Boundary value problems for nonlinear fractional integro-differential equations: theoretical and numerical results

被引：0
|
作者：
Qasem M Al-Mdallal
机构：
[1] United Arab Emirates University,Department of Mathematical Sciences
来源：
Advances in Difference Equations | / 2012卷
关键词：
nonlinear fractional integro-differential equations; monotone iterative method; lower and upper solutions.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This article is devoted to both the theoretical and numerical study of boundary-value problems for nonlinear fractional integro-differential equations. Positivity and uniqueness results for the problem are provided and proved. Two monotone sequences of upper and lower solutions which converge uniformly to the unique solution of the problem are constructed using the method of lower and upper solutions. Sufficient numerical examples are discussed to corroborate the theory presented herein.
引用
收藏
相关论文
共 50 条
  • [41] The control of boundary value problems for quasilinear impulsive integro-differential equations
    Akhmetov, MU
    Zafer, A
    Sejilova, RD
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 48 (02) : 271 - 286
  • [42] Periodic boundary value problems for integro-differential equations in Banach spaces
    Zhang, XF
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2004, 35 (10): : 1223 - 1234
  • [43] MULTIPLE SOLUTIONS OF NONLINEAR FRACTIONAL IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS
    Wang, Xuhuan
    Lu, Liang
    Liang, Jitai
    MATHEMATICA SLOVACA, 2016, 66 (05) : 1105 - 1114
  • [44] Solving Singular Initial Value Problems of Nonlinear Integro-Differential Equations
    Liu, Huanan
    Zhou, Yongfang
    INTERNATIONAL JOINT CONFERENCE ON APPLIED MATHEMATICS, STATISTICS AND PUBLIC ADMINISTRATION (AMSPA 2014), 2014, : 10 - 15
  • [45] Initial and boundary value problem of fuzzy fractional-order nonlinear Volterra integro-differential equations
    K. Agilan
    V. Parthiban
    Journal of Applied Mathematics and Computing, 2023, 69 : 1765 - 1793
  • [46] Initial and boundary value problem of fuzzy fractional-order nonlinear Volterra integro-differential equations
    Agilan, K.
    Parthiban, V
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (02) : 1765 - 1793
  • [47] Multiple positive solutions of boundary value problems for fractional order integro-differential equations in a Banach space
    Liu, Ruijuan
    Kou, Chunhai
    Jin, Ran
    BOUNDARY VALUE PROBLEMS, 2013,
  • [48] Non-local boundary value problems for impulsive fractional integro-differential equations in Banach spaces
    Ergoren, Hilmi
    Kilicman, Adem
    BOUNDARY VALUE PROBLEMS, 2012, : 1 - 15
  • [49] Boundary value problems of Hilfer-type fractional integro-differential equations and inclusions with nonlocal integro-multipoint boundary conditions
    Nuchpong, Cholticha
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    OPEN MATHEMATICS, 2020, 18 : 1879 - 1894
  • [50] Periodic boundary value problems for fractional semilinear integro-differential equations with non-instantaneous impulses
    Zhu, Bo
    Liu, Lishan
    BOUNDARY VALUE PROBLEMS, 2018,
12345