Existence and uniqueness criteria for the higher-order Hilfer fractional boundary value problems at resonance

Advances in Difference Equations

article

Gholami, Yousef¹ 

[1] Department of Applied Mathematics, Sahand University of Technology

关键词: Hilfer fractional boundary value problems;    Resonance;    Coupled systems;    Coincidence degree theory;    Existence;    Uniqueness;   

DOI  :  10.1186/s13662-020-02941-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This investigation is devoted to the study of a certain class of coupled systems of higher-order Hilfer fractional boundary value problems at resonance. Combining the coincidence degree theory with the Lipschitz-type continuity conditions on nonlinearities, we present some existence and uniqueness criteria. Finally, to practically implement the obtained theoretical criteria, we give an illustrative application.

【 授权许可】

CC BY