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...

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, ...

Complex fuzzy sets (CFSs) have recently emerged as a potent tool for expanding the scope of to encompass wider ranges within unit disk in complex plane. This study explores numbers and introduces their application first time literature address partial differential equation that involves heat under Hukuhara differentiability. The researchers utilize an implicit finite difference scheme, namely C...

In this paper, the generalized Taylor’s expansion is presented for fuzzy-valued functions. To achieve this aim, fuzzyfractional mean value theorem for integral, and some properties of Caputo generalized Hukuhara derivative are necessarythat we prove them in details. In application, the fractional Euler’s method is derived for solving fuzzy fractionaldifferential equations in the sense of Caputo...