Stability Analysis and Existence Criteria with Numerical Illustrations to Fractional Jerk Differential System Involving Generalized Caputo Derivative

被引：4

作者：

Matar, Mohammed M. ^{[1
]}

Samei, Mohammad Esmael ^{[2
]}

Etemad, Sina ^{[3
]}

Amara, Abdelkader ^{[4
]}

Rezapour, Shahram ^{[3
,5
,6
]}

Alzabut, Jehad ^{[7
,8
]}

机构：

[1] Al Azhar Univ Gaza, Dept Math, Gaza Strip, Palestine

[2] Bu Ali Sina Univ, Fac Basic Sci, Dept Math, Hamadan 6517838695, Iran

[3] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

[4] Univ Kasdi Merbah, Lab Appl Math, Ouargla 30000, Algeria

[5] Kyuing Hee Univ, Dept Math, 26 Kyungheedae Ro, Seoul, South Korea

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

[7] OSTIM Tech Univ, Dept Ind Engn, TR-06374 Ankara, Turkiye

[8] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 12435, Saudi Arabia

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 03期

关键词：

Generalized fractional operators; Jerk equation; Stability; Fractional differential equation; Functional equations; PERIODIC-SOLUTIONS; EQUATIONS; RESPECT; POINT;

D O I：

10.1007/s12346-024-00970-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This inquire about ponder is committed to investigating a few properties in connection to behaviors of solutions to an extended fractional structure of the standard jerk equation. Here, we define the scheme of the general fractional jerk problem using the generalized G operators. The existence result of such a new model is derived and analyzed based on some inequalities and fixed point tools. Furthermore, analysis of its Ulam-Hyers-Rassias type stability is performed and finally, we give numerical simulations for the existing parameters of the mentioned fractional G-jerk system in the Katugampola, Caputo-Hadamard and Caputo settings under different arbitrary orders.

引用

页数：36

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