Results 11 to 20 of about 629 (164)
Entropy, 2015 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]
Notes on IFSThis 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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Cumhuriyet Science Journal, 2019 In this paper, fuzzy initial value problems for first-order fuzzydifferential equations with positive and negative fuzzy number coefficients arestudied by fuzzy Laplace transform.
Hülya Gültekin Çitil
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Aumann Fuzzy Improper Integral and Its Application to Solve Fuzzy Integro-Differential Equations by Laplace Transform Method [PDF]
Advances in Fuzzy Systems, 2018 We introduce the Aumann fuzzy improper integral to define the convolution product of a fuzzy mapping and a crisp function in this paper. The Laplace convolution formula is proved in this case and used to solve fuzzy integro-differential equations with ...
Elhassan Eljaoui +2 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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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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Evaluation of one dimensional fuzzy fractional partial differential equations
Alexandria Engineering Journal, 2020 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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Intuitionistic fuzzy Laplace Adomian decomposition method for solving intuitionistic fuzzy differential equations of higher order [PDF]
Notes on IFSThe aim of this work is to introduce the intuitionistic fuzzy Laplace Adomian decomposition method, in which we combine intuitionistic fuzzy Laplace transform with the intuitionistic fuzzy Adomian decomposition method.
Razika Ettoussi +2 more
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On the Fuzzy Solution of Linear-Nonlinear Partial Differential Equations
Mathematics, 2022 In this article, we present the fuzzy Adomian decomposition method (ADM) and fuzzy modified Laplace decomposition method (MLDM) to obtain the solutions of fuzzy fractional Navier–Stokes equations in a tube under fuzzy fractional derivatives.
Mawia Osman +3 more
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Alexandria Engineering Journal, 2021 The purpose of this article is to extend the fractional third order dispersive PDE under singular and non-singular fractional operators via the notion of fuzziness.
Shabir Ahmad +3 more
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