Toward the existence and uniqueness of solutions of second-order fuzzy volterra integro-differential equations with fuzzy kernel

被引：0
|
作者：
T. Allahviranloo
M. Khezerloo
O. Sedaghatfar
S. Salahshour
机构：
[1] Islamic Azad University,Department of Mathematics, Science and Research Branch
[2] Islamic Azad University,Department of Mathematics, Mobarakeh Branch
来源：
Neural Computing and Applications | 2013年 / 22卷
关键词：
Second-order fuzzy; Volterra integro-differential equations; Fuzzy valued functions; Continuous solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study existence and uniqueness of solutions of second-order fuzzy integro-differential equations with fuzzy kernel under strongly generalized differentiability. To this end, four cases are considered to show the existence of the fuzzy solution mentioned equation. Some theorems are proved, and the uniqueness of the fuzzy solution is discussed step by step. Finally, the illustrated examples are solved to investigate the conditions of theorems.
引用
收藏
页码：133 / 141
页数：8
相关论文
共 50 条
  • [1] Toward the existence and uniqueness of solutions of second-order fuzzy volterra integro-differential equations with fuzzy kernel
    Allahviranloo, T.
    Khezerloo, M.
    Sedaghatfar, O.
    Salahshour, S.
    NEURAL COMPUTING & APPLICATIONS, 2013, 22 : S133 - S141
  • [2] Existence and Uniqueness of Solutions of Fuzzy Volterra Integro-differential Equations
    Hajighasemi, S.
    Allahviranloo, T.
    Khezerloo, M.
    Khorasany, M.
    Salahshour, S.
    INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS: APPLICATIONS, PT II, 2010, 81 : 491 - +
  • [3] Toward the existence and uniqueness of solutions of second-order fuzzy differential equations
    Allahviranloo, T.
    Kiani, N. A.
    Barkhordari, M.
    INFORMATION SCIENCES, 2009, 179 (08) : 1207 - 1215
  • [4] Existence and uniqueness of fuzzy solutions for the nonlinear second-order fuzzy Volterra integrodifferential equations
    Momani, Shaher
    Abu Arqub, Omar
    Al-Mezel, Saleh
    Kutbi, Marwan
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (02) : 213 - 227
  • [5] Existence of global solutions to nonlinear fuzzy Volterra integro-differential equations
    Alikhani, Robab
    Bahrami, Fariba
    Jabbari, Adel
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 1810 - 1821
  • [6] Application of reproducing kernel Hilbert space method for solving second-order fuzzy Volterra integro-differential equations
    Gumah, Ghaleb N.
    Naser, Mohammad F. M.
    Al-Smadi, Mohammed
    Al-Omari, Shrideh K.
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [7] Application of reproducing kernel Hilbert space method for solving second-order fuzzy Volterra integro-differential equations
    Ghaleb N. Gumah
    Mohammad F. M. Naser
    Mohammed Al-Smadi
    Shrideh K. Al-Omari
    Advances in Difference Equations, 2018
  • [8] Existence results for some damped second-order Volterra integro-differential equations
    Diagana, Toka
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 237 : 304 - 317
  • [9] Solving fuzzy second-order nonlinear Volterra–Fredholm integro-differential equations by using Picard method
    Sh. S. Behzadi
    T. Allahviranloo
    S. Abbasbandy
    Neural Computing and Applications, 2012, 21 : 337 - 346
  • [10] FUZZY COLLOCATION METHODS FOR SECOND- ORDER FUZZY ABEL-VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
    Behzadi, S. S.
    Allahviranloo, T.
    Abbasbandy, S.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2014, 11 (02): : 71 - 88
12345