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Fuzzy Optimization and Decision Making

Erschienen in:

29.11.2018

Numerical solution of linear inhomogeneous fuzzy delay differential equations

verfasst von: A. G. Fatullayev, Nizami A. Gasilov, Şahin Emrah Amrahov

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 3/2019

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Abstract

We investigate inhomogeneous fuzzy delay differential equation (FDDE) in which initial function and source function are fuzzy. We assume these functions be in a special form, which we call triangular fuzzy function. We define solution as a fuzzy bunch of real functions such that each real function satisfies the equation with certain membership degree. We develop an algorithm to find the solution, and we provide the existence and uniqueness results for the considered FDDE. We also present an example to show the applicability of the proposed algorithm.

Vorheriger Artikel Applying the concept of null set to solve the fuzzy optimization problems

Nächster Artikel On a class of fuzzy parametric variational inequality controlled differential equation problems in finite dimension spaces

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Amrahov, Ş. E., Khastan, A., Gasilov, N., & Fatullayev, A. G. (2016). Relationship between Bede–Gal differentiable set-valued functions and their associated support functions. Fuzzy Sets and Systems, 295, 57–71.MathSciNetCrossRefMATH

Azbelev, N. V., Maksimov, V. P., & Rakhmatullina, L. F. (2007). Introduction to the theory of functional differential equations: Methods and applications. Cairo: Hindawi Pub. Co.CrossRefMATH

Balasubramaniam, P., & Muralisankar, S. (2001). Existence and uniqueness of a fuzzy solution for the nonlinear fuzzy neutral functional differential equation. Computers & Mathematics with Applications, 42(6–7), 961–967.MathSciNetCrossRefMATH

Barzinji, K., Maan, N., & Aris, N. (2014). Linear fuzzy delay differential system: Analysis on stability of steady state. Matematika, 30(1a), 1–7.MathSciNet

Donchev, T., & Nosheen, A. (2013). Fuzzy functional differential equations under dissipative-type conditions. Ukrainian Mathematical Journal, 65(6), 873–883.MathSciNetCrossRefMATH

Epstein, I. R., & Luo, Y. (1991). Differential delay equations in chemical kinetics. Nonlinear models: The cross-shaped phase diagram and the Oregonator. The Journal of Chemical Physics, 95(1), 244–254.CrossRef

Gasilov, N. A., & Amrahov, Ş. E. (2018). Solving a nonhomogeneous linear system of interval differential equations. Soft Computing, 22(12), 3817–3828.CrossRefMATH

Gasilov, N. A., Amrahov, Ş. E., Fatullayev, A. G., & Hashimoglu, I. F. (2015). Solution method for a boundary value problem with fuzzy forcing function. Information Sciences, 317, 349–368.MathSciNetCrossRefMATH

Gasilov, N. A., Hashimoglu, I. F., Amrahov, Ş. E., & Fatullayev, A. G. (2012). A new approach to non-homogeneous fuzzy initial value problem. CMES: Computer Modeling in Engineering & Sciences, 85(4), 367–378.MathSciNetMATH

Guo, M., Peng, X., & Xu, Y. (2012). Oscillation property for fuzzy delay differential equations. Fuzzy Sets and Systems, 200, 25–35.MathSciNetCrossRefMATH

Hale, J. K. (1997). Theory of Functional Differential Equations. New York: Springer.

Hoa, N. V., Tri, P. V., Dao, T. T., & Zelinka, I. (2015). Some global existence results and stability theorem for fuzzy functional differential equations. Journal of Intelligent & Fuzzy Systems, 28(1), 393–409.MathSciNetMATH

Hüllermeier, E. (1997). An approach to modeling and simulation of uncertain dynamical systems. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 5, 117–137.MathSciNetCrossRefMATH

Jafelice, R. M., Barros, L. C., & Bassanezi, R. C. (2009). A fuzzy delay differential equation model for HIV dynamics. In Proceedings of the IFSA/EUSFLAT conference (pp. 265–270).

Jiang, C., & Zhou, D. H. (2005). Fault detection and identification for uncertain linear time-delay systems. Computers & Chemical Engineering, 30(2), 228–242.CrossRef

Khastan, A., Nieto, J. J., & Rodríguez-López, R. (2014). Fuzzy delay differential equations under generalized differentiability. Information Sciences, 275, 145–167.MathSciNetCrossRefMATH

Kuang, Y. (1993). Delay differential equations with applications in population dynamics. Boston: Academic Press.MATH

Lupulescu, V., & Abbas, U. (2012). Fuzzy delay differential equations. Fuzzy Optimization and Decision Making, 11(1), 99–111.MathSciNetCrossRefMATH

Malinowski, M. T. (2012). Itô type stochastic fuzzy differential equations with delay. Systems & Control Letters, 61(6), 692–701.MathSciNetCrossRefMATH

Min, C., Huang, N.-J., & Zhang, L.-H. (2014). Existence of local and global solutions of fuzzy delay differential inclusions. Advances in Difference Equations. https://doi.org/10.1186/1687-1847-2014-108.

Park, J. Y., & Jeong, J. U. (2013). On random fuzzy functional differential equations. Fuzzy Sets and Systems, 223, 89–99.MathSciNetCrossRefMATH

Roussel, M. R. (1996). The use of delay differential equations in chemical kinetics. The Journal of Physical Chemistry, 100(20), 8323–8330.CrossRef

Shao, Y. B., Zhang, H. H., & Xue, G. L. (2014). Existence of solutions for the fuzzy functional differential equations. In B. -Y. Cao, & H. Nasseri (Eds.), Fuzzy information and engineering and operations research and management (pp. 215–227). Heidelberg: Springer.

Tri, P. V., Hoa, N. V., & Phu, N. D. (2014). Sheaf fuzzy problems for functional differential equations. Advances in Difference Equations. https://doi.org/10.1186/1687-1847-2014-156.

Vu, H., & Hoa, N. V. (2016). On impulsive fuzzy functional differential equations. Iranian Journal of Fuzzy Systems, 13(4), 79–94.MathSciNetMATH

Titel: Numerical solution of linear inhomogeneous fuzzy delay differential equations
verfasst von: A. G. Fatullayev
Nizami A. Gasilov
Şahin Emrah Amrahov
Publikationsdatum: 29.11.2018
Verlag: Springer US
Erschienen in: Fuzzy Optimization and Decision Making / Ausgabe 3/2019
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-018-9296-1

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