Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay

被引：0
作者：
Hassen Arfaoui
Abdellatif Ben Makhlouf
机构：
[1] Jouf University,Department of Mathematics, College of Science
[2] Université de Tunis El Manar,LAMSIN
[3] Faculty of Sciences of Sfax,ENIT
来源：
Journal of Applied Mathematics and Computing | 2022年 / 68卷
关键词：
Partial hyperbolic differential systems; Stability analysis; Fractional order; 26A33;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This work deals with the existence and uniqueness of global solution and finite time stability of fractional partial hyperbolic differential systems (FPHDSs). Using the fixed-point approach, the existence and uniqueness of global solution is studied and an estimation of solution is given. Moreover, some sufficient conditions for the finite time stability of FPHDSs are established. Numerical experiments illustrate the Stability result.
引用
收藏
页码：2389 / 2405
页数：16
相关论文
共 62 条
[1]  
Ali I(2021)Fractional calculus approach for the phase dynamics of Josephson junction Chaos Solitons Fractals 143 110572-151
[2]  
Rasheed A(2021)Robust corner detection with fractional calculus for magnetic resonance imaging Biomed. Signal Process. Control 63 102112-359
[3]  
Anwar MS(2021)The averaging principle of Hilfer fractional stochastic delay differential equations with Poisson jumps Appl. Math. Lett. 112 106755-519
[4]  
Irfan M(2021)Memory effects on link formation in temporal networks: a fractional calculus approach Physica A 564 125502-77
[5]  
Hussain Z(2021)Numerical approach to chaotic pattern formation in diffusive predator-prey system with Caputo fractional operator Numer. Methods Partial Differ. Equ. 37 131-389
[6]  
Pan X(2021)On the development of variable-order fractional hyperchaotic economic system with a nonlinear model predictive controller Chaos Solitons Fractals 144 110698-77
[7]  
Zhu J(2021)A new approach by two-dimensional wavelets operational matrix method for solving variable-order fractional partial integro-differential equations Numer. Methods Partial Differ. Equ. 37 341-18
[8]  
Yu H(2021)Numerical study of fractional order COVID-19 pandemic transmission model in context of ABO blood group Results Phys. 22 103852-401
[9]  
Chen L(2021)Global stability analysis of a fractional differential system in hepatitis B Chaos Solitons Fractals 143 110619-13
[10]  
Liu Y(2020)New finite-time stability analysis of singular fractional differential equations with time-varying delay Fract. Calc. Appl. Anal. 23 504-281
1234567