Iterative numerical method for pantograph type fuzzy Volterra integral equations

Bica, Alexandru Mihai; Satmari, Zoltan

doi:10.1016/j.fss.2021.12.002

Cited by 2 publications

(2 citation statements)

References 29 publications

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“…In the literature, there is a large number of studies that have emerged in recent years that are concerned with differential equations containing either random variables or fuzzy sets (see [1], [4][5][6], [8][9][10][11], [16][17][18][19]). In 2008, Abbasbandy et al [1] proposed a solution for general dual fuzzy linear systems, in which the existence of a minimal solution of the general dual fuzzy linear equation systems is investigated.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

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Approximate Solution of Linear Fuzzy Random Ordinary Differential Equations Using Laplace Variational Iteration Method

Abdulsahib,

Fadhel,

Eidi

2024

Iraqi Journal of Science

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In this article, the Laplace transformation method in connection with the variational iteration method will be used to solve approximately fuzzy random ordinary differential equations. After that, the sequence of approximated closed form iterated solutions is derived based on the general Lagrange multiplier evaluated using the well-known convolution theorem of the Laplace transformation method. In addition, two examples are given and solved to illustrate the reliability, efficiency and applicability of the proposed method, they are simulated using computer programs with two different generations of stochastic processes, namely the Wiener process or Brownian motion, which are 1000 and 10000, respectively.

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Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…Fadhel et al in 2021 [6] used the LVIM to solve RODEs. In 2022, Bica and Satmari [5] presented the numerical method to solve fuzzy Volterra integral equations based on the fuzzy Bernstein spline interpolation procedure.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%