2015Journal of Shandong UniversityRequires access

Existence and uniqueness of solutions for nonlinear fractional four-point boundary value problems

Qián Chen

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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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What this paper is about

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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Available 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.

Key concepts: Uniqueness, Mathematics, Fixed-point theorem, Boundary value problem, Contraction mapping, Contraction principle, Nonlinear system, Mathematical analysis

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