On a q-fractional variant of nonlinear Langevin equation of different orders

被引：0
作者：
B. Ahmad
J. J. Nieto
A. Alsaedi
H. Al-Hutami
机构：
[1] King Abdulaziz University,
[2] Universidad de Santiago de Compostela,undefined
来源：
Journal of Contemporary Mathematical Analysis | 2014年 / 49卷
关键词：
Langevin equation; q-fractional; antiperiodic; existence; fixed point; 34A08; 34B10; 34B15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we introduce a q-fractional variant of nonlinear Langevin equation of different orders with q-fractional antiperiodic boundary conditions. The nonlinearity in the proposed problem involves an integral term (a Riemann-Liouville type q-integral) and a non-integral term. Some existence results for solutions of the given problem are established by means of classical tools of fixed point theory. An illustrative example is also presented.
引用
收藏
页码：277 / 286
页数：9
相关论文
共 50 条
  • [21] A nonlocal three-point inclusion problem of Langevin equation with two different fractional orders
    Bashir Ahmad
    Juan J Nieto
    Ahmed Alsaedi
    [J]. Advances in Difference Equations, 2012
  • [22] ON THE NONLINEAR GENERALIZED LANGEVIN EQUATION INVOLVING ψ-CAPUTO FRACTIONAL DERIVATIVES
    Nguyen Minh Dien
    Dang Duc Trong
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (06)
  • [23] Analysis of Q-Fractional Implicit Differential Equation with Nonlocal Riemann-Liouville and Erdelyi-Kober Q-Fractional Integral Conditions
    Zada, Akbar
    Alam, Mehboob
    Khalid, Khansa Hina
    Iqbal, Ramsha
    Popa, Ioan-Lucian
    [J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (03)
  • [24] Existence and uniqueness of solutions of initial value problems for nonlinear langevin equation involving two fractional orders
    Yu, Tao
    Deng, Ke
    Luo, Maokang
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (06) : 1661 - 1668
  • [25] On Coupled System of Langevin Fractional Problems with Different Orders of μ-Caputo Fractional Derivatives
    Almaghamsi, Lamya
    Alruwaily, Ymnah
    Karthikeyan, Kulandhaivel
    El-hady, El-sayed
    [J]. FRACTAL AND FRACTIONAL, 2023, 7 (04)
  • [26] Existence Theory for a Fractional q-Integro-Difference Equation with q-Integral Boundary Conditions of Different Orders
    Etemad, Sina
    Ntouyas, Sotiris K.
    Ahmad, Bashir
    [J]. MATHEMATICS, 2019, 7 (08)
  • [27] Solvability of a q-fractional integral equation arising in the study of an epidemic model
    Jleli, Mohamed
    Samet, Bessem
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [28] Ulam stability for nonlinear-Langevin fractional differential equations involving two fractional orders in the ψ-Caputo sense
    Baitiche, Zidane
    Derbazi, Choukri
    Matar, Mohammed M.
    [J]. APPLICABLE ANALYSIS, 2022, 101 (14) : 4866 - 4881
  • [29] A Langevin-Type q-Variant System of Nonlinear Fractional Integro-Difference Equations with Nonlocal Boundary Conditions
    Agarwal, Ravi P.
    Al-Hutami, Hana
    Ahmad, Bashir
    [J]. FRACTAL AND FRACTIONAL, 2022, 6 (01)
  • [30] Nonlinear q-fractional differential equations with nonlocal and sub-strip type boundary conditions
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    Al-Hutami, Hana
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2014, (26) : 1 - 12
12345