Results 31 to 40 of about 9,880 (171)

On the linear fuzzy model associated with Caputo–Fabrizio operator

Boundary Value Problems, 2018
In this paper, we introduce the fuzzy Caputo–Fabrizio operator under generalized Hukuhara differentiability concept. In this setting, we study the linear fuzzy fractional initial value problems and present the general form of their solutions.
R. Abdollahi, A. Khastan, J. J. Nieto, R. Rodríguez-López   +3 more
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Tracking Control of a Class of Fuzzy Dynamical Systems Under the Concept of Granular Differentiability

Fuzzy Information and Engineering, 2023
In this work, the tracking control of a class of uncertain linear dynamical systems is investigated. The uncertainty is considered to be represented as fuzzy numbers, and hence, these uncertain dynamical systems are referred to as fuzzy linear dynamical ...
Seyed Mohammad Mehdi Abbasi, Aliakbar Jalali   +1 more
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On Fuzzy Improper Integral and Its Application for Fuzzy Partial Differential Equations

International Journal of Differential Equations, 2016
We establish some important results about improper fuzzy Riemann integrals; we prove some properties of fuzzy Laplace transforms, which we apply for solving some fuzzy linear partial differential equations of first order, under generalized Hukuhara ...
ElHassan ElJaoui, Said Melliani
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Existence-uniqueness of solutions for fuzzy nabla initial value problems on time scales

Advances in Difference Equations, 2019
This paper is devoted to studying the existence and uniqueness of solutions of fuzzy nabla dynamic equations on time scales under Hukuhara differentiability. We apply the Banach contraction mapping principle to establish existence and uniqueness solution
R. Leelavathi, G. Suresh Kumar, M. S. N. Murty, R. V. N. Srinivasa Rao   +3 more
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The fuzzy D'Alembert solutions of the fuzzy wave equation under generalized differentiability [PDF]

Journal of Mahani Mathematical Research, 2023
In this paper, a one-dimensional homogeneous fuzzy wave equation is solved with an analytical procedure using the fuzzy D’Alembert method by considering the generalized differentiability.
Mohsen Miri Karbasaki, Mohammad Reza Balooch Shahriari, Omolbanin Sedaghatfar   +2 more
doaj   +1 more source

A new concept of differentiability for interval-valued functions [PDF]

Surveys in Mathematics and its Applications, 2019
In this paper we propose a new concept of differentiability for interval-valued functions. This concept is based on the properties of the Hausdorff-Pompeiu metric and avoids using the generalized Hukuhara difference.
Vasile Lupulescu, Donal O'Regan
doaj  

A Single Layer Functional Link Artificial Neural Network based on Chebyshev Polynomials for Neural Evaluations of Nonlinear Nth Order Fuzzy Differential Equations

Annals of the West University of Timisoara: Mathematics and Computer Science, 2018
Bearing in mind the considerable importance of fuzzy differential equations (FDEs) in different fields of science and engineering, in this paper, nonlinear nth order FDEs are approximated, heuristically.
Ara Asmat, Razzaq Oyoon Abdul, Khan Najeeb Alam   +2 more
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Higher-order fuzzy fractional differential equations: on the existence, uniqueness and Hyers–Ulam–Rassias stability of solutions [PDF]

Journal of Fuzzy Extension and Applications
In this work, we investigate the existence, uniqueness, and different stability types, focusing on Ulam-Hyers stability, of a solution to a nonlinear fuzzy fractional differential equation with Caputo generalized Hukuhara differentiability of order ...
Brahim Ghrissi, Abdelkader Amara, Youcef Henka   +2 more
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Double Fuzzy Sumudu Transform to Solve Partial Volterra Fuzzy Integro-Differential Equations

Mathematics, 2020
In this paper, the double fuzzy Sumudu transform (DFST) method was used to find the solution to partial Volterra fuzzy integro-differential equations (PVFIDE) with convolution kernel under Hukuhara differentiability.
Atanaska Georgieva
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Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography

Journal of Ocean Engineering and Science, 2023
The main idea of this article is the investigation of atmospheric internal waves, often known as gravity waves. This arises within the ocean rather than at the interface.
Saima Rashid, Mohammed K.A. Kaabar, Ali Althobaiti, M.S. Alqurashi   +3 more
doaj   +1 more source