2012Journal of Heilongjiang Institute of Science and TechnologyRequires access

Solutions for nonlinear fractional order 3-point boundary value problem

Xin Li

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Abstract

This paper is concerned with the study on the existence and uniqueness of solutions to nonlinear three-point boundary problems for a fractional differential equation.The study starts with Green's function and its properties,followed by the existence and uniqueness of solutions obtained by means of Schauder fixed point theorem and contraction mapping principle.The study concludes with two examples to illustrate the results.

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What this paper is about

This paper is concerned with the study on the existence and uniqueness of solutions to nonlinear three-point boundary problems for a fractional differential equation.The study starts with Green's function and its properties,followed by the existence and uniqueness of solutions obtained by means of Schauder fixed point theorem and contraction mapping principle.The study concludes with two examples to illustrate the results.

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Available abstract

This paper is concerned with the study on the existence and uniqueness of solutions to nonlinear three-point boundary problems for a fractional differential equation.The study starts with Green's function and its properties,followed by the existence and uniqueness of solutions obtained by means of Schauder fixed point theorem and contraction mapping principle.The study concludes with two examples to illustrate the results.

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

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