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
  • [21] Positive solutions for a class of conformable fractional boundary value problems
    Bachar, Imed
    Eltayeb, Hassan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020,
  • [22] Existence results for a class of generalized fractional boundary value problems
    Cao, Wen
    Xu, Y.
    Zheng, Zhoushun
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [23] ON GENERALIZED BOUNDARY VALUE PROBLEMS FOR A CLASS OF FRACTIONAL DIFFERENTIAL INCLUSIONS
    Benedetti, Irene
    Obukhovskii, Valeri
    Taddei, Valentina
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2017, 20 (06) : 1424 - 1446
  • [24] Uniqueness of positive solutions for a class of fractional boundary value problems
    Xu, Jiafa
    Wei, Zhongli
    Dong, Wei
    APPLIED MATHEMATICS LETTERS, 2012, 25 (03) : 590 - 593
  • [25] Fractional boundary value problems
    Mirko D’Ovidio
    Fractional Calculus and Applied Analysis, 2022, 25 : 29 - 59
  • [26] Fractional boundary value problems
    D'Ovidio, Mirko
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2022, 25 (01) : 29 - 59
  • [27] ON THE EXISTENCE AND UNIQUENESS OF SOLUTION FOR A CLASS OF FRACTIONAL ORDER BOUNDARY VALUE PROBLEMS
    Babakhani, Azizollah
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2014, 5 (01): : 50 - 58
  • [28] The existence of solutions to a class of boundary value problems with fractional difference equations
    Pan, Yuanyuan
    Han, Zhenlai
    Sun, Shurong
    Hou, Chuanxia
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [29] Two Solutions for a Class of Fractional Boundary Value Problems with Mixed Nonlinearities
    Zhang, Ziheng
    Yu, Rong
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (03) : 1233 - 1247
  • [30] On existence and uniqueness of positive solutions to a class of fractional boundary value problems
    Caballero, J.
    Harjani, J.
    Sadarangani, K.
    BOUNDARY VALUE PROBLEMS, 2011, : 1 - 9
12345