Results 11 to 20 of about 11,947 (275)

Fuzzy solutions of some variants of the fractional order Korteweg-de-Vries equations via an analytical method

open access: yesAlexandria Engineering Journal, 2023
Under uncertainty, the analytical behaviour of fractional partial differential equations is frequently puzzling and challenging to predict. Therefore, in order to address these problems, it is essential to create a proper, extensive, and highly effective
Muhammad Nadeem   +3 more
doaj   +1 more source

Novel Analysis of Fuzzy Fractional Emden-Fowler Equations within New Iterative Transform Method

open access: yesJournal of Function Spaces, 2022
The analytical behavior of fractional differential equations is often puzzling and difficult to predict under uncertainty. It is crucial to develop a robust, extensive, and extremely successful theory to address these problems.
M. Mossa Al-Sawalha   +3 more
doaj   +1 more source

Series Representations for Uncertain Fractional IVPs in the Fuzzy Conformable Fractional Sense

open access: yesEntropy, 2021
Fuzzy differential equations provide a crucial tool for modeling numerous phenomena and uncertainties that potentially arise in various applications across physics, applied sciences and engineering. Reliable and effective analytical methods are necessary
Malik Bataineh   +3 more
doaj   +1 more source

Fractional Order Fuzzy Control of Nuclear Reactor Power with Thermal-Hydraulic Effects in the Presence of Random Network Induced Delay and Sensor Noise having Long Range Dependence [PDF]

open access: yes, 2013
Nonlinear state space modeling of a nuclear reactor has been done for the purpose of controlling its global power in load following mode. The nonlinear state space model has been linearized at different percentage of reactor powers and a novel fractional
Das, Saptarshi   +2 more
core   +2 more sources

Effective Approach to Construct Series Solutions for Uncertain Fractional Differential Equations

open access: yesFuzzy Information and Engineering, 2022
Purpose: We construct the analytical approximate resiual power fuzzy series solutions of fuzzy conformable fractional differential equations in an [Formula: see text]-level depiction in the sense of strongly generalized [Formula: see text]-fuzzy ...
Zeyad Al-Zhour   +5 more
doaj   +1 more source

A Fuzzy Method for Solving Fuzzy Fractional Differential Equations Based on the Generalized Fuzzy Taylor Expansion

open access: yesMathematics, 2020
In this field of research, in order to solve fuzzy fractional differential equations, they are normally transformed to their corresponding crisp problems. This transformation is called the embedding method.
Tofigh Allahviranloo   +3 more
doaj   +1 more source

Novel Evaluation of Fuzzy Fractional Biological Population Model

open access: yesJournal of Function Spaces, 2022
This article discusses an iterative transformation method via fuzziness that mixtures the Laplace transform with the iterative iterative method. Using Caputo derivative operator, the proposed technique demonstrates the inherent reliability of fractional ...
Rabab Alyusof   +3 more
doaj   +1 more source

Well-posedness and stability for fuzzy fractional differential equations

open access: yesNonlinear Analysis, 2022
In this article, we consider the existence and uniqueness of solutions for a class of initial value problems of fuzzy Caputo–Katugampola fractional differential equations and the stability of the corresponding fuzzy fractional differential equations ...
Xuping Zhang, Yanli Xi, Donal O’Regan
doaj   +1 more source

The potential of fractional order distributed MPC applied to steam/water loop in large scale ships [PDF]

open access: yes, 2020
The steam/water loop is a crucial part of a steam power plant. However, satisfying control performance is difficult to obtain due to the frequent disturbance and load fluctuation.
Cajo Diaz, Ricardo Alfredo   +3 more
core   +1 more source

Generalized Hukuhara Weak Solutions for a Class of Coupled Systems of Fuzzy Fractional Order Partial Differential Equations without Lipschitz Conditions

open access: yesMathematics, 2022
As is known to all, Lipschitz condition, which is very important to guarantee existence and uniqueness of solution for differential equations, is not frequently satisfied in real-world problems.
Fan Zhang, Heng-You Lan, Hai-Yang Xu
doaj   +1 more source

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