Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type

Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type

Abstract This article deals with some existence and Ulam-Hyers-Rassias stability results for a class of functional differential equations involving the Hilfer-Hadamard fractional derivative. An application is made of a Schauder fixed point theorem for the existence of solutions. Next we prove that o...

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Bibliographic Details
Main Authors: S Abbas, M Benchohra, JE Lagreg, A Alsaedi, Y Zhou
Format: Article
Language:English
Published: SpringerOpen 2017-06-01
Series:Advances in Difference Equations
Subjects:
functional differential equation
left-sided mixed Hadamard fractional integral
Hilfer-Hadamard fractional derivative
existence
Ulam-Hyers-Rassias stability
Online Access:http://link.springer.com/article/10.1186/s13662-017-1231-1

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http://link.springer.com/article/10.1186/s13662-017-1231-1

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