Existence and Ulam-Hyers Stability Results for a System of Coupled Generalized Liouville-Caputo Fractional Langevin Equations with Multipoint Boundary Conditions

被引：9

作者：

Awadalla, Muath ^{[1
]}

Subramanian, Muthaiah ^{[2
]}

Abuasbeh, Kinda ^{[1
]}

机构：

[1] King Faisal Univ, Coll Sci, Dept Math & Stat, Al Hasa 31982, Saudi Arabia

[2] KPR Inst Engn & Technol, Dept Math, Coimbatore 641407, Tamilnadu, India

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 01期

关键词：

coupled system; Langevin equations; generalized fractional integrals; generalized fractional derivatives; stability; existence; fixed point; DIFFERENTIAL-EQUATIONS; RIEMANN-LIOUVILLE; ORDER;

D O I：

10.3390/sym15010198

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 study the existence and uniqueness of solutions for coupled Langevin differential equations of fractional order with multipoint 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 generalized Liouville-Caputo fractional derivative (rho) parameter is changed.

引用

页数：20

共 50 条

[1] Existence and Ulam-Hyers Stability Analysis for Coupled Differential Equations of Fractional-Order with Nonlocal Generalized Conditions via Generalized Liouville-Caputo Derivative
Subramanian, Muthaiah
Aljoudi, Shorog
FRACTAL AND FRACTIONAL, 2022, 6 (11)
[2] Hyers-Ulam Stability and Existence of Solutions to the Generalized Liouville-Caputo Fractional Differential Equations
Liu, Kui
Feckan, Michal
Wang, Jinrong
SYMMETRY-BASEL, 2020, 12 (06):
[3] The existence, uniqueness and Ulam-Hyers stability results of a hybrid coupled system with Ψ-Caputo fractional derivatives
Chefnaj, Najat
Hilal, Khalid
Kajouni, Ahmed
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (03) : 2209 - 2224
[4] Ulam-Hyers stability of fractional Langevin equations
Wang, JinRong
Li, Xuezhu
APPLIED MATHEMATICS AND COMPUTATION, 2015, 258 : 72 - 83
[5] Existence results and Ulam-Hyers stability to impulsive coupled system fractional differential equations
Belbali, Hadjer
Benbachir, Maamar
TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (03) : 1368 - 1385
[6] Existence results for Langevin equations involving generalized Liouville-Caputo fractional derivatives with non-local boundary conditions
Dhaniya, Sombir
Kumar, Anoop
Khan, Aziz
Abdeljawad, Thabet
ALEXANDRIA ENGINEERING JOURNAL, 2024, 90 : 153 - 160
[7] On a System of Coupled Langevin Equations in the Frame of Generalized Liouville-Caputo Fractional Derivatives
Salman, Hassan J. Al
Awadalla, Muath
Subramanian, Muthaiah
Abuasbeh, Kinda
SYMMETRY-BASEL, 2023, 15 (01):
[8] Existence and Ulam-Hyers stability of coupled sequential fractional differential equations with integral boundary conditions
Mahmudov, Nazim I.
Al-Khateeb, Areen
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[9] Existence Results and Ulam-Hyers Stability for a Fully Coupled System of Nonlinear Sequential Hilfer Fractional Differential Equations and Integro-Multistrip-Multipoint Boundary Conditions
Agarwal, Ravi P.
Assolami, Afrah
Alsaedi, Ahmed
Ahmad, Bashir
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (04)
[10] Existence and Ulam-Hyers stability results of a coupled system of ψ-Hilfer sequential fractional differential equations
Almalahi, Mohammed A.
Abdo, Mohammed S.
Panchal, Satish K.
RESULTS IN APPLIED MATHEMATICS, 2021, 10

← 1 2 3 4 5 →