A new method for solving fuzzy integro-differential equation under generalized differentiability

  title={A new method for solving fuzzy integro-differential equation under generalized differentiability},
  author={T. Allahviranloo and S. Abbasbandy and O. Sedaghatfar and P. Darabi},
  journal={Neural Computing and Applications},
  • T. Allahviranloo, S. Abbasbandy, +1 author P. Darabi
  • Published 2011
  • Mathematics, Computer Science
  • Neural Computing and Applications
  • In this paper, a new approach for solving fuzzy integro-differential equations (FIDEs) with fuzzy initial value is considered under strongly generalized H-differentiability. Notice the point that this method is used for fuzzy integro-differential equations with trapezoid fuzzy initial value. The idea of the presented approach is constructed based on the extending of 0-cut and 1-cut solutions of original FIDEs. The solution of FIDE will be found by considering convex combination of 0-cut and 1… CONTINUE READING
    42 Citations
    Fuzzy functional integro-differential equations under generalized H-differentiability
    • 28


    A New Approach for Solving First Order Fuzzy Differential Equation
    • 29
    Numerical solutions of fuzzy differential and integral equations
    • 262
    Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
    • 735
    Existence and Uniqueness of Solutions of Fuzzy Volterra Integro-differential Equations
    • 29
    Fuzzy differential equations
    • 1,127
    Fuzzy linear systems
    • 451
    Fuzzy Random Variables
    • 1,513
    • PDF