Positivity and uniqueness of solutions for Riemann-Liouville fractional problem of delta types

被引：0

作者：

Srivastava, Hari Mohan ^{[1
,2
,3
]}

Mohammed, Pshtiwan Othman ^{[4
]}

Baleanu, Dumitru ^{[5
,6
]}

Yousif, Majeed A.

Ibrahim, Ibrahim S. ^{[7
]}

Abdelwahed, Mohamed ^{[8
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] Kyung Hee Univ, Ctr Converging Humanities, 26 Kyungheedae Ro, Seoul 02447, South Korea

[3] Int Telematic Univ Uninettuno, Sect Math, I-00186 Rome, Italy

[4] Univ Sulaimani, Coll Educ, Dept Math, Sulaymaniyah 46001, Iraq

[5] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut 11022801, Lebanon

[6] Inst Space Sci Subsidiary INFLPR, R-76900 Magurele, Romania

[7] Univ Zakho, Coll Educ, Dept Math, Zakho 42002, Iraq

[8] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2025年 / 114卷

关键词：

Riemann-Liouville operators; Green's functions; Fixed point theorem; Existence and uniqueness solution; STABILITY ANALYSIS; NEURAL-NETWORKS; EXISTENCE; OPERATORS;

D O I：

10.1016/j.aej.2024.11.072

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we explore multi positive solutions together with their existence and uniqueness, which is properly defined for delta fractional version of Riemann-Liouville difference operators. Our exploration encompasses two distinct directions. In the first direction, we construct the Green's function formula for the proposed delta fractional boundary value problems of order S is an element of (1, 2), and we present some essential properties of this function. The last and main results suggest using the well-known fixed point theorems in a Banach space for testing the existing and uniqueness of multi-positive solutions of such problems.

引用

页码：173 / 178

页数：6

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