UNIQUENESS RESULTS BASED ON DELTA FRACTIONAL OPERATORS FOR CERTAIN BOUNDARY VALUE PROBLEMS

被引：1

作者：

Mohammed, Pshtiwan Othman ^{[1
]}

Agarwal, Ravi P. ^{[2
]}

Baleanu, Dumitru ^{[3
]}

Abdeljawad, Thabet ^{[4
,5
,6
]}

Yousif, Majeed A. ^{[7
]}

Abdelwahed, Mohamed ^{[8
]}

机构：

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

[2] Florida Inst Technol, Dept Math & Syst Engn, Melbourne, FL 32901 USA

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

[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[5] Gulf Univ Sci & Technol, Ctr Appl Math & Bioinformat, Hawally, Kuwait

[6] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, ZA-0204 Garankuwa, Medusa, South Africa

[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：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2024年

关键词：

Riemann-Liouville Operators; Green's Functions; Fractional Boundary Value Problems; Existence and Uniqueness Solution;

D O I：

10.1142/S0218348X25400419

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper primarily lies in presenting existence and uniqueness analysis of boundary fractional difference equations of a special Riemann-Liouville operators classes. To this end, we first develop Green's function to the corresponding fractional boundary value problems and provide boundary conditions to find the constants. Then we study the existence of solutions and we examine the bounded of their solutions. Eventually, two numerical examples are given to demonstrate the efficiency and uniqueness behavior of the boundary value problem. Furthermore, such fractional problems can typically be converted to a direct fractional problem with certain boundary or initial conditions in transport in porous media.

引用

页数：10

共 37 条

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