A New Approach to Non-Homogeneous Fuzzy Initial Value Problem


Gasilov N. A. , Hashimoglu I. F. , Amrahov S. E. , Fatullayev A. G.

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, cilt.85, ss.367-378, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 85 Konu: 4
  • Basım Tarihi: 2012
  • Dergi Adı: CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
  • Sayfa Sayıları: ss.367-378

Özet

In this paper, we consider a high-order linear differential equation with fuzzy forcing function and with fuzzy initial values. We assume the forcing function be in a special form, which we call triangular fuzzy function. We present solution as a fuzzy set of real functions such that each real function satisfies the initial value problem by some membership degree. We propose a method to find the fuzzy solution. We present an example to illustrate applicability of the proposed method.