Document Type : Research Paper


Department of Mathematics, Science and Research Branch, Islamic Azad University,Tehran, 14778, Iran


Adomian decomposition method has been applied to solve many functional equations so far. In this article, we have used this method to solve the fuzzy differential equation under generalized differentiability. We interpret a fuzzy differential equation by using the strongly generalized differentiability. Also one concrete application for ordinary fuzzy differential equation with fuzzy input data are given.


Main Subjects

[1] Zadeh, L., Toward a generalized theory of uncertainty (GTU)-an outline, Information Sciences 172, 1-40, 2005.
 [2] Bede, B., and Gal, S.G., Almost periodic fuzzy- number-valued functions, Fuzzy 147, 385-403, 2004.
[3] Bede, B., and Gal, S. G., Generalizations of the differentiability of fuzzy- with applications to fuzzy differential equations, Fuzzy 151, 581-599, 2005.
[4] Dubois, D., and Prade, H., Fuzzy numbers: an overview, in: J. Bezdek (Ed.), Analysis of Fuzzy Information, CRC Press, 112-148, 1987.
[5] Wu, C., and Gong, Z., On Henstock. integral of fuzzy number-valued functions, I, Fuzzy sets and systems 120, 523-532, 2001.
[6] Gal, S. G., Approximation theory in fuzzy setting, in: G.A. Annastassiou (Ed.), Handbook of Analytic. Computational Methods in Applied Mathematics, chapman & Hall/CRC press, 617-666, 2000.
[7] Chalco-Cano, Y., Roman-Flores, on new solutions of fuzzy differential equations, Chaos Solutions and Fractals, In press, 2006.
[8] Puri, M., and Ralescu, D., Differentials of fuzzy functions, Journal of Mathematical Analysis and Applications 91, 552-558, 1983.