Existence and Uniqueness of Solutions of Fuzzy Volterra Integro-differential Equations

Convergence and stability properties Euler method for solving fuzzy Stochastic differential equations

“…In [20] the existence and uniqueness of the solution for RFDEs with non-Lipschitz coefficients is proven. Inspired and motivated by T. Allahviranloo et.al [9,10,12,13] and Marek T. Malinowski [3,4,5,6], we consider the existence and uniqueness results for random fuzzy differential equations. For the existence and uniqueness, we use the method of successive approximations.…”

Fuzzy Volterra Integro-Differential Equations Using General Linear Method

“…A particular class of FIDEs is known as fuzzy Volterra integro-differential equations (FVIDEs). The existence and uniqueness of FIDEs and FVIDEs solutions were investigated by Park and Jeong in [9], Hajighasemi et al in [10], and Zeinali et al in [11]. Mikaeilvand et al in [12] presented the numerical examples of FVIDEs using the differential transform method.…”

Existence, Uniqueness, and Characterization Theorems for Nonlinear Fuzzy Integrodifferential Equations of Volterra Type

“…The solvability theory of fuzzy VIDEs has been studied by several researchers by using the strongly generalized differentiability, the Hukuhara derivative, or the Zadeh's extension principle for the fuzzy-valued mappings of a real variable whose values are normal, convex, upper semicontinuous, and compactly supported fuzzy sets in R. The reader is asked to refer to [15][16][17][18][19][20][21][22] in order to know more details about these analyses, including their kinds and history, their modifications and conditions for use, their scientific applications, their importance and characteristics, and their relationship including the differences. But, on the other aspect as well, more details about the solvability theory of crisp VIDEs can be found in [23,24] and more details about the characterization theorem can be found in [25,26].…”