Ulam Stabilities for the Darboux Problem for Partial Fractional Differential Inclusions

Ulam Stabilities for the Darboux Problem for Partial Fractional Differential Inclusions

In this article, we investigate some Ulam’s type stability concepts for the Darboux problem of partial fractional differential inclusions with a nonconvex valued right hand side. Our results are based upon Covitz-Nadler fixed point theorem and fractional version of Gronwall’s inequality.

Bibliographic Details
Main Authors: Abbas Saïd, Benchohra Mouffak
Format: Article
Language:English
Published: De Gruyter 2014-12-01
Series:Demonstratio Mathematica
Subjects:
and phrases fractional differential inclusion
left-sided mixed Riemann- Liouville integral
Caputo fractional order derivative
Darboux problem
nonconvex
Ulam stability
Online Access:http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0066/dema-2014-0066.xml?format=INT

Internet

http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0066/dema-2014-0066.xml?format=INT

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