偏序度量空间上压缩映像不动点定理在分数阶微分

Abstract

Abstract:

We gave an existence and uniqueness for the solution of a nonlinear fractional differential equation boundary value problem D^α₀₊u(t)=f(t,u(t)),0α₀₊ is the standard RiemannLiouville differentiation. Our result relies on a fixed point theorem for generalized contraction in partially ordered complete metric spaces.

Key words: fractional differential equation, boundary value problem, positive solution, partially ordered metric spaces, fixedpoint theorem

CLC Number:

O175.08

SHANG Yu, HU Xiao-Jie, DIAO Gong. Applications of a Fixed Point Theorem for Generalized Contraction in Partially Ordered Complete Metric Spaces toBoundary Value Problem of Fractional Differential Equations[J].J4, 2013, 51(03): 423-426.

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Applications of a Fixed Point Theorem for Generalized Contraction in Partially Ordered Complete Metric Spaces toBoundary Value Problem of Fractional Differential Equations

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