Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives

被引:0
|
作者
Mohamed Jleli
Bessem Samet
Yong Zhou
机构
[1] King Saud University,Department of Mathematics, College of Science
[2] Macau University of Science and Technology,Faculty of Information Technology
[3] Xiangtan University,Faculty of Mathematics and Computational Science
关键词
Lyapunov-type inequalities; Caputo-type fractional derivative; Systems; 26D10; 34A08; 26A33;
D O I
暂无
中图分类号
学科分类号
摘要
A Lyapunov-type inequality is derived for a nonlinear fractional boundary value problem involving Caputo-type fractional derivative. The obtained inequality provides a necessary condition for the existence of nontrivial solutions to the considered problem. Next, we extend our study to the case of systems.
引用
收藏
相关论文
共 50 条
  • [31] The Homotopy Analysis Method for Solving Differential Equations With Generalized Caputo-Type Fractional Derivatives
    Fafa, Wafia
    Odibat, Zaid
    Shawagfeh, Nabil
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2023, 18 (02):
  • [32] LYAPUNOV-TYPE INEQUALITIES FOR A NONLINEAR SEQUENTIAL FRACTIONAL BVP IN THE FRAME OF GENERALIZED HILFER DERIVATIVES
    Nguyen Minh Dien
    Nieto, Juan J.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2022, 25 (03): : 851 - 852
  • [33] Lyapunov-type inequalities for differential equation with Caputo–Hadamard fractional derivative under multipoint boundary conditions
    Youyu Wang
    Yuhan Wu
    Zheng Cao
    Journal of Inequalities and Applications, 2021
  • [34] Caputo-type modification of the Hadamard fractional derivatives
    Jarad, Fahd
    Abdeljawad, Thabet
    Baleanu, Dumitru
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [35] LYAPUNOV-TYPE INEQUALITIES FOR α-TH ORDER FRACTIONAL DIFFERENTIAL EQUATIONS WITH 2 < α ≤ 3 AND FRACTIONAL BOUNDARY CONDITIONS
    Dhar, Sougata
    Kong, Qingkai
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [36] New approximations for solving the Caputo-type fractional partial differential equations
    Ren, Jincheng
    Sun, Zhi-zhong
    Dai, Weizhong
    APPLIED MATHEMATICAL MODELLING, 2016, 40 (04) : 2625 - 2636
  • [37] A new smoothness result for Caputo-type fractional ordinary differential equations
    Li, Binjie
    Xie, Xiaoping
    Zhang, Shiquan
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 349 : 408 - 420
  • [38] EXISTENCE AND UNIQUENESS OF GLOBAL SOLUTIONS OF CAPUTO-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS
    Sin, Chung-Sik
    Zheng, Liancun
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2016, 19 (03) : 765 - 774
  • [39] WELL-POSEDNESS OF GENERAL CAPUTO-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS
    Sin, Chung-Sik
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (03) : 819 - 832
  • [40] Lyapunov-type inequalities for higher-order Caputo fractional differential equations with general two-point boundary conditions
    Srivastava, Satyam narayan
    Pati, Smita
    Graef, John r.
    Domoshnitsky, Alexander
    Padhi, Seshadev
    CUBO-A MATHEMATICAL JOURNAL, 2024, 26 (02): : 259 - 277