Numerical Solution of Fuzzy Delay Functional Differential Equations by Euler Method
DOI:
https://doi.org/10.5890/JAND.2015.03.002Abstract
In this paper, we study the numerical solution of fuzzy delay functional differential equations by using Euler method. Examples are presented to illustrate the computational aspects of the above method.References
[1] Abbasbandy, S. and AllahViranloo, T. (2002), Numerical solution of fuzzy differential equations by Taylor method, Journal of Computational Methods in Applied Mathematics, 2, 113-124.
[2] Abbasbandy, S. and AllahViranloo, T. (2004), Numerical solution of fuzzy differential equations by Runge- Kutta method, Nonlinear Studies, 11, 117-129.
[3] Palligkinis, S.Ch., Papageorgiou, G., and Famelis, I.Th. (2009), Runge-Kutta methods for fuzzy differential equations, Applied Mathematics and Computation, 209, 97-105.
[4] Bede, B. (2008), Note on "Numerical solutions of fuzzy differential equations by predictor-corrector method", Information Sciences, 178, 1917-1922.
[5] Pederson, S. and Sambandham, M. The Runge-Kutta method for hybrid fuzzy differential equations, Nonlinear Analysis: Hybrid Systems, 2, 626-634.
[6] Pederson, S. and Sambandham, M. (2009), Numerical solutions of hybrid fuzzy differential equation IVPs by a characterization theorem, Information Sciences, 179, 319-328.
[7] P.Prakash and V.Kalaiselvi, Numerical Solutions of hybrid fuzzy differential equations by Predictor- Corrector Method, International Journal of Computer Mathematics, 86 (2009) 121-134.
[8] Prakash, P., Nieto, J.J., Kim, J.H. and Rodriguez-Lopez, R. (2005), Existence of solutions of fuzzy neutral differential equations in Banach spaces, Dynamic Systems and Applications, 14, 407-418.
[9] Prakash, P. and Kalaiselvi, V. (2012), Numerical solutions of fuzzy differential equations by using Hybrid methods, Journal of Fuzzy Information and Engineering, 4(4), 445-455.
[10] Khastan, A., Nieto, J.J., and Rodrguez-Lpez, R. Fuzzy delay differential equations under generalized differentiability, Information Sciences, (to appear).
[11] Lakshmikantham, V. and Mohapatra, R.N. (2003), Theory of Fuzzy Differential Equations and Inclusions, Taylor and Francis Publishers, London.
[12] Lupulescu, V. (2009), On a class of fuzzy functional differential equations, Fuzzy Sets and Systems, 160, 1547-1562.
[13] Ma, M., Friedman, M., and Kandel, A. (1999), Numerical solutions of fuzzy differential equations, Fuzzy Sets and Systems, 105, 133-138.
Article Metrics
Usage tracking begins September 1, 2026.