Some topological properties of solutions to fuzzy differential systems

On the existence of generalized weak solutions to discontinuous fuzzy differential equations

“…The function governing the equations is supposed to be discontinuous with respect to some variables and satisfy nonabsolute fuzzy integrability. Our result improves the result given in [3,4,6,7,20,22,23,39] and [9] (where uniform continuity was required), as well as those referred therein. In the future research, we shall deals with a new derivative and Hestock-Pettis-∆-integral for fuzzy-number-valued functions on time scales.…”

Fuzzy functional integro-differential equations under generalized H-differentiability

“…The approach based on H-derivative has the disadvantage that it leads to solutions which have an increasing length of their support. For some references on fuzzy equations and applications of fuzzy dynamics, we cite [3,11,12,20,32,33,43,44,54] and other recent works such as the study of some topological properties and structure of the solutions to the Cauchy problem for fuzzy differential systems (see [25,55]). Integrodifferential equations are encountered in many areas of science, where it is necessary to take into account aftereffect or delay (for example, in control theory, biology, ecology, medicine, et al [31,36,45]).…”

Local and Global Existence and Uniqueness of Solution for Class of Fuzzy Fractional Functional Evolution Equation

“…In biology, chemistry, physics, and other sciences, fractional differential equations are becoming more significant in system models. The reader is referred to the monographs [4,5], and the references therein, as there is a large quantity of literature dealing with delay differential equations and their applications. As a new branch of fuzzy mathematics, the study of fuzzy delay differential equations is growing in popularity.…”