Boundary Value Problem for ψ-Caputo Fractional Differential Equations in Banach Spaces via Densifiability Techniques

Mathematics

Yong Zhou¹  Choukri Derbazi²  Zidane Baitiche²  Mouffak Benchohra³ 

[1] Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China;Laboratoire Equations Différentielles, Department of Mathematics, Faculty of Exact Sciences, Frères Mentouri University Constantine 1, P.O. Box 325, Ain El Bey Way, Constantine 25017, Algeria;Laboratory of Mathematics, Djillali Liabes University, Sidi-Bel-Abbes 22000, Algeria;

关键词: fractional differential equations;    ψ-Caputo fractional derivative;    existence;    fixed point;    degree of nondensifiability;    Banach spaces;   

DOI  :  10.3390/math10010153

来源: DOAJ

【 摘 要 】

A novel fixed-point theorem based on the degree of nondensifiability (DND) is used in this article to examine the existence of solutions to a boundary value problem containing the $\psi$-Caputo fractional derivative in Banach spaces. Besides that, an example is included to verify our main results. Moreover, the outcomes obtained in this research paper ameliorate and expand some previous findings in this area.

【 授权许可】

Unknown