Two sequential fractional hybrid differential inclusions

[摘要] The main objective of this paper is to concern with a new category of the sequential hybrid inclusion boundary value problem with three-point integro-derivative boundary conditions. In this direction, we employ various novel analytical techniques based on α-ψ-contractive mappings, endpoints, and the fixed points of the product operators to obtain the main results. Finally, we provide two examples to illustrate our main results.

[学科分类] 航空航天科学

[关键词] α;ψ -contraction;Endpoint;Sequential hybrid inclusion problem;The Caputo derivative