Results 11 to 20 of about 10,065 (207)
In this paper, we apply the concept of Caputo’s H-differentiability, constructed based on the generalized Hukuhara difference, to solve the fuzzy fractional differential equation (FFDE) with uncertainty. This is in contrast to conventional solutions that
Soheil Salahshour +4 more
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On Lʳ-intuitionistic fuzzy Henstock—Kurzweil integral with application to intuitionistic fuzzy Laplace transform [PDF]
This article presents the concept of Lʳ-Henstock—Kurzweil integral of intuitionistic fuzzy number-valued function. First, we define the Lʳ-intuitionistic fuzzy Henstock—Kurzweil integral, explore its properties, demonstrate Lʳ-continuity of the primitive,
A. S. Wungreiphi +1 more
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Solving second-order fuzzy differential equations by the fuzzy Laplace transform method [PDF]
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ElJaoui, Elhassan +2 more
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On Fuzzy Fractional Laplace Transformation [PDF]
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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A fuzzy solution of fractional differential equations by fuzzy conformable Laplace transforms
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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Solving Pythagorean fuzzy partial fractional diffusion model using the Laplace and Fourier transforms. [PDF]
Many mathematical models describe the Corona virus disease 2019 (COVID-19) outbreak; however, they require advance mathematical skills. The need for this study is to determine the diffusion of the COVID-19 vaccine in humans. To this end, we first establish a Pythagorean fuzzy partial fractional differential equation using the Pythagorean fuzzy integral
Akram M, Ihsan T.
europepmc +3 more sources
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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Fuzzy de Sitter Space from kappa-Minkowski Space in Matrix Basis [PDF]
We consider the Lie group $\mathbb{R}^D_\kappa$ generated by the Lie algebra of $\kappa$-Minkowski space. Imposing the invariance of the metric under the pull-back of diffeomorphisms induced by right translations in the group, we show that a unique right
Gelfand M., Lizzi F., Vilenkin N. Ja.
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Evaluation of one dimensional fuzzy fractional partial differential equations
This manuscript is related to investigate analytical solutions to some linear fractional partial fuzzy differential equations under certain conditions. For the concerned investigation, we utilize Laplace transform along with some decomposition method to ...
Kamal Shah +2 more
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Solving fuzzy fractional differential equations with applications
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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