Fractional p-Laplacian Coupled Systems with Multi-Point Boundary Conditions

被引：1
作者：
Samadi, Ayub [1 ]
Ntouyas, Sotiris K. [2 ]
Tariboon, Jessada [3 ]
机构：
[1] Islamic Azad Univ, Dept Math, Miyaneh Branch, Miyaneh 5315836511, Iran
[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece
[3] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Intelligent & Nonlinear Dynam Innovat Res Ctr, Dept Math, Bangkok 10800, Thailand
来源：
AXIOMS | 2023年 / 12卷 / 09期
关键词：
p-laplacian operator; fractional calculus; Caputo fractional derivative; Riemann-Liouville fractional integral; DIFFERENTIAL-EQUATIONS;
D O I：
10.3390/axioms12090866
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is allocated to the existence and uniqueness of solutions for a system of nonlinear differential equations consisting of the Caputo fractional-order derivatives. Our main results are proved via standard tools of fixed point theory. Finally, the presented results are clarified by constructing some examples.
引用
收藏
页数：18
相关论文
共 22 条
  • [1] Ahmad B., 2017, HADAMARD TYPE FRACTI
  • [2] Fractional differential equations involving generalized derivative with Stieltjes and fractional integral boundary conditions
    Ahmad, Bashir
    Alghanmi, Madeaha
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    [J]. APPLIED MATHEMATICS LETTERS, 2018, 84 : 111 - 117
  • [3] [Anonymous], 1945, Izv. Akad. Nauk SSSR, Geography and Geophysics
  • [4] Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type
    Diethelm, Kai
    [J]. ANALYSIS OF FRACTIONAL DIFFERENTIAL EQUATIONS: AN APPLICATION-ORIENTED EXPOSITION USING DIFFERENTIAL OPERATORS OF CAPUTO TYPE, 2010, 2004 : 3 - +
  • [5] LMI-based stabilization of a class of fractional-order chaotic systems
    Faieghi, Mohammadreza
    Kuntanapreeda, Suwat
    Delavari, Hadi
    Baleanu, Dumitru
    [J]. NONLINEAR DYNAMICS, 2013, 72 (1-2) : 301 - 309
  • [6] Granas A., 2005, FIXED POINT THEOR-RO
  • [7] Hilfer R., 2000, APPL FRACTIONAL CALC
  • [8] Kilbas A. A., 2006, N HOLLAND MATH STUDI, V204, DOI DOI 10.1016/S0304-0208(06)80001-0
  • [9] Krasnoselski MA., 1955, Uspekhi Matematicheskikh Nauk (NS), V10, P123
  • [10] The method of lower and upper solutions for mixed fractional four-point boundary value problem with p-Laplacian operator
    Liu, Xiping
    Jia, Mei
    Ge, Weigao
    [J]. APPLIED MATHEMATICS LETTERS, 2017, 65 : 56 - 62
123