Journal
BOUNDARY VALUE PROBLEMS
Volume 2022, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1186/s13661-022-01585-2
Keywords
Singular boundary value problem; Fractional differential equation; Integral boundary condition; Fixed point theorem
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This paper focuses on singular boundary value problems of fractional differential equations with integral boundary conditions. The existence and uniqueness of a solution are verified using Banach's fixed-point theorem and Holder's inequality. Moreover, the existence of solutions is also proven by Krasnoselskii's and Schaefer's fixed point theorems.
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 Holder's inequality to verify the existence and uniqueness of a solution. Moreover, also we prove the existence of solutions by Krasnoselskii's and Schaefer's fixed point theorems.
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