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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Autores principales: Abbas,Saïd, Benchohra,Mouffak, Lazreg,Jamal-Eddine, N’Guérékata,Gaston M
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2017
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Acceso en línea: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
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