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

Meng Hu, Lili Wang
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引用次数: 11

Abstract

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.
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
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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