Existence and uniqueness of solutions for nonlinear fractional four-point boundary value problems
Qián Chen
Abstract
Qián Chen
Abstract
This paper investigates existence and uniqueness of solutions for a type of four-point boundary value problems with fractional order differential equation. By using the Schauder fixed point theorem and the Banach contraction principle,we obtain the sufficient conditions of the existence and uniqueness of solutions for the nonlinear fractional four-point boundary value problems.
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This paper investigates existence and uniqueness of solutions for a type of four-point boundary value problems with fractional order differential equation. By using the Schauder fixed point theorem and the Banach contraction principle,we obtain the sufficient conditions of the existence and uniqueness of solutions for the nonlinear fractional four-point boundary value problems.
Key concepts: Uniqueness, Mathematics, Fixed-point theorem, Boundary value problem, Contraction mapping, Contraction principle, Nonlinear system, Mathematical analysis