جواب های جدید برای معادلۀ تفاضل فازی B/x_n + A = x_(n+1)
اسماعیل رجب زاده
ریاضی
۱۴۰۰
۹۴ص.
سی دی
کارشناسی ارشد
ریاضی کاربردی
۱۴۰۰/۰۶/۲۲
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
Title: On the new solutions to the fuzzy difference equation xn+1 = A + xBn