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Local Fuzzy Fractional Partial Differential Equations in the Realm of Fractal Calculus with Local Fractional Derivatives

open access: yesFractal and Fractional, 2023
In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman   +6 more
doaj   +4 more sources

Analysis of Fuzzy Kuramoto-Sivashinsky Equations under a Generalized Fuzzy Fractional Derivative Operator

open access: yesJournal of Function Spaces, 2022
This paper evaluates a semianalytical strategy combined with a novel fuzzy integral transformation and an iterative method inside the fuzziness concept known as the new iterative transform method.
Noufe H. Aljahdaly   +2 more
doaj   +3 more sources

An in-depth examination of the fuzzy fractional cancer tumor model and its numerical solution by implicit finite difference method. [PDF]

open access: yesPLoS ONE
The cancer tumor model serves a s a crucial instrument for understanding the behavior of different cancer tumors. Researchers have employed fractional differential equations to describe these models. In the context of time fractional cancer tumor models,
Hamzeh Zureigat   +4 more
doaj   +2 more sources

Fuzzy-fractional modeling of cholera disease using real outbreak data of angola in caputo-TFN framework [PDF]

open access: yesScientific Reports
Cholera is a waterborne disease that is mostly spread by taking tarnished food and water. This disease is brought on by bacteria Vibrio cholerae and causes infection in humans.
Qursam Fatima   +5 more
doaj   +2 more sources

New solutions of multidimensional fuzzy fractional coupled Burgers systems via He Laplace Carson algorithm [PDF]

open access: yesScientific Reports
The coupled Burgers model, a system of nonlinear partial differential equations, is widely used to describe complex interactions in various fields, including fluid dynamics, traffic flow, and biological systems.
Mubashir Qayyum   +6 more
doaj   +2 more sources

Granular Fuzzy Fractional Financial Systems Governed by Granular Caputo Fractional Derivative

open access: yesMathematics
A granular fuzzy fractional financial system (GFFFS) is important for modeling real-world market uncertainties and complexities compared to conventional financial models. Unlike traditional approaches, a GFFFS offers enhanced precision in risk assessment,
Feryal Abdullah Aladsani   +2 more
doaj   +2 more sources

Analytical solution of fuzzy heat problem in two-dimensional case under Caputo-type fractional derivative. [PDF]

open access: yesPLoS ONE
This work aims to investigate the analytical solution of a two-dimensional fuzzy fractional-ordered heat equation that includes an external diffusion source factor.
Muhammad Nadeem   +3 more
doaj   +2 more sources

Fuzzy and fractional analysis of cancer tumor dynamics with depression effects on chemotherapy [PDF]

open access: yesScientific Reports
Cancer is a complex and heterogeneous condition marked by the unchecked growth and dissemination of abnormal cells, posing significant challenges in detection, treatment, and patient care.
Mubashir Qayyum   +5 more
doaj   +2 more sources

Fuzzy Fractional Boundary Value Problems With Hilfer Fractional Derivatives

open access: yesAsia Pacific Journal of Mathematics, 2023
Elhoussain Arhrrabi   +3 more
doaj   +2 more sources

Adaptive fuzzy command filtered control for uncertain fractional order nonlinear systems with full state constraints [PDF]

open access: yesScientific Reports
This paper investigates the tracking control problem for fractional-order (FO) nonlinear systems with model uncertainties and external disturbances under full-state constraints.
Ruixia Liu   +3 more
doaj   +2 more sources

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