تعداد نشریات | 27 |
تعداد شمارهها | 364 |
تعداد مقالات | 3,223 |
تعداد مشاهده مقاله | 4,740,956 |
تعداد دریافت فایل اصل مقاله | 3,238,381 |
Differential transformation method for solving hybrid fuzzy differential equations | ||
Journal of Hyperstructures | ||
دوره 5، شماره 1، شهریور 2016، صفحه 69-83 اصل مقاله (125.38 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22098/jhs.2016.2655 | ||
نویسندگان | ||
Bahman Ghazanfari* ؛ Parvin Ebrahimi | ||
Department of Mathematics, Lorestan University, P.O.Box 68137-17133, Khorramabad, Iran | ||
چکیده | ||
In this paper, Differential Transformation Method (DTM) was studied for solving Hybrid Fuzzy Differential Equations (HFDEs). The proposed method was also illustrated by some examples and the error comparison was made using Runge-Kutta method of order 4 (RK4). | ||
کلیدواژهها | ||
Hybrid systems, Fuzzy differential equations, Seikkala derivative؛ Differential Transformation method | ||
مراجع | ||
[1] V. Lakshmikantham, X. Z. Liu, Impulsive hybrid systems and stability theory,Internat. J. Nonlinear Differential Equation 5 (1999) 9–17. [2] V. Lakshmikantham, R. N. Mohapatra, Theory of fuzzy Differential Equations and Inclusions, Taylor and Francis, United Kingdom, 2003. [3] M. Sambandham, Perturbed Lyapunov-like functions and hybrid fuzzy differential equations, Internat. J. Hybrid syst.2(2002) 23–34. [4] S.L. Chang, L. A. Zadeh, On fuzzy mapping and control, IEEE Trans, Systems Man Cybernet. 2 (1972) 30–34. [5] D. Dubois, H. Prade, Toward fuzzy differential calculus: Part 3, differentiation,Fuzzy Sets Syst.8 (1982) 225–233. [6] O.S. Fard, A numerical scheme for fuzzy cauchy problems, J. Uncertain Syst. 3(2009) 307–314. [7] S. Abbasbandy, T. Allah viranloo, Numerical solution of fuzzy differential equation by Taylor method, Computational Methods in Applied Mathematics,2(2)(2002) 113–124. [8] B. Ghazanfari, A. Shakerami, Numerical solutions of fuzzy differential equa-tions by extended RungeKutta-like formulae of order 4, Fuzzy Sets Syst. 189 (2011)7491. [9] S. Pederson, M. Sambandham, The Runge-Kutta method for hybrid fuzzy differ-ential equations, Nonlinear Analysis: Hybrid Systems 2 (2008) 626–634. [10] S. Pederson, M. Sambandham, Numerical solution to hybrid fuzzy systems, Math. Comp. Model. 45(2007)1133–1144. [11] P. Prakash, V. Kalaiselvi, Numerical solution of hybrid fuzzy differential equa-tions by predictor-corrector method, Int. J. Comp. Math. 86(1)(2009) 121–134. [12] A. Khastan, K. Ivaz, Numerical solution of hybrid fuzzy differential equations by Nystr¨om method, Chaos, Solutions Fract.41(2009) 859-868. [13] C. K. Chen, S. H. Ho, Solving partial differential equations by two-dimensional differential transform method, Appl. Math. Comput. 106(1999) 171-179. [14] M. J. Jang, C. L. Chen , Y. C. Liu, Two-dimensional differential transform for partial differential equations, Appl. Math. Comput.121(2001) 261-270. [15] S. Haq, A. Hussain, S. Islam, Solutions of Coupled Burger’s, Fifth-Order KdV and Kawahara Equations Using Differential Transform Method with PadApproximant, Selcuk J. Appl. Math. 1 (2010) 43–62. [16] M. Merdan, A New Application of Modified Differential Transformation Method for Modelling the Pollution of a System of Lakes, Selcuk J. Appl. Math.2 (2010) 27–40. [17] H.A. Peker, O. Karao˘glu, Solution of a Kind of Evolution Equation by the Dif-ferential Transformation and Adomian Decomposition Methods, Selcuk J. Appl.Math. Special Issue (2010) 19–25. [18] A. Taghavi, A. Babaei, A. Mohammadpour, Analytical approximation solution of a mathematical modeling of reaction-diffusion Brusselator system by reduced differential transform method, Journal of Hyperstructures,3 (2)(2014) 116–125. [19] S. Seikkala, On the fuzzy initial value problem, Fuzzy Sets Syst.24 (1987) 319–330. [20] J. J. Buckley, T. Feuring,Fuzzy differential equations, Fuzzy Sets Syst.110 (2000)43–54. [21] T. Allahviranloo, N. A. Kiani, N. Motamedi, Solving fuzzy differential equations by differential transformation method, Information Sciences 170 (2009) 956–966. [22] O. Kaleva, Fuzzy differential equations, Fuzzy Sets Syst. 24 (1987) 301–317. | ||
آمار تعداد مشاهده مقاله: 55 تعداد دریافت فایل اصل مقاله: 49 |