Differential equations have been widely explored in many fields, from applications in physics, engineering, economics, and biology to theoretical mathematical developments. Its …
In this paper, systems of linear differential equations with crisp real coefficients and with initial condition described by a vector of fuzzy numbers are studied. A new method based on …
Let X denote a locally compact metric space and φ: X→ X be a continuous map. In the 1970s Zadeh presented an extension principle helping us to fuzzify the dynamical system (X, φ), ie …
In this paper, we study first order linear fuzzy differential equations under differential inclusions and strongly generalized differentiability approaches. We present some new …
XM Liu, J Jiang, L Hong - Fuzzy Sets and Systems, 2021 - Elsevier
This article provides a numerical method to solve a fuzzy differential equation via differential inclusions. The method obtains response solutions with their membership distribution …
M Chen, D Li, X Xue - Fuzzy Sets and Systems, 2011 - Elsevier
It is well known that there are no periodic solutions to fuzzy differential equations in the sense of Hukuhara derivatives, ie H-derivatives, so fuzzy differential equations in the sense …
In this work, we study some properties of the solutions to first order linear fuzzy differential equations under differential inclusions' approach. We show that the differential inclusions' …
The first-order fuzzy differential equation has two possible solutions depending on the definition of differentiability. The definition of differentiability changes as the product of the …
In this paper, we reformulate the algorithm in [7] to find an analytical expression for-cuts of the solution of the second order nonhomogeneous fuzzy initial value problem with fuzzy …