Langevin equation in terms of conformable differential operators

被引：1
|
作者：
Ahmad, Bashir [1 ]
Agarwal, Ravi P. [2 ]
Alghanmi, Madeaha [1 ]
Alsaedi, Ahmed [1 ]
机构：
[1] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
[2] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2020年 / 28卷 / 02期
关键词：
Langevin equation; conformable differential operators; integral boundary conditions; existence; fixed point;
D O I：
10.2478/auom-2020-0016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish sufficient criteria for the existence of solutions for a new kind of nonlinear Langevin equation involving conformable differential operators of different orders and equipped with integral boundary conditions. We apply the modern tools of functional analysis to derive the desired results for the problem at hand. Examples are constructed for the illustration of the obtained results.
引用
收藏
页码：5 / 14
页数：10
相关论文
共 50 条
  • [1] EXPRESSION FOR THE SOLUTION OF A DIFFERENTIAL-EQUATION IN TERMS OF ITERATES OF DIFFERENTIAL OPERATORS
    BABIN, AV
    MATHEMATICS OF THE USSR-SBORNIK, 1978, 34 (04): : 411 - 424
  • [2] CONFORMABLE EXPONENTIAL DICHOTOMY AND ROUGHNESS OF CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATION
    Wang, Baishun
    Zhou, Jun
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2025, 15 (02): : 1170 - 1202
  • [3] Conformable differential operators for meromorphically multivalent functions
    Ibrahim, Rabha W.
    Baleanu, Dumitru
    Jahangiri, Jay M.
    CONCRETE OPERATORS, 2021, 8 (01): : 150 - 157
  • [4] Analytical manner for abundant stochastic wave solutions of extended KdV equation with conformable differential operators
    Hyder, Abd-Allah
    Soliman, Ahmed H.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (14) : 8600 - 8612
  • [5] A coupled fractional conformable Langevin differential system and inclusion on the circular graph
    Zhang, Lihong
    Liu, Xuehui
    Wang, Guotao
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2024, 29 (05): : 1026 - 1050
  • [6] Langevin equation as a stochastic differential equation in nuclear physics
    Asano, T.
    Wada, T.
    Ohta, M.
    Takigawa, N.
    TOURS SYMPOSIUM ON NUCLEAR PHYSICS VI, 2007, 891 : 435 - +
  • [7] Conformable Fractional Bernoulli Differential Equation with Applications
    Dababneh, Amer
    Albarmawi, Bilal
    Abu Hammad, Ma'mon
    Zraiqat, Amjed
    Hamadneh, Tareq
    2019 IEEE JORDAN INTERNATIONAL JOINT CONFERENCE ON ELECTRICAL ENGINEERING AND INFORMATION TECHNOLOGY (JEEIT), 2019, : 421 - 424
  • [8] ON THE INTEGRO-DIFFERENTIAL EQUATION WITH CONFORMABLE DERIVATIVE
    Xuan, Doan Thi Thanh
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (03): : 1208 - 1221
  • [9] Computation and simulation of langevin stochastic differential equation
    Ahangar, Reza
    Journal of Combinatorial Mathematics and Combinatorial Computing, 2013, 86 : 183 - 198
  • [10] ON THE CONTRIBUTION OF MULTIPLICATIVE NOISE TERMS TO THE LANGEVIN EQUATION FOR ROTATIONAL RELAXATION
    COFFEY, WT
    JOURNAL OF CHEMICAL PHYSICS, 1993, 99 (04): : 3014 - 3020
12345