جواب های جدید برای معادلۀ تفاضل فازی B/x_n + A = x_(n+1)
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.PUBLICATION, DISTRIBUTION, ETC
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ریاضی
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۱۴۰۰
PHYSICAL DESCRIPTION
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۹۴ص.
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۱۴۰۰/۰۶/۲۲
SUMMARY OR ABSTRACT
Text of Note
Difference equations play an important role in numerical analysis, controltheory, financial mathematics and computer science. Among such equations, theRiccati difference equation in the form (xn+1 = Ax+nB, n = 0, 1, ...) has receivedspecial attention due to its special applications in various sciences. On the otherhand, A fuzzy difference equation is a difference equation with fuzzy parametersand fuzzy initial values, whose solution is a sequence of fuzzy numbers. Theapplication of such equations emerges in the analysis of real world phenomena,namely financial problems, time series, and population models. In this paper,using a generalization of division for fuzzy numbers, we study the existence andglobal behavior of the fuzzy difference equation (xn+1 = A + xBn , n = 0, 1, ...) whereA and B are positive fuzzy numbers.Some examples are presented to illustrate the applicability of our results
OTHER VARIANT TITLES
Variant Title
Title: On the new solutions to the fuzzy difference equation xn+1 = A + xBn