Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative

被引：9
|
作者：
Khaminsou, Bounmy [2 ]
Thaiprayoon, Chatthai [2 ]
Alzabut, Jehad [3 ]
Sudsutad, Weerawat [1 ]
机构：
[1] Navamindradhiraj Univ, Fac Sci & Hlth Technol, Dept Gen Educ, Bangkok 10300, Thailand
[2] Burapha Univ, Fac Sci, Dept Math, Chon Buri 22000, Thailand
[3] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia
来源：
BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期
关键词：
Fractional Langevin equation; Generalized proportional fractional derivative; Ulam stability; Existence and uniqueness; Nonlocal integral conditions; DIFFERENTIAL-EQUATIONS; ORDERS;
D O I：
10.1186/s13661-020-01473-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Results reported in this paper study the existence and stability of a class of implicit generalized proportional fractional integro-differential Langevin equations with nonlocal fractional integral conditions. The main theorems are proved with the help of Banach's, Krasnoselskii's, and Schaefer's fixed point theorems and Ulam's approach. Finally, an example is given to demonstrate the applicability of our theoretical findings.
引用
收藏
页数：30
相关论文
共 50 条
  • [31] Boundary Value Problems for a Pseudoparabolic Equation with the Caputo Fractional Derivative
    Beshtokov, M. Kh.
    DIFFERENTIAL EQUATIONS, 2019, 55 (07) : 884 - 893
  • [32] Boundary Value Problems for a Pseudoparabolic Equation with the Caputo Fractional Derivative
    M. Kh. Beshtokov
    Differential Equations, 2019, 55 : 884 - 893
  • [33] Nonlocal Sequential Boundary Value Problems for Hilfer Type Fractional Integro-Differential Equations and Inclusions
    Phuangthong, Nawapol
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    Nonlaopon, Kamsing
    MATHEMATICS, 2021, 9 (06)
  • [34] Existence results of mild solutions for nonlocal fractional delay integro-differential evolution equations via Caputo conformable fractional derivative
    Rabhi, Lahcene
    Al Horani, Mohammed
    Khalil, Roshdi
    AIMS MATHEMATICS, 2022, 7 (07): : 11614 - 11634
  • [35] Nonlocal integro-differential equations of Sobolev type in Banach spaces involving ψ-Caputo fractional derivative
    Liang, Jin
    Mu, Yunyi
    Xiao, Ti-Jun
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2022, 16 (01)
  • [36] Analog of the Darboux problem for a loaded integro-differential equation involving the Caputo fractional derivative
    Baltaeva, U.
    Alikulov, Y.
    Baltaeva, I. I.
    Ashirova, A.
    NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS, 2021, 12 (04): : 418 - 424
  • [37] Hyers-Ulam Stability of Fractional Integro-differential Equation with a Positive Constant Coefficient involving the Generalized Caputo Fractional Derivative
    Ho Vu
    Ngo Van Hoa
    FILOMAT, 2022, 36 (18) : 6299 - 6316
  • [38] Hilfer proportional nonlocal fractional integro-multipoint boundary value problems
    Samadi, Ayub
    Ntouyas, Sotiris K.
    Cuntavepanit, Asawathep
    Tariboon, Jessada
    OPEN MATHEMATICS, 2023, 21 (01):
  • [39] Langevin Equations with Generalized Proportional Hadamard-Caputo Fractional Derivative
    Barakat, M. A.
    Soliman, Ahmed H.
    Hyder, Abd-Allah
    COMPUTATIONAL INTELLIGENCE AND NEUROSCIENCE, 2021, 2021
  • [40] On a Hilfer generalized proportional fractional integro-differential inclusion
    Cernea, Aurelian
    IFAC PAPERSONLINE, 2024, 58 (12): : 401 - 405
12345