Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval

被引：15

作者：

Boutiara, Abdellatif ^{[1
]}

Benbachir, Maamar ^{[2
]}

Kaabar, Mohammed K. A. ^{[3
]}

Martinez, Francisco ^{[4
]}

Samei, Mohammad Esmael ^{[5
]}

Kaplan, Melike ^{[6
]}

机构：

[1] Univ Ghardaia, Lab Math & Appl Sci, Ghardaia 47000, Algeria

[2] Saad Dahlab Univ, Fac Sci, Blida, Algeria

[3] Univ Malaya, Fac Sci, Inst Math Sci, Kuala Lumpur 50603, Malaysia

[4] Technol Univ Cartagena, Dept Appl Math & Stat, Cartagena, Spain

[5] Bu Ali Sina Univ, Dept Math, Hamadan, Hamadan, Iran

[6] Kastamonu Univ, Dept Comp Engn, Kastamonu, Turkey

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2022年 / 2022卷 / 01期

关键词：

Fractional q-difference equation; Fractional q-derivative; Unbounded solution; Explicit iteration; Infinite interval; Q-INTEGRALS; EXISTENCE;

D O I：

10.1186/s13660-022-02764-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, a proposed system of fractional boundary value problems is investigated concerning its unbounded solutions' existence for a class of nonlinear fractional q-difference equations in the context of the Riemann-Liouville fractional q-derivative on an infinite interval. The system's solution is formulated with the help of Green's function. A compactness criterion is established in a special space. All the obtained results of uniqueness and existence are investigated with the help of fixed-point theorems. Some essential examples are illustrated to support our main outcomes.

引用

页数：27

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