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...

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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
Materias:
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
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000100002
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Sumario: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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