一类具有积分边界条件的非线性分数阶微分方程解的存在性

World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering Pub Date : 2011-01-20 DOI:10.5281/ZENODO.1085182

Meng Hu, Lili Wang

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引用次数: 11

摘要

本文研究了一类非线性分数阶微分方程，其积分边界条件为:Dαt x(t) = f(t, x(t)，Dβ t x(t))， t∈(0,1)，x(0) = 0, x(1) = 10g (s)x(s)ds，其中1 < α≤2,0 < β < 1。我们的结果是基于Schauder不动点定理和Banach收缩原理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence Of Solutions For A Nonlinear Fractional Differential Equation With Integral Boundary Condition

This paper deals with a nonlinear fractional differential equation with integral boundary condition of the following form: Dαt x(t) = f(t, x(t),Dβ t x(t)), t ∈ (0, 1), x(0) = 0, x(1) = 1 0 g(s)x(s)ds, where 1 < α ≤ 2, 0 < β < 1. Our results are based on the Schauder fixed point theorem and the Banach contraction principle.

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World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering

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