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
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
  • [21] Existence results for fractional differential equations with integral and multi-point boundary conditions
    Wang, Youyu
    Liang, Shuilian
    Wang, Qichao
    BOUNDARY VALUE PROBLEMS, 2018,
  • [22] Existence results for fractional functional differential equations with impulses
    Haihua Wang
    Journal of Applied Mathematics and Computing, 2012, 38 (1-2) : 85 - 101
  • [23] Some Existence Results on Implicit Fractional Differential Equations
    Kharat, V. V.
    Tate, Shivaji
    Reshimkar, A. R.
    FILOMAT, 2021, 35 (12) : 4257 - 4265
  • [24] Existence Results for Solutions of Nonlinear Fractional Differential Equations
    Yakar, Ali
    Koksal, Mehmet Emir
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [25] Existence results for fractional functional differential equations with impulses
    Wang, Haihua
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2012, 38 (1-2) : 85 - 101
  • [26] EXISTENCE RESULTS FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL ORDER AND IMPULSES
    Agarwal, Ravi P.
    Benchohra, Mouffak
    Slimani, Boualem Attou
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2008, 44 : 1 - 21
  • [27] Some existence results on nonlinear fractional differential equations
    Baleanu, Dumitru
    Rezapour, Shahram
    Mohammadi, Hakimeh
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2013, 371 (1990):
  • [28] New Existence and Uniqueness Results for Fractional Differential Equations
    Anber, Ahmed
    Belarbi, Soumia
    Dahmani, Zoubir
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2013, 21 (03): : 33 - 41
  • [29] EXISTENCE RESULTS FOR BOUNDARY VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
    Sun, Yan
    Yan, Kai
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2020, 22 (01): : 1 - 21
  • [30] SOME EXISTENCE AND UNIQUENESS RESULTS FOR NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
    Marasi, H. R.
    Afshari, H.
    Zhai, C. B.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2017, 47 (02) : 571 - 585