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Stochastic covid-19 model with fractional global and classical piecewise derivative [PDF]
Results in Physics, 2021 Several methodologies have been advocated in the last decades with the aim to better understand behaviours displayed by some real-world problems. Among which, stochastics modelling and fractional modelling, fuzzy and others. These methodologies have been
Sonal Jain, Youssef El-Khatib
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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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Numerical Derivative Using the Piecewise Uniform Mesh [PDF]
Kirkuk Journal of Science, 2018 In this paper, a technique of a piecewise-uniform meshes formed on an improvement finite difference algorithm for finding derivatives of functions. The purpose was to overcome difficulties which face numerical derivatives of functions with stiff formula,
Rafiq Muhammad
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Investigation and application of a classical piecewise hybrid with a fractional derivative for the epidemic model: Dynamical transmission and modeling. [PDF]
PLoS ONEIn this research, we developed an epidemic model with a combination of Atangana-Baleanu Caputo derivative and classical operators for the hybrid operator's memory effects, allowing us to observe the dynamics and treatment effects at different time phases
Muhammad Umer Saleem +5 more
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Mathematical analysis of dynamical systems involving Atangana–Baleanu piecewise derivative
Alexandria Engineering JournalMost mathematical models of epidemiology often assume initial conditions to be either zero or constant. However, this paper focuses on analyzing a mathematical model that addresses real-world problems encompassing diverse domains and varying initial data.
Ahsan Abbas +3 more
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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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A numerical study of dengue internal transmission model with fractional piecewise derivative
Results in Physics, 2022 The goal of this paper is to study the dynamics of the dengue internal transmission model using a novel piecewise derivative approach in the sense of singular and non-singular kernels.
Shabir Ahmad +5 more
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Piecewise Business Bubble System under Classical and Nonsingular Kernel of Mittag–Leffler Law
Entropy, 2023 This study aims to investigate the dynamics of three agents in the emerging business bubble model based on the Mittag–Leffler law pertaining to the piecewise classical derivative and non-singular kernel.
Chao Zhang, Bo Li
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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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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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