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
  • [1] Existence results for BVP of a class of Hilfer fractional differential equations
    Zhuoyan Gao
    Xiulan Yu
    Journal of Applied Mathematics and Computing, 2018, 56 : 217 - 233
  • [2] Existence results for BVP of a class of Hilfer fractional differential equations
    Gao, Zhuoyan
    Yu, Xiulan
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 56 (1-2) : 217 - 233
  • [3] Stability and existence results for a class of nonlinear fractional differential equations with singularity
    Alkhazzan, Abdulwasea
    Jiang, Peng
    Baleanu, Dumitru
    Khan, Hasib
    Khan, Aziz
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (18) : 9321 - 9334
  • [4] Existence results for a general class of sequential hybrid fractional differential equations
    Khan, Rahmat Ali
    Gul, Shaista
    Jarad, Fahd
    Khan, Hasib
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [5] Existence and uniqueness results for a class of BVPs for nonlinear fractional differential equations
    Foukrach, Djamal
    Moussaoui, Tou K.
    Ntouyas, Sotiris K.
    GEORGIAN MATHEMATICAL JOURNAL, 2015, 22 (01) : 45 - 55
  • [6] Some Existence and Uniqueness Results for a Class of Fractional Stochastic Differential Equations
    Kahouli, Omar
    Ben Makhlouf, Abdellatif
    Mchiri, Lassaad
    Kumar, Pushpendra
    Ben Ali, Naim
    Aloui, Ali
    SYMMETRY-BASEL, 2022, 14 (11):
  • [7] Existence and uniqueness results for a class of fractional stochastic neutral differential equations
    Ahmadova, Arzu
    Mahmudov, Nazim, I
    CHAOS SOLITONS & FRACTALS, 2020, 139 (139)
  • [8] Existence results for a general class of sequential hybrid fractional differential equations
    Rahmat Ali Khan
    Shaista Gul
    Fahd Jarad
    Hasib Khan
    Advances in Difference Equations, 2021
  • [9] Existence results for a class of boundary value problems for fractional differential equations
    Dogan, Abdulkadir
    TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (03) : 1149 - 1165
  • [10] Existence and Uniqueness Results for a Class of Fractional Differential Equations with an Integral Fractional Boundary Condition
    Ahmadkhanlu, Asghar
    FILOMAT, 2017, 31 (05) : 1241 - 1249