Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations

Advances in Difference Equations

article

Salim, Abdelkrim¹  Benchohra, Mouffak¹  Karapınar, Erdal²  Lazreg, Jamal Eddine¹ 

[1] Laboratory of Mathematics, Djillali Liabes University of Sidi Bel Abbes;Division of Applied Mathematics, Thu Dau Mot University;Department of Mathematics, Cankaya University;Department of Medical Research, China Medical University Hospital, China Medical University

关键词: Boundary value problem;    Generalized Hilfer fractional derivative;    Fractional integral;    Impulses;    Fixed point;    Measure of noncompactness;    Implicit fractional differential equations;    Ulam–Hyers–Rassias stability;   

DOI  :  10.1186/s13662-020-03063-4

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this manuscript, we examine the existence and the Ulam stability of solutions for a class of boundary value problems for nonlinear implicit fractional differential equations with instantaneous impulses in Banach spaces. The results are based on fixed point theorems of Darbo and Mönch associated with the technique of measure of noncompactness. We provide some examples to indicate the applicability of our results.

【 授权许可】

CC BY