EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR FRACTIONAL Q-DIFFERENCE EQUATIONS

被引：1
作者：
Ulke, Oykum [1 ]
Topal, Fatma Serap [2 ]
机构：
[1] Univ Natl Def, Air NCO Higher Vocat Sch, TR-35410 Gaziemir Izmir, Turkiye
[2] Ege Univ, Dept Math, TR-35100 Bornova Izmir, Turkiye
来源：
MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 01期
关键词：
fractional q-difference equations; integral boundary value problems; the fixed point theorem; existence; uniqueness;
D O I：
10.18514/MMN.2023.3985
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, two different boundary value problems of fractional q-difference equation are discussed. The first one is fractional q-difference equation with integral boundary conditions and the other one is three point boundary value problem of fractional q-difference equation with p-Laplacian. By using fixed point theorems, some sufficient conditions that guarantee the exist-ence and uniqueness of solutions are given.
引用
收藏
页码：473 / 487
页数：15
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