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 [J].
Bashir Ahmad ;
Juan J Nieto ;
Ahmed Alsaedi .
Advances in Difference Equations, 2012
[22]   Analysis of Q-Fractional Implicit Differential Equation with Nonlocal Riemann-Liouville and Erdelyi-Kober Q-Fractional Integral Conditions [J].
Zada, Akbar ;
Alam, Mehboob ;
Khalid, Khansa Hina ;
Iqbal, Ramsha ;
Popa, Ioan-Lucian .
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (03)
[23]   ON THE NONLINEAR GENERALIZED LANGEVIN EQUATION INVOLVING ψ-CAPUTO FRACTIONAL DERIVATIVES [J].
Nguyen Minh Dien ;
Dang Duc Trong .
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (06)
[24]   Existence and uniqueness of solutions of initial value problems for nonlinear langevin equation involving two fractional orders [J].
Yu, Tao ;
Deng, Ke ;
Luo, Maokang .
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 [J].
Almaghamsi, Lamya ;
Alruwaily, Ymnah ;
Karthikeyan, Kulandhaivel ;
El-hady, El-sayed .
FRACTAL AND FRACTIONAL, 2023, 7 (04)
[26]   Existence Theory for a Fractional q-Integro-Difference Equation with q-Integral Boundary Conditions of Different Orders [J].
Etemad, Sina ;
Ntouyas, Sotiris K. ;
Ahmad, Bashir .
MATHEMATICS, 2019, 7 (08)
[27]   Solvability of a q-fractional integral equation arising in the study of an epidemic model [J].
Jleli, Mohamed ;
Samet, Bessem .
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[28]   Ulam stability for nonlinear-Langevin fractional differential equations involving two fractional orders in the ψ-Caputo sense [J].
Baitiche, Zidane ;
Derbazi, Choukri ;
Matar, Mohammed M. .
APPLICABLE ANALYSIS, 2022, 101 (14) :4866-4881
[29]   A Langevin-Type q-Variant System of Nonlinear Fractional Integro-Difference Equations with Nonlocal Boundary Conditions [J].
Agarwal, Ravi P. ;
Al-Hutami, Hana ;
Ahmad, Bashir .
FRACTAL AND FRACTIONAL, 2022, 6 (01)
[30]   Nonlinear q-fractional differential equations with nonlocal and sub-strip type boundary conditions [J].
Ahmad, Bashir ;
Ntouyas, Sotiris K. ;
Alsaedi, Ahmed ;
Al-Hutami, Hana .
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2014, (26) :1-12