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Generalized Fuzzy Transform and Nonlocal Laplace Operator
IEEE Transactions on Fuzzy SystemsThe F-transform has proven to be effective in various applications such as time series analysis, numerical solutions of differential equations, and signal or image processing. The most important parameter of the F-transform is a fuzzy partition initially introduced for one-dimensional spaces, with a few generalizations to higher-dimensional spaces ...
Hana Zámečníková +3 more
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Journal of Computing Research and Innovation, 2022 Laplace transforms play an essential role in the analysis of classical non-Markovian queueing systems. The problem addressed here is whether the Laplace transform approach is still valid for determining the characteristics of such a system in a fuzzy ...
Baudouin Adia Leti Mawa +3 more
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On Fuzzy Fractional Laplace Transformation [PDF]
Advances in Mathematical Physics, 2014 Fuzzy and fractional differential equations are used to model problems with uncertainty and memory. Using the fractional fuzzy Laplace transformation we have solved the fuzzy fractional eigenvalue differential equation. By illustrative examples we have shown the results.
Ahmad Jafarian +2 more
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Advances in Fuzzy Systems, 2023 In this paper, several results and theorems about the high-order strongly generalized Hukuhara differentiability of function defined via the fuzzy Riemann improper integral (in the sense of Wu) have been established.
Elhassan Eljaoui, Said Melliani
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Journal of Function Spaces, 2022 In this paper, the method for evaluating an analytical solution of fuzzy Newell-Whitehead-Segel equation with certain affecting terms of force has been given.
Yousuf Alkhezi +2 more
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The application of a new PID autotuning method for the steam/water loop in large scale ships [PDF]
, 2020 In large scale ships, the most used controllers for the steam/water loop are still the proportional-integral-derivative (PID) controllers. However, the tuning rules for the PID parameters are based on empirical knowledge and the performance for the loops
De Keyser, Robain +3 more
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A fuzzy solution of fractional differential equations by fuzzy conformable Laplace transforms
Sahand Communications in Mathematical Analysis, 2023 Summary: The fuzzy conformable Laplace transforms proposed in [the authors, S\(\vec{\text{e}}\)MA J. 78, No. 3, 401--414 (2021; Zbl 1476.34046)] are used to solve only fuzzy fractional differential equations of order \(0 < \iota \leq 1\). In this article, under the generalized conformable fractional derivatives notion, we extend and use this method to ...
Harir, Atimad +2 more
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Journal of Function Spaces, 2021 In this paper, existence, uniqueness, and Hyers-Ulam stability for the solution of second-order fuzzy differential equations (FDEs) are studied. To deal a physical model, it is required to insure whether unique solution of the model exists.
Noor Jamal +2 more
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First Order Linear Homogeneous Ordinary Differential Equation in Fuzzy Environment Based On Laplace Transform [PDF]
, 2013 In this paper the First Order Linear Ordinary Differential Equations (FOLODE) are described in fuzzy environment. Here coefficients and /or initial condition of FOLODE are taken as Generalized Triangular Fuzzy Numbers (GTFNs).The solution procedure of ...
Sankar Prasad Mondal, Tapan Kumar Roy
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Solving fuzzy fractional differential equations with applications
Alexandria Engineering Journal, 2023 In this article, we proposed several methods to solve the nonlinear fuzzy fractional differential equation. The methods include the fuzzy Adomian decomposition method (fuzzy ADM), fuzzy homotopy perturbation method (fuzzy HPM), fuzzy homotopy analysis ...
Mawia Osman, Yonghui Xia
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