Results 1 to 10 of about 6,401,396 (254)
The Fractional Sallen-Key Filter Described by Local Fractional Derivative
IEEE Access, 2020 The local fractional derivative (LFD) has attracted wide attention in the field of engineering application. In this paper, the LFD is used to model the fractional Sallen-Key filter for the first time.
Kang-Jia Wang +2 more
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A new analysis for Klein-Gordon model with local fractional derivative
Alexandria Engineering Journal, 2020 This work adopts Yang’s local fractional derivative to define the fractional Klein-Gordon equation in a fractal space or microgravity space. The variational principle of local fractional Klein-Gordon equation is successfully established via fractional ...
KangLe Wang, KangJia Wang
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A ℘-order R-L high-pass filter modeled by local fractional derivative
Alexandria Engineering Journal, 2020 As an important electronic device, filter is applied to all kinds of electronic products. In this paper, a new ℘-order R-L High-pass filter (HPF) modeled by the local fractional derivative (LFD) is proposed for the first time.
Kang-jia Wang, Cui-ling Li
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Local fractional Elzaki transform and its application to local fractional differential equations
Journal of New Results in Science, 2021 The objective of our work is to couple the Elzaki transform method and the local fractional derivative which is called local fractional Elzaki transform, where we have provided important results of this transformation as local fractional Laplace-Elzaki ...
Mountassir Hamdi Cherif, Djelloul Ziane
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On Λ-Fractional Viscoelastic Models
Axioms, 2021 Λ-Fractional Derivative (Λ-FD) is a new groundbreaking Fractional Derivative (FD) introduced recently in mechanics. This derivative, along with Λ-Transform (Λ-T), provides a reliable alternative to fractional differential equations’ current solving.
Anastassios K. Lazopoulos +1 more
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Economic models involving time fractal [PDF]
Mathematics and Modeling in Finance, 2021 In this article, the price adjustment equation has been proposed and studied in the frame of fractal calculus which plays an important role in market equilibrium.
Alireza Khalili Golmankhaneh +3 more
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Fractal Stochastic Processes on Thin Cantor-Like Sets
Mathematics, 2021 We review the basics of fractal calculus, define fractal Fourier transformation on thin Cantor-like sets and introduce fractal versions of Brownian motion and fractional Brownian motion. Fractional Brownian motion on thin Cantor-like sets is defined with
Alireza Khalili Golmankhaneh +1 more
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A Malaria Status Model: The Perspective of Mittag-Leffler Function with Stochastic Component
Communication in Biomathematical Sciences, 2022 Malaria continues to affect many individuals irrespective of the status or class particularly in Sub-Saharan Africa. In this work, an existing malaria status classical model is studied in fractionalized perspective.
Ebenezer Bonyah
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Journal of Advanced Research, 2023 Introduction: Recently, a new family of fractional derivatives called the piecewise fractional derivatives has been introduced, arguing that for some problems, each of the classical fractional derivatives may not be able to provide an accurate statement ...
Mohammad Hossein Heydari +2 more
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Stability and numerical simulation of a fractional order plant-nectar-pollinator model
Alexandria Engineering Journal, 2020 In this article, a plant-nectar-pollinator (PNP) model has been generalized involving Atangana-Baleanu fractional-order derivative. This new kind of derivative provide us important information of variables specially used in the complex system.
Aziz Khan +3 more
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