Numerical methods forfuzzy differential inclusions

The partial averaging scheme for impulsive differential inclusions with fuzzy right-hand side

“…В 1990 году J. P. Aubin ([5]) и V. A. Baidosov ( [7,8]) ввели в рассмо-трение дифференциальные включения с нечеткой правой частью, которые обобщают обыкновенные дифференциальные включения. Далее в работах [1]- [4], [9]- [16], [18] были рассмотрены различные свойства решений данных включений, а также возможность их применения при моделировании различных процессов естествознания. Так же в работе [19] показана актуальность использования импульсных дифференциальных включений с нечеткой правой частью для моделирования многих процессов в биологии, теории управления, электронике.…”

Numerical Solution of n-th Order Fuzzy Linear Differential Equations by Homotopy Perturbation Method

“…This is the approximate solution to equation (2). In most cases the series equation (6) is a convergent one which leads to the exact solution of equation (2).…”

“…The fuzzy differential equation and fuzzy initial value problems are studied by Kaleva [28,29] and Seikkala [36]. Various numerical methods for solving fuzzy differential equations are introduced in [1,2,6,31,32,37]. Very recently Tapaswini and Chakraverty [37] have proposed a new method to solve fuzzy initial value problem.…”

Fifth order Runge-Kutta method for solving first-order fully fuzzy differential equations under strongly generalized H-differentiability

“…The numerical methods for solving FDEs y ′ (x) = f (x, y) where x 0 is real number and y(x 0 ) = y 0 are introduced in Allahviranloo [2], Abbasbandy et al (see e.g. [3], [4], [7]) applied the concept of strongly generalized H-differentiability to solve linear first-order FDEs. It should be noted that in all mentioned numerical methods, finding a numerical solution for FDE is only possible with real coefficients.…”