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
[31]   q-fractional differential equations with uncertainty [J].
Noeiaghdam, Z. ;
Allahviranloo, T. ;
Nieto, Juan J. .
SOFT COMPUTING, 2019, 23 (19) :9507-9524
[32]   LANGEVIN EQUATION INVOLVING TWO FRACTIONAL ORDERS WITH THREE-POINT BOUNDARY CONDITIONS [J].
Salem, Ahmed ;
Alzahrani, Faris ;
Alghamdi, Balqees .
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2020, 33 (3-4) :163-180
[33]   Nonlinear fractional integro-differential Langevin equation involving two fractional orders with three-point multi-term fractional integral boundary conditions [J].
Sudsutad W. ;
Tariboon J. .
Journal of Applied Mathematics and Computing, 2013, 43 (1-2) :507-522
[34]   Existence and Stability of Solutions for Linear and Nonlinear Damping of q-Fractional Duffing–Rayleigh Problem [J].
Mohamed Houas ;
Mohammad Esmael Samei .
Mediterranean Journal of Mathematics, 2023, 20
[35]   Existence and Ulam-Hyers stability results for nonlinear fractional Langevin equation with modified argument [J].
Develi, Faruk .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (07) :3417-3425
[36]   Nonlinear second-order impulsive q-difference Langevin equation with boundary conditions [J].
Jessada Tariboon ;
Sotiris K Ntouyas .
Boundary Value Problems, 2014
[37]   Nonlinear second-order impulsive q-difference Langevin equation with boundary conditions [J].
Tariboon, Jessada ;
Ntouyas, Sotiris K. .
BOUNDARY VALUE PROBLEMS, 2014,
[38]   EXISTENCE AND CONTINUITY RESULTS FOR A NONLINEAR FRACTIONAL LANGEVIN EQUATION WITH A WEAKLY SINGULAR SOURCE [J].
Nguyen Minh Dien .
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2021, 33 (03) :349-369
[39]   Existence of extremal solutions of fractional Langevin equation involving nonlinear boundary conditions [J].
Fazli, Hossein ;
Sun, HongGuang ;
Aghchi, Sima .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 98 (01) :1-10
[40]   Nonlinear impulsive Langevin equation with mixed derivatives [J].
Rizwan, Rizwan ;
Zada, Akbar .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (01) :427-442