Ulam Stabilities for the Darboux Problem for Partial Fractional Differential Inclusions

Demonstratio mathematica

article

Saïd Abbas¹  Mouffak Benchohra¹ 

[1] ALGÉRIE DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE KING ABDULAZIZ UNIVERSITY

关键词: and phrases fractional differential inclusion;    left-sided mixed Riemann- Liouville integral;    Caputo fractional order derivative;    Darboux problem;    nonconvex;    Ulam stability;   

DOI  :  10.2478/dema-2014-0066

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY