Existence Results for a Class of Fractional Differential Beam Type Equations

被引：0
|
作者：
Bachar, Imed [1 ]
Eltayeb, Hassan [1 ]
Mesloub, Said [1 ]
机构：
[1] King Saud Univ, Coll Sci, Math Dept, POB 2455, Riyadh 11451, Saudi Arabia
来源：
AXIOMS | 2023年 / 12卷 / 10期
关键词：
fractional beam type equations; existence results; Green's function; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; ITERATIVE METHOD; UNIQUENESS;
D O I：
10.3390/axioms12100939
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Fractional differential beam type equations are considered. By using an efficient approach, we prove the existence and uniqueness of continuous solutions. An iterative scheme for approximating the solution is given. Some examples are presented.
引用
收藏
页数：9
相关论文
共 50 条
  • [31] Existence and Uniqueness Results for a Fractional Differential Equations with Nonlocal Boundary Conditions
    Verma, Sachin Kumar
    Vats, Ramesh Kumar
    Nain, Ankit Kumar
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
  • [32] Existence and multiplicity results for a class of fractional differential inclusions with boundary conditions
    Zhang, Peng
    Gong, Yanping
    BOUNDARY VALUE PROBLEMS, 2012,
  • [33] Existence of solution to a class of boundary value problem for impulsive fractional differential equations
    Zhou, Wen-Xue
    Liu, Xu
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [34] On the existence of blow up solutions for a class of fractional differential equations
    Bai, Zhanbing
    Chen, YangQuan
    Lian, Hairong
    Sun, Sujing
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (04) : 1175 - 1187
  • [35] Existence results for a class of nonlinear singular p-Laplacian Hadamard fractional differential equations
    Guo, Limin
    Wang, Weihua
    Li, Cheng
    Zhao, Jingbo
    Min, Dandan
    ELECTRONIC RESEARCH ARCHIVE, 2024, 32 (02): : 928 - 944
  • [36] Existence and uniqueness results for a coupled system of nonlinear fractional differential equations with two fractional orders
    Houas, Mohamed
    Saadi, Abdelkader
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2020, 23 (06) : 1047 - 1064
  • [37] Existence and Ulam-Hyers Stability Results for a Class of Fractional Integro-Differential Equations Involving Nonlocal Fractional Integro-Differential Boundary Conditions
    Haddouchi, Faouzi
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42
  • [38] EXISTENCE AND STABILITY RESULTS OF FRACTIONAL DIFFERENTIAL EQUATIONS MITTAG-LEFFLER KERNEL
    Abbas, Ahsan
    Mehmood, Nayyar
    Akgul, Ali
    Amacha, Inas
    Abdeljawad, Thabet
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2024, 32 (07N08)
  • [39] Existence and Uniqueness Results for a Coupled System of Nonlinear Hadamard Fractional Differential Equations
    Rao, Sabbavarapu Nageswara
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2024, 22
  • [40] Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations
    Wang, Guotao
    Agarwal, Ravi P.
    Cabada, Alberto
    APPLIED MATHEMATICS LETTERS, 2012, 25 (06) : 1019 - 1024
12345