Solutions for a category of singular nonlinear fractional differential equations subject to integral boundary conditions

• Published in: Boundary value problems Vol. 2022; no. 1; pp. 1 - 16
• Main Author: Yan, Debao
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 14.01.2022; Hindawi Limited; SpringerOpen
• Subjects: Analysis; Approximations and Expansions; Boundary conditions; Boundary value problems; Difference and Functional Equations; Differential equations; Existence theorems; Fixed point theorem; Fixed points (mathematics); Fractional differential equation; Integral boundary condition; Mathematical analysis; Mathematics; Mathematics and Statistics; Ordinary Differential Equations; Partial Differential Equations; Singular boundary value problem; Fractional differential equation; 34B16; Fixed point theorem; Singular boundary value problem; Integral boundary condition; 34B10; 34A08

We concentrate on a category of singular boundary value problems of fractional differential equations with integral boundary conditions, in which the nonlinear function f is singular at t = 0 , 1. We use Banach’s fixed-point theorem and Hölder’s inequality to verify the existence and uniqueness of a...