Results 11 to 20 of about 16,801 (158)
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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A hybrid approach for piecewise fractional reaction–diffusion equations
Results in Physics, 2023 In this paper, the Caputo and Atangana–Baleanu fractional derivatives are handled to introduce a type of piecewise fractional derivative. More precisely, a linear combination of the Caputo and Atangana–Baleanu fractional derivatives are considered in ...
M.H. Heydari, Sh. Zhagharian
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Modeling Ebola Dynamics with a Φ-Piecewise Hybrid Fractional Derivative Approach
Fractal and FractionalEbola virus disease (EVD) is a severe and often fatal illness posing significant public health challenges. This study investigates EVD transmission dynamics using a novel fractional mathematical model with five distinct compartments: individuals with low susceptibility (S1), individuals with high susceptibility (S2), infected individuals (I), exposed ...
Tariq Alraqad +5 more
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Piecewise mABC fractional derivative with an application
AIMS Mathematics, 2023 <abstract><p>In this study, we give the notion of a piecewise modified Atangana-Baleanu-Caputo (mABC) fractional derivative and apply it to a tuberculosis model. This novel operator is a combination of classical derivative and the recently developed modified Atangana-Baleanu operator in the Caputo's sense.
Hasib Khan +3 more
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On Using Piecewise Fractional Differential Operator to Study a Dynamical System
Axioms, 2023 This research work is devoted to undertaking a dynamical system representing SARS-CoV-19 disease under the concept of piecewise fractional-order derivative using the Caputo concept since long-memory and short-memory terms are not well explained by ...
Shahid Khan +3 more
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Ulam-Type Stability Results for Variable Order Ψ-Tempered Caputo Fractional Differential Equations
Fractal and Fractional, 2023 An initial value problem for nonlinear fractional differential equations with a tempered Caputo fractional derivative of variable order with respect to another function is studied.
Donal O’Regan +2 more
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Results in Physics, 2022 We study the HIV/AIDS infection dynamics using the new concept of piecewise fractional differential equations in the sense of Atangana–Baleanu derivative.
Yi Zhao +5 more
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Studying the Dynamics of the Rumor Spread Model with Fractional Piecewise Derivative
Symmetry, 2023 Sensitively altered news, commonly referred to as rumors, can lead an individual, organization, or nation astray, potentially resulting in harm, even to the extent of causing violence among large groups of people. In this digital age, news can be easily twisted and rapidly spread through the internet and social media.
Badr Saad T. Alkahtani +1 more
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Convergence Analysis of Cubic Spline Function with Fractional Degree and Applications [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2023 In this paper, a fractional degree cubic spline scheme is proposed and analyzed for fractional order with the multi-term Riemann–Liouvile (R–L) derivatives. For the integral and fractional differential equations, we handle fractional continuity equations
Twana Hidayat +2 more
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Rossler’s system using piecewise derivative
Results in Physics, 2023 This article deals with a piecewise system named piecewise Rossler’s system which exhibits a concept of piecewise derivatives based on Classical-power-law randomness, Classical Mittag-Leffler-law-randomness, and Classical fading memory randomness ...
Atul Kumar
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