In this paper, we applied a new analytical geometrical method which so called fractal index method to find a new solution of the generalized fractional Riccati equation of arbitrary order, we also wrote the solution on the closed form as an infinte series and showed that the series is convergent within some closed disk. The fractional operators are taken in sense of the Riemann-Liouville operat...

A contemporaneous linear combination of two or more time series is less persistent than the individual series. Engle and Granger (1987) allowed for both standard and fractional cointegration. Under standard cointegration, the memory parameter is reduced from 1 to 0, while under fractional cointegration the level of reduction need not be an integer thus is more general. Empirical examples includ...

In this paper, we integrate goal programming (GP), Taylor Series, Kuhn-Tucker conditions and Penalty Function approaches to solve linear fractional bi-level programming (LFBLP)problems. As we know, the Taylor Series is having the property of transforming fractional functions to a polynomial. In the present article by Taylor Series we obtain polynomial objective functions which are equivalent to...