TY - JOUR AU - Rostami, M. AU - Kianpour, M. AU - Bashardoust, E. PY - 2011 TI - A Numerical Algorithm for Solving Nonlinear Fuzzy Differential Equations JO - Journal of Mathematics and Computer Science SP - 667--671 VL - 2 IS - 4 AB - In this paper, we propose a numerical algorithm based on Runge-Kutta methods to and solution of nonlin- ear fuzzy differential equations (FDEs) such that it solution satisffes solution found via differential inclusions. Our interpretation of the FDEs is a family of fuzzy differential inclusions. The method is illustrated by some examples. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.02.04.11 DO - 10.22436/jmcs.02.04.11 ID - Rostami2011 ER - TY - JOUR TI - The golden mean, scale free extension of real number system, fuzzy sets and 1/f spectrum in physics and biology AU - D. P. Datta JO - Chaos Solitons Fractals PY - 2003 DA - 2003// VL - 17 ID - Datta2003 ER - TY - JOUR TI - From experimental quantum optics to quantum gravity via a fuzzy Kahler manifold AU - M. S. El Naschie JO - Chaos Solitons Fractals PY - 2005 DA - 2005// VL - 25 ID - Naschie2005 ER - TY - JOUR TI - Differentials of Fuzzy Functions AU - M. L. Puri AU - D. A. Ralescu JO - J. Math. Anal. Appl. PY - 1983 DA - 1983// VL - 91 ID - Puri1983 ER - TY - JOUR TI - Almost periodic fuzzy-number-valued functions AU - B. Bede AU - S. G. Gal JO - Fuzzy Sets and Systems PY - 2004 DA - 2004// VL - 147 ID - Bede2004 ER - TY - JOUR TI - Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential Equations AU - B. Bede AU - S. G. Gal JO - Fuzzy Sets and Systems PY - 2005 DA - 2005// VL - 151 ID - Bede2005 ER - TY - JOUR TI - On new solutions of fuzzy differential equations AU - Y. Chalco-Cano AU - H. Roman-Flores JO - Chaos Solitons Fractals PY - 2008 DA - 2008// VL - 38 ID - Chalco-Cano2008 ER - TY - JOUR TI - Comparation between some approaches to solve fuzzy differential equations AU - Y. Chalco-Cano AU - H. Roman-Flores JO - Fuzzy Sets and Systems PY - 2009 DA - 2009// VL - 160 ID - Chalco-Cano2009 ER - TY - BOOK TI - Fuzzy differential equation with generalized derivative AU - Y. Chalco-Cano AU - H. Roman-Flores AU - M. A. Rojas-Medar PB - 2008 Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS 2008) PY - 2008 DA - 2008// CY - New York ID - Chalco-Cano2008 ER - TY - JOUR TI - The existence of solution for the nonlinear first order fuzzy differential equations with iscontinuous conditions AU - Y. J. Cho AU - H. Y. Lan JO - Dynamics Continuous Discrete Inpulsive Systems Ser. A PY - 2007 DA - 2007// VL - 14 ID - Cho2007 ER - TY - JOUR TI - Brief note on the variation of constants formula for fuzzy differential equations AU - P. Diamond JO - Fuzzy Sets and Systems PY - 2002 DA - 2002// VL - 129 ID - Diamond2002 ER - TY - JOUR TI - Fuzzy differential equations AU - O. Kaleva JO - Fuzzy Sets and Systems PY - 1987 DA - 1987// VL - 24 ID - Kaleva 1987 ER - TY - JOUR TI - A note on fuzzy differential equations AU - O. Kaleva JO - Nonlinear Analysis PY - 2006 DA - 2006// VL - 64 ID - Kaleva 2006 ER - TY - BOOK TI - Theory of fuzzy differential equation and inclusions AU - V. lakshmikantham AU - R. N. Mohapatra PB - CRC press PY - 2003 DA - 2003// CY - London ID - lakshmikantham2003 ER - TY - JOUR TI - Linear first-order fuzzy differential equation AU - J. J. Niteo AU - R. Rodriguez-Lopez AU - D. Franco JO - International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems PY - 2006 DA - 2006// VL - 14 ID - Niteo2006 ER - TY - JOUR TI - Numerical Methods for Fuzzy Differential Inclusions AU - S. Abbasbandy AU - T. A. Viranloo AU - O. Lopez-Pouso AU - J. J. Niteo JO - Computers and Mathematics with Applications PY - 2004 DA - 2004// VL - 48 ID - Abbasbandy2004 ER - TY - JOUR TI - Fuzzy differential equations AU - J. J. Buckley AU - T. Feuring JO - Fuzzy Sets and Systems PY - 2000 DA - 2000// VL - 110 ID - Buckley2000 ER - TY - JOUR TI - Tuning of reachable set in one dimensional fuzzy differential inclusions AU - S. Abbasbandy AU - J. J. Nieto AU - M. Alavi JO - Chaos Solitons Fractals PY - 2005 DA - 2005// VL - 26 ID - Abbasbandy2005 ER -