata,Gaston M
Langue:	English
Publié:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2017
Sujets:	Functional Random differential inclusion left-sided Riemann-Liouville integral of fractional order left-sided Hadamard integral of fractional order Hilfer fractional derivative convex non-convex Hilfer-Hadamard fractional derivative existence Ulam stability random solution fixed point
Accès en ligne:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000100002
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spelling	oai:scielo:S0719-064620170001000022018-10-08Hilfer and Hadamard Functional Random Fractional Differential InclusionsAbbas,SaïdBenchohra,MouffakLazreg,Jamal-EddineN’Guérékata,Gaston M Functional Random differential inclusion left-sided Riemann-Liouville integral of fractional order left-sided Hadamard integral of fractional order Hilfer fractional derivative convex non-convex Hilfer-Hadamard fractional derivative existence Ulam stability random solution fixed point This paper deals with some existence and Ulam stability results for some functional differential inclusions of Hilfer and Hilfer-Hadamard type with convex and non-convex right hand side. We employ some multi-valued random fixed point theorems for the existence of random solutions. Next we prove that our problems are generalized Ulam- Hyers-Rassias stable.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.19 n.1 20172017-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000100002en10.4067/S0719-06462017000100002
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Functional Random differential inclusion left-sided Riemann-Liouville integral of fractional order left-sided Hadamard integral of fractional order Hilfer fractional derivative convex non-convex Hilfer-Hadamard fractional derivative existence Ulam stability random solution fixed point
spellingShingle	Functional Random differential inclusion left-sided Riemann-Liouville integral of fractional order left-sided Hadamard integral of fractional order Hilfer fractional derivative convex non-convex Hilfer-Hadamard fractional derivative existence Ulam stability random solution fixed point Abbas,Saïd Benchohra,Mouffak Lazreg,Jamal-Eddine N’Guérékata,Gaston M Hilfer and Hadamard Functional Random Fractional Differential Inclusions
description	This paper deals with some existence and Ulam stability results for some functional differential inclusions of Hilfer and Hilfer-Hadamard type with convex and non-convex right hand side. We employ some multi-valued random fixed point theorems for the existence of random solutions. Next we prove that our problems are generalized Ulam- Hyers-Rassias stable.
author	Abbas,Saïd Benchohra,Mouffak Lazreg,Jamal-Eddine N’Guérékata,Gaston M
author_facet	Abbas,Saïd Benchohra,Mouffak Lazreg,Jamal-Eddine N’Guérékata,Gaston M
author_sort	Abbas,Saïd
title	Hilfer and Hadamard Functional Random Fractional Differential Inclusions
title_short	Hilfer and Hadamard Functional Random Fractional Differential Inclusions
title_full	Hilfer and Hadamard Functional Random Fractional Differential Inclusions
title_fullStr	Hilfer and Hadamard Functional Random Fractional Differential Inclusions
title_full_unstemmed	Hilfer and Hadamard Functional Random Fractional Differential Inclusions
title_sort	hilfer and hadamard functional random fractional differential inclusions
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2017
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000100002
work_keys_str_mv	AT abbassaid hilferandhadamardfunctionalrandomfractionaldifferentialinclusions AT benchohramouffak hilferandhadamardfunctionalrandomfractionaldifferentialinclusions AT lazregjamaleddine hilferandhadamardfunctionalrandomfractionaldifferentialinclusions AT n8217guerekatagastonm hilferandhadamardfunctionalrandomfractionaldifferentialinclusions
_version_	1714206795771150336

Hilfer and Hadamard Functional Random Fractional Differential Inclusions

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