On a nonlocal integral boundary value problem of nonlinear Langevin equation with different fractional orders

被引：28
|
作者：
Ahmad, Bashir [1 ]
Alsaedi, Ahmed [1 ]
Salem, Sara [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期
关键词：
EXISTENCE; INCLUSIONS; DISCRETE;
D O I：
10.1186/s13662-019-2003-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we develop the existence theory for a nonlinear Langevin equation involving Caputo fractional derivatives of different orders and Riemann-Liouville fractional integral supplemented with nonlocal multi-point and multi-strip boundary conditions. We make use of the modern methods of functional analysis to obtain the existence and uniqueness results for the given problem, which are well illustrated with the aid of examples. Our results are new and correspond to some new ones for specific choices of the parameters involved in the problem.
引用
收藏
页数：14
相关论文
共 50 条
  • [1] On a nonlocal integral boundary value problem of nonlinear Langevin equation with different fractional orders
    Bashir Ahmad
    Ahmed Alsaedi
    Sara Salem
    [J]. Advances in Difference Equations, 2019
  • [2] On nonlocal integral and derivative boundary value problem of nonlinear Hadamard Langevin equation with three different fractional orders
    Berhail, Amel
    Tabouche, Nora
    Matar, Mohammed M.
    Alzabut, Jehad
    [J]. BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (02): : 303 - 318
  • [3] On nonlocal integral and derivative boundary value problem of nonlinear Hadamard Langevin equation with three different fractional orders
    Amel Berhail
    Nora Tabouche
    Mohammed M. Matar
    Jehad Alzabut
    [J]. Boletín de la Sociedad Matemática Mexicana, 2020, 26 : 303 - 318
  • [4] Boundary value problem of a nonlinear Langevin equation with two different fractional orders and impulses
    Guotao Wang
    Lihong Zhang
    Guangxing Song
    [J]. Fixed Point Theory and Applications, 2012
  • [5] Boundary value problem of a nonlinear Langevin equation with two different fractional orders and impulses
    Wang, Guotao
    Zhang, Lihong
    Song, Guangxing
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [6] Langevin equation with nonlocal boundary conditions involving a ψ-Caputo fractional operators of different orders
    Seemab, Arjumand
    Rehman, Mujeeb Ur
    Alzabut, Jehad
    Adjabi, Yassine
    Abdo, Mohammed S.
    [J]. AIMS MATHEMATICS, 2021, 6 (07): : 6749 - 6780
  • [7] 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
  • [8] A nonlocal three-point inclusion problem of Langevin equation with two different fractional orders
    Ahmad, Bashir
    Nieto, Juan J.
    Alsaedi, Ahmed
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [9] Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions
    Chen, Anping
    Chen, Yi
    [J]. BOUNDARY VALUE PROBLEMS, 2011,
  • [10] Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions
    Anping Chen
    Yi Chen
    [J]. Boundary Value Problems, 2011
12345