LYAPUNOV TYPE INEQUALITIES FOR NONLINEAR FRACTIONAL HAMILTONIAN SYSTEMS IN THE FRAME OF CONFORMABLE DERIVATIVES

被引：0
|
作者：
Zhang, Q., I [1 ]
Shao, J. I. N. G. [1 ]
机构：
[1] Jining Univ, Dept Math, Qufu 273155, Shandong, Peoples R China
来源：
MATHEMATICAL FOUNDATIONS OF COMPUTING | 2024年 / 7卷 / 03期
关键词：
Lyapunov type inequality; fractional Hamiltonian system; conformable fractional derivative;
D O I：
10.3934/mfc.2023004
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
. Lyapunov type integral inequality is one of the important inequalities in qualitative analysis of differential equations. In this paper, using properties of conformable derivatives and integral, and the solution of initial value problem for conformable fractional differential equation, some new Lyapunov type integral inequalities for higher order nonlinear fractional Hamiltonian systems are obtained, which improve and unify some known results in the literatures.
引用
收藏
页码：284 / 296
页数：13
相关论文
共 50 条
  • [31] Ostrowski type inequalities involving conformable fractional integrals
    Khan, Muhammad Adil
    Begum, Sumbel
    Khurshid, Yousaf
    Chu, Yu-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [32] ON NEW GRUSS TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS
    Mumcu, I
    Set, E.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2019, 9 (04): : 755 - 763
  • [33] Fractional calculus in beam deflection: Analyzing nonlinear systems with Caputo and conformable derivatives
    Lamamri, Abdelkader
    Jebril, Iqbal
    Dahmani, Zoubir
    Anber, Ahmed
    Rakah, Mahdi
    Alkhazaleh, Shawkat
    AIMS MATHEMATICS, 2024, 9 (08): : 21609 - 21627
  • [34] FRACTIONAL HARDY TYPE INEQUALITIES VIA CONFORMABLE CALCULUS
    Saker, S. H.
    O'Regan, D.
    Kenawy, M. R.
    Agarwal, R. P.
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2018, 73 : 131 - 140
  • [35] Opial-type inequalities for conformable fractional integrals
    Sarikaya, Mehmet Zeki
    Budak, Huseyin
    JOURNAL OF APPLIED ANALYSIS, 2019, 25 (02) : 155 - 163
  • [36] ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL
    Usta, F.
    Sarikaya, M. Z.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2018, 8 (01): : 106 - 113
  • [37] Hermite–Hadamard type inequalities for conformable fractional integrals
    M. Adil Khan
    T. Ali
    S. S. Dragomir
    M. Z. Sarikaya
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018, 112 : 1033 - 1048
  • [38] Some Opial Type Inequalities for Conformable Fractional Integrals
    Sarikaya, Mehmet Zeki
    Can Bilisik, Candan
    1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018), 2018, 1991
  • [39] Lyapunov type inequalities for a fractional thermostat model
    Cabrera, I. J.
    Rocha, J.
    Sadarangani, K. B.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (01) : 17 - 24
  • [40] Lyapunov-type inequalities for coupled systems of nonlinear fractional differential equations via a fixed point approach
    Mohamed Jleli
    Donal O’Regan
    Bessem Samet
    Journal of Fixed Point Theory and Applications, 2019, 21
12345