Results 21 to 30 of about 5,356 (162)
Fractal and Fractional, 2023 In this study, we analyze the transmission of the COVID-19 model by using a piecewise operator in the classical Caputo sense. The existence along with the uniqueness of the solution of the COVID-19 model under a piecewise derivative is presented.
Shabir Ahmad +3 more
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Approximate Solution of Fractional Integro-Differential Equations by Using Bernstein Polynomials [PDF]
Engineering and Technology Journal, 2012 In this paper, Bernstein piecewise polynomial is used to approximate the solution of the fractional integro-differential equations, in which the fractional derivative is described in the (Caputo) sense. Examples are considered to verify the effectiveness
Osama H. Mohammed, Sarmad A. Altaie
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TOPOLOGICAL ALGORITHMS TO SOLVE INVERSE PROBLEM IN ELECTRICAL TOMOGRAPHY
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2017 In this paper, there were investigated topological algorithms to solve the inverse problem in electrical tomography. The level set method, material derivative, shape derivative and topological derivative are based on shape and topology optimization ...
Tomasz Rymarczyk
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Rhythmic behaviors of the human heart with piecewise derivative.
Mathematical biosciences and engineering : MBE, 2022 It has been noticed that heartbeats can display different patterns according to situations faced by a human. It has been indicated that, those passages from one pattern to another cannot be modelled using a single differential operator, either classical, fractional, or stochastic.
Atangana, Abdon, Igret Araz, Seda
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Reachability Problems for Hierarchical Piecewise Constant Derivative Systems [PDF]
, 2013 In this paper, we investigate the computability and complexity of reachability problems for two-dimensional hierarchical piecewise constant derivative (HPCD) systems. The main interest in HPCDs stems from the fact that their reachability problem is on the border between decidability and undecidability, since it is equivalent to that of reachability for
Paul C. Bell, Shang Chen
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On Hill's equation with a discontinuous coefficient
International Journal of Mathematics and Mathematical Sciences, 2003 We research the asymptotic formula for the lengths of the instability intervals of the Hill's equation with coefficients q(x) and r(x), where q(x) is piecewise continuous and r(x) has a piecewise continuous second derivative in open intervals (0,b) and ...
Ilkay Yaslan Karaca
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Mathematical Modelling and Analysis, 2022 This paper proposes virtual element methods for approximating the mathematical model consisting of coupled poroelastic and Advection-Diffusion-Reaction (ADR) equations.
Nitesh Verma, Sarvesh Kumar
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Piecewise derivatives versus short memory concept: analysis and application.
Mathematical biosciences and engineering : MBE, 2022 We have provided a detailed analysis to show the fundamental difference between the concept of short memory and piecewise differential and integral operators. While the concept of short memory leads to different long tails in different intervals of time or space as a result of a power law with different fractional orders, the concept of piecewise helps
Atangana, Abdon, Araz, Seda İğret
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Journal of Low Frequency Noise, Vibration and Active Control, 2021 In this paper, the dynamic response of a piecewise linear single-degree-of-freedom oscillator with fractional-order derivative is studied. First, a mathematical model of the single-degree-of-freedom system is established, and the approximate steady-state
Jun Wang +5 more
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Jordan–Hölder theorems for derived module categories of piecewise hereditary algebras
Journal of Algebra, 2012 A Jordan H lder theorem is established for derived module categories of piecewise hereditary algebras. The resulting composition series of derived categories are shown to be independent of the choice of bounded or unbounded derived module categories, and also of the choice of finitely generated or arbitrary modules.
ANGELERI, LIDIA +2 more
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