On a System of Coupled Langevin Equations in the Frame of Generalized Liouville-Caputo Fractional Derivatives

被引：1
作者：
Salman, Hassan J. Al [1 ]
Awadalla, Muath [1 ]
Subramanian, Muthaiah [2 ]
Abuasbeh, Kinda [1 ]
机构：
[1] King Faisal Univ, Coll Sci, Dept Math & Stat, Al Hasa 319832, Saudi Arabia
[2] KPR Inst Engn & Technol, Dept Math, Coimbatore 641407, India
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 01期
关键词：
coupled system; Langevin equations; Katugampola integrals; generalized Liouville-Caputo derivatives; stability; existence; fixed point; DIFFERENTIAL-EQUATIONS; RIEMANN-LIOUVILLE; EXISTENCE; ORDER;
D O I：
10.3390/sym15010204
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We investigate the existence and uniqueness results for coupled Langevin differential equations of fractional order with Katugampola integral boundary conditions involving generalized Liouville-Caputo fractional derivatives. Furthermore, we discuss Ulam-Hyers stability in the context of the problem at hand. The results are shown with examples. Results are asymmetric when a generalised Liouville-Caputo fractional derivative (rho) parameter is changed. With its novel results, this paper makes a significant contribution to the relevant literature.
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页数：18
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