Existence of solutions of BVPs for impulsive fractional Langevin equations involving Caputo fractional derivatives

被引：6
|
作者：
Liu, Yuji [1 ]
Agarwal, Ravi [2 ]
机构：
[1] Guangdong Univ Finance & Econ Guangzhou, Dept Math, Guangzhou, Guangdong, Peoples R China
[2] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX USA
来源：
TURKISH JOURNAL OF MATHEMATICS | 2019年 / 43卷 / 05期
关键词：
Impulsive fractional Langevin equation; boundary value problem; integral equation; Caputo fractional derivative; SYSTEMS; ORDERS;
D O I：
10.3906/mat-1905-23
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The standard Caputo fractional derivative is generalized for the piecewise continuous functions. A more general boundary value problem for the impulsive Langevin fractional differential equation involving the Caputo fractional derivatives is studied. New existence results for solutions of concerned problems are established.
引用
收藏
页码：2451 / 2472
页数：22
相关论文
共 50 条
  • [31] EXISTENCE AND STABILITY RESULTS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH TWO CAPUTO FRACTIONAL DERIVATIVES
    Houas, Mohamed
    Bezziou, Mohamed
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2019, 34 (02): : 341 - 357
  • [32] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A NONLINEAR FRACTIONAL INITIAL VALUE PROBLEM INVOLVING CAPUTO DERIVATIVES
    Appell, Juergen
    Lopez, Belen
    Sadarangani, Kishin
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2018, 2 (01): : 25 - 33
  • [33] Existence and Attractivity of Mild Solutions for Fractional Diffusion Equations Involving the Regularized ψ-Hilfer Fractional Derivatives
    Wang, Luyao
    Jin, Yuhang
    He, Wenchang
    Mu, Jia
    AXIOMS, 2025, 14 (02)
  • [34] On Solutions of Hybrid-Sturm-Liouville-Langevin Equations with Generalized Versions of Caputo Fractional Derivatives
    Boutiara, Abdellatif
    Wahash, Hanan A. A.
    Zahran, Heba Y. Y.
    Mahmoud, Emad E. E.
    Abdel-Aty, Abdel-Haleem
    Yousef, El Sayed
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [35] On Solutions of Hybrid-Sturm-Liouville-Langevin Equations with Generalized Versions of Caputo Fractional Derivatives
    Boutiara, Abdellatif
    Wahash, Hanan A.
    Zahran, Heba Y.
    Mahmoud, Emad E.
    Abdel-Aty, Abdel-Haleem
    Yousef, El Sayed
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [36] On a Langevin equation involving Caputo fractional proportional derivatives with respect to another function
    Laadjal, Zaid
    Jarad, Fahd
    AIMS MATHEMATICS, 2022, 7 (01): : 1273 - 1292
  • [37] EXISTENCE AND ULAM STABILITY OF SOLUTIONS FOR NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING TWO FRACTIONAL ORDERS
    Saadi, Abdelkader
    Houas, Mohamed
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2022, 37 (01): : 89 - 102
  • [38] General solutions of higher order impulsive fractional differential equations involved with the Caputo type generalized fractional derivatives and applications
    Liu Y.
    Acta Scientiarum Mathematicarum, 2017, 83 (3-4): : 457 - 485
  • [39] Existence of the positive solutions for boundary value problems of mixed differential equations involving the Caputo and Riemann–Liouville fractional derivatives
    Yujing Liu
    Chenguang Yan
    Weihua Jiang
    Boundary Value Problems, 2023
  • [40] Existence and Multiplicity of Solutions for Impulsive Fractional Differential Equations
    Nemat Nyamoradi
    Mediterranean Journal of Mathematics, 2017, 14
12345