Existence and Ulam stability for implicit fractional q-difference equations

Advances in Difference Equations

卷:2019

Saïd Abbas¹  Yong Zhou²  Mouffak Benchohra³  Nadjet Laledj³ 

[1] Department of Mathematics, Tahar Moulay University of Saïda;

[2] Faculty of Information Technology, Macau University of Science and Technology;

[3] Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès;

关键词: Fractional q-difference equation;    Implicit;    Ulam–Hyers–Rassias stability;    Fixed point;   

DOI  :  10.1186/s13662-019-2411-y

来源: DOAJ

【 摘 要 】

Abstract This paper deals with some existence, uniqueness and Ulam–Hyers–Rassias stability results for a class of implicit fractional q-difference equations. Some applications are made of some fixed point theorems in Banach spaces for the existence and uniqueness of solutions, next we prove that our problem is generalized Ulam–Hyers–Rassias stable. Two illustrative examples are given in the last section.

【 授权许可】

Unknown