On a coupled hybrid system of nonlinear differential equations with a nonlocal concentration

被引:2
|
作者
Menci, Marta [1 ]
Papi, Marco [1 ]
Porzio, Maria Michaela [2 ]
Smarrazzo, Flavia [1 ]
机构
[1] Univ Campus Biomed Roma, Via Alvaro Portillo 21, I-00128 Rome, Italy
[2] Sapienza Univ Roma, Dipartimento Pianificaz Design Tecnol Architettura, Via Flaminia 70, I-00196 Rome, Italy
关键词
Coupled hybrid systems; Nonlocal concentration; Pseudoparabolic approximation; MATHEMATICAL-MODEL; SOBOLEV REGULARIZATION; RESPECT; GROWTH;
D O I
10.1016/j.jde.2023.02.044
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We focus on existence of solutions to a coupled system of nonlinear differential equations which arises as a biological model for collective cell migrations and growth. Results concerning uniqueness and regularity in time of solutions are also discussed.(c) 2023 Elsevier Inc. All rights reserved.
引用
收藏
页码:288 / 338
页数:51
相关论文
共 50 条
  • [1] On coupled system of nonlinear Ψ-Hilfer hybrid fractional differential equations
    Mali, Ashwini D.
    Kucche, Kishor D.
    da Costa Sousa, Jose Vanterler
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24 (04) : 1425 - 1445
  • [2] Investigating a Coupled Hybrid System of Nonlinear Fractional Differential Equations
    Kumam, Wiyada
    Zada, Mian Bahadur
    Shah, Kamal
    Khan, Rahmat Ali
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
  • [3] A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions
    Bashir Ahmad
    Soha Hamdan
    Ahmed Alsaedi
    Sotiris K. Ntouyas
    Advances in Difference Equations, 2021
  • [4] A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions
    Ahmad, Bashir
    Hamdan, Soha
    Alsaedi, Ahmed
    Ntouyas, Sotiris K.
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [5] On a Coupled System of Random and Stochastic Nonlinear Differential Equations with Coupled Nonlocal Random and Stochastic Nonlinear Integral Conditions
    El-Sayed, Ahmed M. A.
    Fouad, Hoda A.
    MATHEMATICS, 2021, 9 (17)
  • [6] COUPLED SYSTEM OF NONLINEAR IMPULSIVE HYBRID DIFFERENTIAL EQUATIONS WITH LINEAR AND NONLINEAR PERTURBATIONS
    Hannabou, M.
    Bouaouid, M.
    Hilal, K.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2024, 14 (04): : 1434 - 1450
  • [7] Stability theory to a coupled system of nonlinear fractional hybrid differential equations
    Kamal Samina
    Rahmat Ali Shah
    Indian Journal of Pure and Applied Mathematics, 2020, 51 : 669 - 687
  • [8] STABILITY THEORY TO A COUPLED SYSTEM OF NONLINEAR FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS
    Samina
    Shah, Kamal
    Khan, Rahmat Ali
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2020, 51 (02): : 669 - 687
  • [9] Existence of the Solution for System of Coupled Hybrid Differential Equations with Fractional Order and Nonlocal Conditions
    Hilal, Khalid
    Kajouni, Ahmed
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 2016
  • [10] On a fully coupled nonlocal multipoint boundary value problem for a dual hybrid system of nonlinear q-fractional differential equations
    Alsaedi, Ahmed
    Bohner, Martin
    Ahmad, Bashir
    Alharbi, Boshra
    BULLETIN OF MATHEMATICAL SCIENCES, 2024,