Hilfer and Hadamard Functional Random Fractional Differential Inclusions

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 our problems are generalized Ulam- Hyers-Rassias stable.

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Main Authors: Abbas,Saïd, Benchohra,Mouffak, Lazreg,Jamal-Eddine, N’Guérékata,Gaston M
Format: Digital revista
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2017
Online Access: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
collection OJS
country Chile
countrycode CL
component Revista
access En linea
databasecode rev-scielo-cl
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Abbas,Saïd
Benchohra,Mouffak
Lazreg,Jamal-Eddine
N’Guérékata,Gaston M
spellingShingle Abbas,Saïd
Benchohra,Mouffak
Lazreg,Jamal-Eddine
N’Guérékata,Gaston M
Hilfer and Hadamard Functional Random Fractional Differential Inclusions
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
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.
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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