A new class of fractional boundary value problems

被引：1
|
作者：
Ahmad, Bashir [1 ]
Alsaedi, Ahmed [1 ]
Assolami, Afrah [1 ]
Agarwal, Ravi P. [1 ,2 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[2] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
fractional differential equations; nonlocal boundary conditions; fixed point theorems; POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I：
10.1186/1687-1847-2013-373
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a fractional boundary value problem with a new boundary condition is studied. This new boundary condition relates the nonlocal value of the unknown function at xi with its influence due to a sub-strip (eta, 1), where 0 < xi < eta < 1. The main results are obtained with the aid of some classical fixed point theorems and Leray-Schauder nonlinear alternative. A demonstration of applications of these results is also given.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] A new class of fractional boundary value problems
    Bashir Ahmad
    Ahmed Alsaedi
    Afrah Assolami
    Ravi P Agarwal
    Advances in Difference Equations, 2013
  • [2] On a New Class of Antiperiodic Fractional Boundary Value Problems
    Ahmad, Bashir
    Nieto, Juan J.
    Alsaedi, Ahmed
    Mohamad, Nadia
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [3] On the existence and uniqueness of solutions to a new class of fractional boundary value problems
    Neamaty, Abdolali
    Yadollahzadeh, Milad
    Darzi, Rahmat
    Agheli, Bahram
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2016, 93 (09) : 1611 - 1627
  • [4] Multiplicity results for a class of fractional boundary value problems
    Nyamoradi, Nemat
    ANNALES POLONICI MATHEMATICI, 2013, 109 (01) : 59 - 73
  • [5] Positive solutions for a class of fractional boundary value problems
    Xu, Jiafa
    Wei, Zhongli
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2016, 21 (01): : 1 - 17
  • [6] Multiple Solutions for a Class of Fractional Boundary Value Problems
    Bin, Ge
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [7] Existence Results for a New Class of Boundary Value Problems of Nonlinear Fractional Differential Equations
    Alvan, Meysam
    Darzi, Rahmat
    Mahmoodi, Amin
    MATHEMATICS, 2016, 4 (01):
  • [8] New Results for a Class of Boundary Value Problems Involving Impulsive Fractional Differential Equations
    Zheng, Feng-Xia
    FILOMAT, 2020, 34 (03) : 707 - 725
  • [9] Collocation Based Approximations for a Class of Fractional Boundary Value Problems
    Soots, Hanna Britt
    Latt, Kaido
    Pedas, Arvet
    MATHEMATICAL MODELLING AND ANALYSIS, 2023, 28 (02) : 218 - 236
  • [10] On a class of boundary value problems under ABC fractional derivative
    Gul, Rozi
    Shah, Kamal
    Khan, Zareen A.
    Jarad, Fahd
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
12345