Stability results for partial fractional differential equations with noninstantaneous impulses

Advances in Difference Equations

Sad Abbas¹  Yong Zhou²  Ahmed Alsaedi⁴  Mouffak Benchohra⁵ 

[1] Laboratory of Mathematics, University of SaïLaboratory of Mathematics, University of Sidi Bel-Abbes, Sidi Bel-AbbèNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;da, Algeria;da, Saïs, Algeria

关键词: fractional differential equation;    Riemann-Liouville integral;    Caputo derivative;    Darboux problem;    noninstantaneous impulses;    Ulam-Hyers-Rassias stability;    26A33;    34K37;    34K45;   

DOI  :  10.1186/s13662-017-1110-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we investigate some uniqueness and Ulam’s type stability concepts for the Darboux problem of partial functional differential equations with noninstantaneous impulses and delay in Banach spaces. The main techniques rely on fractional calculus, integral equations and inequalities. Two examples are also provided to illustrate our results.

【 授权许可】

CC BY