Results 171 to 180 of about 10,122 (193)
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The application of fuzzy Laplace transform by using generalized Hukuhara derivative
2021Summary: In this research an analytic method is used to solve fuzzy heat equation with fuzzy initial values, which is based on generalized Hukuhara differentiability. At first, we define fuzzy laplace transform in \(t\) considering \(x\) as a parameter on fuzzy functions \(u(x, t)\) and their derivatives by using generalized Hukuhara differentiability.
Ahmadi, Mahnaz Barkhordari +1 more
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The Fuzzy Double Laplace Transforms and their Properties with Applications to Fuzzy Wave Equation
New Mathematics and Natural Computation, 2021The main focus of this paper is develop of the fuzzy double Laplace transform to solve a fuzzy wave equation. In this scheme, a fuzzy wave equation can be solved without converting it to two crisp equations. Some properties of the fuzzy Laplace transform and the fuzzy double Laplace transform are proved.
R. Mastani Shabestari, R. Ezzati
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Usage of the Fuzzy Laplace Transform Method for Solving One-Dimensional Fuzzy Integral Equations
EQUATIONS, 2022In this paper, we propose the solution of fuzzy Volterra and Fredholm integral equations with convolution type kernel using fuzzy Laplace transform method (FLTM) under Hukuhara differentiability. It is shown that FLTM is a simple and reliable approach for solving such equations analytically.
Abdulrahman A. Sharif +2 more
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Solution of a fuzzy differential equation with interactivity via Laplace transform
Journal of Intelligent & Fuzzy Systems, 2019In this paper, we consider a type of fuzzy harmonic oscillator described by a differential equation of the form x ″ + a 2 x = 0 with initial conditions given by fuzzy numbers. Here, we assume that x ″ ( t ) and
Salgado, Silvio Antônio Bueno +3 more
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2018
In this paper, we introduce a result for the intuitionistic fuzzy Laplace transforms. The related theorems and properties are proved in detail and we propose a procedure for solving second-order intuitionistic fuzzy differential equations by using the intuitionistic fuzzy Laplace transform method. Finally, we present an example to illustrate this work.
R. Ettoussi, Said Melliani, L. S. Chadli
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In this paper, we introduce a result for the intuitionistic fuzzy Laplace transforms. The related theorems and properties are proved in detail and we propose a procedure for solving second-order intuitionistic fuzzy differential equations by using the intuitionistic fuzzy Laplace transform method. Finally, we present an example to illustrate this work.
R. Ettoussi, Said Melliani, L. S. Chadli
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Solving fuzzy fractional partial differential equations by fuzzy Laplace-Fourier transforms
2015In this paper, the solutions of linear fuzzy fractional partial differential equations (FFPDEs) under Caputo-type H-differentiability have been investigated. To this end, the fuzzy Laplace and fuzzy Fourier transform were used to obtain the solutions of FFPDEs.
KHODADADI, EKHTIAR, KARABACAK, Mesut
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Convergence of Fuzzy Conformable Laplace Transform
Applied Mathematics & Information Sciences, 2022openaire +1 more source
A study on fuzzy fractional equation using Laplace transform in quantum environment
Summary: This paper explores quantum \(q\)-fractional differential equation in the Caputo sense. The primary focus is on an equation incorporating a \(q\)-derivative and an unknown function \(f(x)\). The existence of solutions is established using the \(q\)-Laplace transform and \(q\)-Mittag-Leffler function.Palanisami, Dhanalakshmi +1 more
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2019
Semi-linear dynamical systems draw attention in many useful real world problems like population model, epidemic model, etc., they also occur in various applications involving parabolic equations. Now, when the modelling of such applications has inbuilt possibilistic uncertainty, it can be efficiently realized using fuzzy numbers.
Purnima Pandit, Payal Singh
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Semi-linear dynamical systems draw attention in many useful real world problems like population model, epidemic model, etc., they also occur in various applications involving parabolic equations. Now, when the modelling of such applications has inbuilt possibilistic uncertainty, it can be efficiently realized using fuzzy numbers.
Purnima Pandit, Payal Singh
openaire +1 more source