On fractional Langevin equation involving two fractional orders in different intervals

被引：35
|
作者：
Baghani, Hamid [1 ]
Nieto, Juan J. [2 ]
机构：
[1] Univ Sistan & Baluchestan, Fac Math Stat & Comp Sci, Dept Math, Zahedan, Iran
[2] Univ Santiago de Compostela, Inst Math, Dept Math Anal, Santiago De Compostela 15782, Spain
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2019年 / 24卷 / 06期
关键词：
Caputo fractional derivative; initial boundary conditions; existence and uniqueness; fractional Langevin equation; INITIAL-VALUE PROBLEMS; EXISTENCE; UNIQUENESS; MAPPINGS;
D O I：
10.15388/NA.2019.6.3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a nonlinear Langevin equation involving two fractional orders alpha is an element of (0; 1] and beta is an element of (1; 2] with initial conditions. By means of an interesting fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations. Some illustrative numerical examples are also discussed.
引用
收藏
页码：884 / 897
页数：14
相关论文
共 50 条
  • [1] A study of nonlinear Langevin equation involving two fractional orders in different intervals
    Ahmad, Bashir
    Nieto, Juan J.
    Alsaedi, Ahmed
    El-Shahed, Moustafa
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (02) : 599 - 606
  • [2] On fractional Langevin equation involving two fractional orders
    Baghani, Omid
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 42 : 675 - 681
  • [3] An analytical improvement of a study of nonlinear Langevin equation involving two fractional orders in different intervals
    Hamid Baghani
    Journal of Fixed Point Theory and Applications, 2019, 21
  • [4] An analytical improvement of a study of nonlinear Langevin equation involving two fractional orders in different intervals
    Baghani, Hamid
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (04)
  • [5] Fractional Langevin Equation Involving Two Fractional Orders: Existence and Uniqueness Revisited
    Fazli, Hossein
    Sun, HongGuang
    Nieto, Juan J.
    MATHEMATICS, 2020, 8 (05)
  • [6] Langevin Equation Involving Three Fractional Orders
    Darzi, Rahmat
    Agheli, Bahram
    Nieto, Juan J.
    JOURNAL OF STATISTICAL PHYSICS, 2020, 178 (04) : 986 - 995
  • [7] Langevin Equation Involving Three Fractional Orders
    Rahmat Darzi
    Bahram Agheli
    Juan J. Nieto
    Journal of Statistical Physics, 2020, 178 : 986 - 995
  • [8] Langevin equation with two fractional orders
    Lim, S. C.
    Li, Ming
    Teo, L. P.
    PHYSICS LETTERS A, 2008, 372 (42) : 6309 - 6320
  • [9] A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals
    Bhrawy, Ali H.
    Alghamdi, Mohammed A.
    BOUNDARY VALUE PROBLEMS, 2012,
  • [10] A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals
    Ali H Bhrawy
    Mohammed A Alghamdi
    Boundary Value Problems, 2012
12345