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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Lenguaje: | English |
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2017
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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 |