Results 31 to 40 of about 743 (247)

On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative [PDF]

open access: yesJournal of Function Spaces, 2021
In this manuscript, we establish new existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving Caputo fractional derivative. The existence theorems are proved by using fuzzy fractional calculus, Picard’s iteration method, and Banach contraction principle.
Ali El Mfadel   +2 more
openaire   +2 more sources

A Fuzzy Fractional Order Approach to SIDARTHE Epidemic Model for COVID-19

open access: yesComplexity, 2022
In this paper, a novel coronavirus SIDARTHE epidemic model system is constructed using a Caputo-type fuzzy fractional differential equation. Applying Caputo derivatives to our model is motivated by the need to more thoroughly examine the dynamics of the ...
P. Chellamani   +3 more
doaj   +1 more source

Application of the Optimal Homotopy Asymptotic Approach for Solving Two-Point Fuzzy Ordinary Differential Equations of Fractional Order Arising in Physics

open access: yesAxioms, 2023
This work focuses on solving and analyzing two-point fuzzy boundary value problems in the form of fractional ordinary differential equations (FFOBVPs) using a new version of the approximation analytical approach.
Ali Fareed Jameel   +6 more
doaj   +1 more source

On the Fuzzy Solution of Linear-Nonlinear Partial Differential Equations

open access: yesMathematics, 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
doaj   +1 more source

Compound Adaptive Fuzzy Synchronization Controller Design for Uncertain Fractional-Order Chaotic Systems

open access: yesFractal and Fractional, 2022
In this paper, the synchronization of two fractional-order chaotic systems with uncertainties and external disturbances is considered. A fuzzy logic system is utilized to estimate uncertain nonlinearity, and its estimation accuracy is improved by ...
Fengyan Liu, Xiulan Zhang
doaj   +1 more source

Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography

open access: yesJournal 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   +3 more
doaj   +1 more source

Study on generalized fuzzy fractional human liver model with Atangana–Baleanu–Caputo fractional derivative

open access: yesThe European Physical Journal Plus, 2022
This study aims to develop a novel fuzzy fractional model for the human liver that incorporates the ABC fractional differentiability, also known as ABC gH-differentiability, based on the generalized Hukuhara derivative. In addition, a novel fuzzy double parametric q-homotopy analysis method with a generalized transform and ABC gH-differentiability is ...
Lalchand Verma, Ramakanta Meher
openaire   +2 more sources

Optimized fuzzy fractional-order linear quadratic tracking control for a nonlinear system

open access: yesResults in Control and Optimization, 2023
In this paper, a novel fuzzy fractional-order Linear Quadratic Tracking (LQT) controller optimized by a Multi-Objective gray Wolf Algorithm (MOGWA) is designed for a 6 Degree-Of-Freedom (DOF) quadcopter flying system.
M.J. Mahmoodabadi, N. Rezaee Babak
doaj   +1 more source

Study of Fuzzy Fractional Nonlinear Equal Width Equation in the Sense of Novel Operator

open access: yesJournal of Function Spaces, 2021
In this paper, we designed an algorithm by applying the Laplace transform to calculate some approximate solutions for fuzzy fractional-order nonlinear equal width equations in the sense of Atangana-Baleanu-Caputo derivatives.
Muhammad Naeem   +4 more
doaj   +1 more source

Initial Value Problems of Fuzzy Fractional Coupled Partial Differential Equations with Caputo gH-Type Derivatives

open access: yesFractal and Fractional, 2022
The purpose of this paper is to investigate a class of initial value problems of fuzzy fractional coupled partial differential equations with Caputo gH-type derivatives.
Fan Zhang, Hai-Yang Xu, Heng-You Lan
doaj   +1 more source

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