Chaotic attractors and fixed point methods in piecewise fractional derivatives and multi-term fractional delay differential equations

被引：8

作者：

Panda, Sumati Kumari ^{[1
]}

Abdeljawad, Thabet ^{[2
]}

Jarad, Fahd ^{[3
,4
]}

机构：

[1] GMR Inst Technol, Dept Math, Rajam 532127, Andhra Pradesh, India

[2] Prince Sultan Univ, Dept Math & Sci, POB 66833, Riyadh 11586, Saudi Arabia

[3] Cankaya Univ, Dept Math, Ankara, Turkiye

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

来源：

RESULTS IN PHYSICS | 2023年 / 46卷

关键词：

Cyclic mapping; Piecewise Caputo-Fabrizio fractional; derivatives; Fractional delay differential equations; Fixed point; THEOREMS;

D O I：

10.1016/j.rinp.2023.106313

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Using generalized cyclic contractions, we establish some fixed point results in controlled rectangular metric spaces. Some subsequent outcomes are obtained. Moreover, some necessary conditions to demonstrate the existence of solutions for the multi-term fractional delay differential equations with wth order and the piecewise equations under the setting of non-singular type derivative are established in this paper. In order to demonstrate the effectiveness of our results, we provided some numerical examples.

引用

页数：16

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