Existence of solutions for Caputo fractional delay differential equations with nonlocal and integral boundary conditions

[摘要] In this paper, the existence and uniqueness of the solutions of Caputo fractional delay differential equations under nonlocal and integral boundary value conditions are studied. By using the Banach contraction principle and the Burton and Kirk fixed-point theorem, some new conclusions about the existence and uniqueness of solutions are obtained. An example is given to illustrate the main results.

[发布日期] 2022-12-29

[关键词] Fractional delay differential equation;Existence and uniqueness of solutions;Boundary value problem