NEW EXISTENCE AND UNIQUENESS RESULT FOR FRACTIONAL BAGLEY-TORVIK DIFFERENTIAL EQUATION

被引：6

作者：

Baghani, Hamid ^{[1
]}

Feckan, Michal ^{[2
,3
]}

Farokhi-Ostad, Javad ^{[4
]}

Alzabut, Jehad ^{[5
,6
]}

机构：

[1] Univ Sistan & Baluchestan, Dept Math, Zahedan, Iran

[2] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia

[3] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia

[4] Birjand Univ Technol, Dept Basic Sci, Birjand, Iran

[5] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[6] OSTIM Tech Univ, Dept Ind Engn, TR-06374 Ankara, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2022年 / 23卷 / 02期

关键词：

Fractional Bagley-Torvik equation; Coupled fractional equations; Banach fixed point theorem; CALCULUS;

D O I：

10.18514/MMN.2022.3702

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Inspired by the paper of Fazli and Nieto in [Open Math. 17 (2019) 499-512], we establish new existence and uniqueness result for a type of fractional Bagley-Torvik differential equation. Reported result not only generalizes previous results but also adopts different technique. We finish this study by concluding remarks which discuss the preference of our theorem compared to previous results. An example is constructed with specific parameters that requires weaker conditions for the existence of a unique solution. Meanwhile, we construct an iterative sequence that converges to the unique solution and can not be commented via the results of Fazli and Nieto.

引用

页码：537 / 549

页数：13

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