An approach to a fuzzy problem using the fuzzy Laplace transform under the generalized differentiability
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DOI:
https://doi.org/10.26637/MJM0801/0015Abstract
In this paper, the solutions of a second-order fuzzy initial value problem are studied by the fuzzy Laplace transform under the generalized differentiability. An example is solved. Finally, conclusions are given.
Keywords:
Second-order fuzzy differential equation, Fuzzy initial value problem, Fuzzy Laplace transformMathematics Subject Classification:
Mathematics- Pages: 82-88
- Date Published: 01-01-2020
- Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)
J. J. Buckley, T. Feuring, Fuzzy differential equations, Fuzzy Sets and Systems, 110(1)(2000), 43-54.
O. Kaleva, Fuzzy differential equations, Fuzzy Sets and Systems, 24(3) (1987), 301-317.
H. Gültekin, N. Altınışık, On solution of two-point fuzzy boundary value problems, The Bulletin of Society for Mathematical Services and Standards, 11(2014), 31-39.
A. Khastan, J. J. Nieto, A boundary value problem for second order fuzzy differential equations, Nonlinear Analysis, 72(9-10) (2010), 3583-3593.
B. Bede, S. G. Gal, Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations, Fuzzy Sets and Systems, 151(3)(2005), 581-599.
B. Bede, I. J. Rudas, A. L. Bencsik, First order linear fuzzy differential equations under generalized differentiability, Information Sciences, 177(7)(2007), 1648-1662.
A. Khastan, F. Bahrami, K. Ivaz, New results on multiple solutions for nth-order fuzzy differential equations under generalized differentiability, Boundary Value Problems, (2009), 1-13.
H. GültekinÇitil, The relationship between the solutions according to the noniterative method and the generalized differentiability of the fuzzy boundary value problem, Malaya Journal of Matematik, 6(4) (2018), 781-787.
M. Oberguggenberger, S. Pittschmann, Differential equations with fuzzy parameters, Mathematical and Computer Modelling of Dynamical Systems, 5(3)(1999), 181-202.
T. Allahviranloo, M. Barkhordari Ahmadi, Fuzzy Laplace transforms, Soft Computing, 14(3)(2010), 235-243.
S. Salahshour, T. Allahviranloo, Applications of fuzzy Laplace transforms, Soft Computing, 17(1)(2013), 145158.
K. R. Patel, N. B. Desai, Solution of variable coefficient fuzzy differential equations by fuzzy Laplace transform, International Journal on Recent and Innovation Trends in Computing and Communication, 5(6)(2017), 927-942.
K. R. Patel, N. B. Desai, Solution of fuzzy initial value problems by fuzzy Laplace transform, Kalpa Publications in Computing, 2(2017), 25-37.
H.-K. Liu, Comparison results of two-point fuzzy boundary value problems, International Journal of Computational and Mathematical Sciences, 5(1)(2011), 1-7.
M. L. Puri, D. A. Ralescu, Differentials of fuzzy functions, Journal of Mathematical Analysis and Applications, $91(2)(1983), 552-558$.
B. Bede, Note on "Numerical solutions of fuzzy differential equations by predictor-corrector method", Information Sciences, 178(7)(2008), 1917-1922.
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