打靶法在分数阶微分方程边值问题中的一些应用
Some Applications of Shooting Method in Boundary Value Problem of Fractional Differential Equation
摘要: 本文利用打靶法研究了一类分数阶非线性微分方程边值问题的可解性。其中f:[0,1]×R2→R连续，1 <α ≤2，0 <θ≤α-1，0Dtαy(t)表示标准的Riemann-Liouvile型导数。当f:[0,1]×R2→R在假设下，满足初始条件的解的唯一性和全局存在性时，则相应的边值问题也至少存在一个解。
Abstract: In this paper, we use the shooting method to study the solvability of boundary value problem for fractional differential equation. where f:[0,1]×R2→R is continuous,1 <α ≤2，0 <θ≤α-1，0Dtαy(t), is the Riemann-Liouvile fractional derivative of y(t). If the uniqueness and global existence of solutions satisfying the ini-tial conditions are assumed, then there is at least one solution to the corresponding boundary value problem.
文章引用：陈辰. 打靶法在分数阶微分方程边值问题中的一些应用[J]. 理论数学, 2023, 13(4): 895-901. https://doi.org/10.12677/PM.2023.134095

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