In this paper, the variational iteration method (VIM) and Buckley-Feuring method (BFM) are applied to find the exact fuzzy solution of the fuzzy heat-like equations in one and two dimensions with variable coefficients. Further a comparison between VIM-BFM and Seikkala solutions is provided. [Hamid Rouhparvar, Saeid Abbasbandy, Tofigh Allahviranloo. Journal of American Science 2011; 7(2):338-345...

In an earlier work [Pop and Stancu Minasian, 2008], we proposed a method of solving the fully fuzzified linear fractional programming (FFLFP) problem. In this paper, we propose another method of solving the FFLFP problem. First, analogically using the Charnes-Cooper method, we transform the linear fractional programming problem into a linear one. Next, problem of maximizing a function with tria...

In this paper we upgraded the Luhandjula’s method (Fuzzy Sets and Systems, 13(1), (1984), 11-23) for multiple objective linear plus fractional programming problems (MOL+FPP) with modification given by Dutta et al. (Fuzzy Sets and System, 52(1), (1992), 39-45). The aim of this paper is to show new fuzzy set approach for MOL+FPP by defining new membership function for linear function part and si...

Fuzzy logic based PID controllers have been studied in this paper, considering several combinations of hybrid controllers by grouping the proportional, integral and derivative actions with fuzzy inferencing in different forms. Fractional order (FO) rate of error signal and FO integral of control signal have been used in the design of a family of decomposed hybrid FO fuzzy PID controllers. The i...

The paper presents a fuzzy control based on parallel distributed fuzzy controllers for a heat exchanger. Each subcontroller is LQR designed and provides local optimal solutions. First, a Takagi-Sugeno fuzzy model is employed to represent a system. The stability of the system with the proposed fuzzy controllers is discussed. The simulation results are compared with classical PID control and illu...

In this paper the exact and the approximate solutions of fuzzy fractional differential equation, in the sense of Caputo Hukuhara differentiability, with a fuzzy condition are constructed by using the fuzzy Laplace transform. The obtained solutions are expressed in the form of the fuzzy Mittag-Leffler function. The presented procedure is visualized and the graphs of the obtained approximate solu...

In this article, the author has used fractional calculus to explain the wave nature of heat propagation as well as heat conduction at molecular level with dual phase lag; in this row he proposed dual phase lag heat equation of fractional order. Modified Adomian Decomposition Method and New Iterative Method are applied to obtain the approximate analytical solutions of the proposed model. Numeric...