We are concerned with the development of a K−step method for the numerical solution of fuzzy initial value problems. Convergence and stability of the method are also proved in detail. Moreover, a specific method of order 4 is found. The numerical results show that the proposed fourth order method is efficient for solving fuzzy differential equations.

Five ferredoxin (Fd) isoproteins (FdA, FdB, FdC, FdD, and Fdf) were isolated from tomato (Lycopersicon esculentum cv Momotaro) fruit. These isoproteins showed differential temporal and spatial accumulation patterns. FdA and FdC were present in leaves, FdE was present in roots, and FdB and FdD were fruit-specific. During fruit growth, the relative abundance of FdA decreased and that of FdE incre...

mathematical models can simulate the growth and proliferation of cells in the interaction with healthy cells, the immune system and measure the toxicity of drug and its effects on healthy tissue pay. one of the main goals of modeling the structure and growth of cancer cells is to find a control model suitable for administration among patients. in this study, a new mathematical model is designed...

The fuzzy differential and integral equations are important part of the fuzzy analysis theory and they have the important value of theory and application in control theory. Seikkala in [8] has defined the fuzzy derivative which is the generalization of the Hukuhara derivative in [7], the fuzzy integral which is the same as that of Dubois and prade [1], and by means of the extension principle of...

Solution of homogeneous fuzzy partial differential equations with specific fuzzy boundary and initial conditions are proposed. Using Adomian Decomposition method, we solve the heat equations for which it is difficult to find the solution by classical methods. We extend the crisp solution in the fuzzy form as a Seikkala solution. MSC: 34A07 • 35K51

In this paper, the variational iteration method for solving nth-order fuzzy integro-differential equations (nth-FIDE) is proposed. In fact the problem is changed to the system of ordinary fuzzy integrodifferential equations and then fuzzy solution of nth-FIDE is obtained. Some examples show the efficiency of the proposed method.

In this paper we study numerical methods for Hybrid Fuzzy Differential equations by an appllication of the Runge-kutta Fehlberg method for fuzyy differential equations. We prove a convergence result and give numerical examples to illustrate the theory.

In recent years, fuzzy dispersion entropy (FDE) has been proposed and used in the feature extraction of various types signals. However, FDE can only analyze a signal from single time scale during practical application ignores some important information. order to overcome this drawback, on basis FDE, paper introduces concept multiscale process proposes (MFDE), based which an MFDE-based method fo...

In this paper, we propose a new method for solving fuzzy partial differential equation using fuzzy Sumudu transform. First, we provide fundamental results of fuzzy Sumudu transform for fuzzy partial derivatives and later use them to construct the solution of fuzzy partial differential equations. Finally, we demonstrate an example to show the capability of the proposed method and present the res...

In this article, we consider a fractional differential equation (FDE) with Caputo derivative and study the existence and continuation of its solution. Firstly, we prove a theorem on the existence of local solutions. Then we extend the continuation theorems for ODEs to those FDEs. Also several global existence results for FDE are obtained.