نتایج جستجو برای: linear fuzzy differential equations

تعداد نتایج: 975206  

S. P. Mondal T. K. Roy

In this paper the solution of a second order linear differential equations with intuitionistic fuzzy boundary value is described. It is discussed for two different cases: coefficient is positive crisp number and coefficient is negative crisp number. Here fuzzy numbers are taken as generalized trapezoidal intutionistic fuzzy numbers (GTrIFNs). Further a numerical example is illustrated.

Journal: :international journal of mathematical modelling and computations 0
mahmoud paripour department of mathematics, hamedan university of technology, hamedan, 65156-579, iran iran, islamic republic of homa heidari elahe hajilou

in this paper, we study the numerical solution of hybrid fuzzy differential equations by using differential transformation method (dtm). this is powerful method which consider the approximate solution of a nonlinear equation as an infinite series usually converging to the accurate solution. several numerical examples are given and by comparing the numerical results obtained from dtm  and  predi...

L. Jamshidi T. Allahviranloo,

In this paper, we study first order linear fuzzy differential equations with fuzzy coefficient and initial value. We use the generalized differentiability concept and apply the exponent matrix to present the general form of their solutions. Finally, one example is given to illustrate our results.

2016
Boris Kovalerchuk Vladik Kreinovich

The focus of this paper is to clarify the concepts of solutions of linear equations in interval, probabilistic, and fuzzy sets setting for real world tasks. There is a fundamental difference between formal definitions of the solutions and physically meaningful concepts of solution in applied tasks, when equations have uncertain components. For instance, a formal definition of the solution in te...

2009
A. Khastan F. Bahrami Juan José Nieto

We firstly present a generalized concept of higher-order differentiability for fuzzy functions. Then we interpret Nth-order fuzzy differential equations using this concept. We introduce new definitions of solution to fuzzy differential equations. Some examples are provided for which both the new solutions and the former ones to the fuzzy initial value problems are presented and compared. We pre...

Journal: :international journal of industrial mathematics 0
p. darabi department of mathematics, farhangian university, tehran, ‎iran. s. moloudzadeh‎ department of mathematics, faculty of education, soran university, soran/erbil, kurdistan region, ‎iraq‎. h. khandani‎ department of mathematics, mahabad branch, islamic azad university, mahabad, ‎iran‎.

in this paper, a new approach for solving the second order fuzzy differential equations (fde) with fuzzy initial value, under strongly generalized h-differentiability is presented. solving first order fuzzy differential equations by extending 1-cut solution of the original problem and solving fuzzy integro-differential equations has been investigated by some authors (see for example cite{darabi...

Journal: :نظریه تقریب و کاربرد های آن 0
محمود اوتادی دانشگاه آزاد بجنورد

in this paper, a new method based on parametric form for approximate solu-tion of fuzzy linear matrix equations (flmes) of the form ax = b; where ais a crisp matrix, b is a fuzzy number matrix and the unknown matrix x one,is presented. then a numerical example is presented to illustrate the proposedmodel.

Journal: :journal of linear and topological algebra (jlta) 0
l jamshidi department of mathematics, hamedan branch, islamic azad university, hamedan, iran. t allahviranloo department of mathematics, tehran science and research branch, islamic azad university, tehran , iran.

in this paper, we study rst order linear fuzzy di erential equations with fuzzy coecient and initial value. we use the generalized di erentiability concept and apply the exponent matrix to present the general form of their solutions. finally, one example is given to illustrate our results.

Journal: :international journal of industrial mathematics 2014
o. sedaghatfar s. moloudzadeh p. darabi

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 integro-differential equations and then fuzzy solution of nth-fide is obtained. some examples show the efficiency of the proposed method.

Journal: :iranian journal of fuzzy systems 2015
r. ezzati k. maleknejad s. khezerloo m. khezerloo

in this paper, we consider first-order fuzzy differential equations with initial value conditions. the convergence, consistency and stability of difference method for approximating the solution of fuzzy differential equations involving generalized h-differentiability, are studied. then the local truncation error is defined and sufficient conditions for convergence, consistency and stability of ...

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