非局部分数边值问题及其在捕食者-猎物模型中的应用

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-09-11 DOI:10.58997/ejde.2023.58

Michal Feckan, Kateryna Marynets

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引用次数: 0

摘要

研究了一类非局部多点边界条件下的非线性分数边值问题。通过引入适当的参数化技术，将原问题简化为具有两点限制的等价问题。利用切比雪夫节点和拉格朗日多项式的概念，构造了一个连续迭代格式，该格式收敛于未知参数的特定值的非局部问题的精确解，并进行了数值计算。更多信息请参见https://ejde.math.txstate.edu/Volumes/2023/58/abstr.html

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Non-local fractional boundary value problems with applications to predator-prey models

We study a nonlinear fractional boundary value problem (BVP) subject to non-local multipoint boundary conditions. By introducing an appropriate parametrization technique we reduce the original problem to an equivalent one with already two-point restrictions. Using a notion of Chebyshev nodes and Lagrange polynomials we construct a successive iteration scheme, that converges to the exact solution of the non-local problem for particular values of the unknown parameters, which are calculated numerically. For mote information see https://ejde.math.txstate.edu/Volumes/2023/58/abstr.html

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.