EXISTENCE OF LOCAL SOLUTIONS FOR FRACTIONAL DIFFERENCE EQUATIONS WITH LEFT FOCAL BOUNDARY CONDITIONS

被引：8

作者：

Henderson, Johnny ^{[1
]}

Neugebauer, Jeffrey T. ^{[2
]}

机构：

[1] Baylor Univ, Dept Math, Waco, TX 76798 USA

[2] Eastern Kentucky Univ, Dept Math & Stat, Richmond, KY 40475 USA

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2021年 / 24卷 / 01期

关键词：

Atici-Eloe fractional sums and differences; left focal boundary value problem; fixed point; local solution; SYSTEM;

D O I：

10.1515/fca-2021-0014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For 1 < nu <= 2 a real number and T >= 3 a natural number, conditions are given for the existence of solutions of the nu th order Atici-Eloe fractional difference equation, Delta(nu)y(t) f (t + nu - 1, y(t + nu -1)) = 0, t is an element of {0, 1, ..., T}, and satisfying the left focal boundary conditions Delta y(nu -2) = y(nu + T) = 0.

引用

页码：324 / 331

页数：8

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