The main purpose of this study is to introduce a new double fuzzy transform called the Sawi transform. A proof some basic properties single and are provided. These results implemented obtain exact solution non-homogeneous linear telegraph equation under generalized Hukuhara partial differentiability. In addition, by using symmetric triangular numbers, numerical examples given demonstrate validi...

In this paper, we obtain a version of Ekeland's variational principle for interval-valued functions by means the Dancs-Hegedüs-Medvegyev theorem (Dancs et al. (1983) [14]). We also derive two versions involving generalized Hukuhara Gâteaux differentiability as well bifunctions. Finally, apply these new to fixed point theorems, optimization problems, Mountain Pass Theorem, noncooperative games, ...

In this paper a third-order composite Runge Kutta method is applied for solving fuzzy differential equations based on generalized Hukuhara differentiability. This study intends to explore the explicit methods which can be improved and modified to solve fuzzy differential equations. Some definitions and theorem are reviewed as a basis in solving fuzzy differential equations. Some numerical examp...

*Correspondence: [email protected] 1Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam Full list of author information is available at the end of the article Abstract In this paper the second-order random fuzzy differential equations (SRFDEs) under generalized Hukuhara differentiability are introduced. Un...

Here we consider the ordinary and fractional approximation of functions by sublinear positive operators with applications to generalized convolution type expressed integrals such as Choquet Shilkret ones. The is under differentiability Caputo, Canavati Iterated-Caputo types. We produce Jackson inequalities basic initial conditions. So our way quantitative producing their right hand sides involv...

The main focus of this paper is to develop an efficient analytical method obtain the traveling wave fuzzy solution for generalized Hukuhara conformable fractional equations by considering type differentiability solution. To achieve this, derivative based on defined, and several properties are brought topic, such as switching points chain rule. After that, a new applied find exact solutions two ...

In this work, the tracking control of a class uncertain linear dynamical systems is investigated. The uncertainty considered to be represented as fuzzy numbers, and hence, these are referred systems, which presented in form differential equations (FDEs). solution an FDE found using approach called relative-distance-measure interval arithmetic under granular differentiability concept. objective ...

The fuzzy fractional differential equation explains more complex real-world phenomena than the does. Therefore, numerous techniques have been timely derived to solve various time-dependent models. In this paper, we develop two compact finite difference schemes and employ resulting obtain a certain solution for time-fractional convection–diffusion equation. Then, by making use of Caputo derivati...