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2013•Journal of BiomathematicsRequires access

Mutiple Positive Solution of Fractional Differential Equation Boundary Value Problem

Zhang Xiao-n

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Abstract

Based on the fixed-point on cone,existence and multiplicity of the positive solutions of a class of fractional differential equation boundary value problem are obtained.And then,by the Laray-Schauder nonlinear decision and Guo-Krasnosel'skii fixed-point Theorem we obtained the existence of multiple positive solutions of the boundary value problem(1) and popularized of[1]the results.

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What this paper is about

Based on the fixed-point on cone,existence and multiplicity of the positive solutions of a class of fractional differential equation boundary value problem are obtained.And then,by the Laray-Schauder nonlinear decision and Guo-Krasnosel'skii fixed-point Theorem we obtained the existence of multiple positive solutions of the boundary value problem(1) and popularized of[1]the results.

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Available abstract

Based on the fixed-point on cone,existence and multiplicity of the positive solutions of a class of fractional differential equation boundary value problem are obtained.And then,by the Laray-Schauder nonlinear decision and Guo-Krasnosel'skii fixed-point Theorem we obtained the existence of multiple positive solutions of the boundary value problem(1) and popularized of[1]the results.

Key concepts: Mathematics, Fixed-point theorem, Boundary value problem, Mathematical analysis, Multiplicity (mathematics), Nonlinear system, Schauder fixed point theorem, Fixed point

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