Results 1 to 10 of about 2,241 (195)
Modeling and simulation of the novel coronavirus in Caputo derivative. [PDF]
Results Phys, 2020 La enfermedad por coronavirus o COVID-19 es una enfermedad infecciosa causada por un coronavirus recién descubierto. La pandemia de COVID-19 es un pánico incitante para la salud humana y la economía, ya que hasta el momento no existe una vacuna o un tratamiento eficaz.
Awais M +4 more
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On the sectorial property of the Caputo derivative operator
Applied Mathematics Letters, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kazufumi Itô, Bangti Jin
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Fractional variational problems with the Riesz–Caputo derivative
Applied Mathematics Letters, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ricardo Almeida
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Dynamics of the Caputo fractional derivative
Fractional Calculus and Applied AnalysisAbstract In this article we analyse the dynamical behaviour of the Caputo complex fractional derivative. We prove that the Caputo complex fractional derivative operator is Devaney chaotic in the Mittag-Leffler Caputo space. We will also show that a tuple of different iterates of a Caputo derivative multiple is disjoint hypercyclic.
Marina Murillo-Arcila, Alfredo Peris
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A fractional model of cancer-immune system with Caputo and Caputo–Fabrizio derivatives [PDF]
The European Physical Journal Plus, 2021 Recently, it is important to try to understand diseases with large mortality rates worldwide, such as infectious disease and cancer. For this reason, mathematical modeling can be used to comment on diseases that adversely affect all people. So, this paper discuss mathematical model presented for the first time that examines the interaction between ...
Uçar, Esmehan, Özdemir, Necati
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Approximation of the Riesz–Caputo Derivative by Cubic Splines [PDF]
Algorithms, 2022 Differential problems with the Riesz derivative in space are widely used to model anomalous diffusion. Although the Riesz–Caputo derivative is more suitable for modeling real phenomena, there are few examples in literature where numerical methods are used to solve such differential problems.
Francesca Pitolli +2 more
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On Riemann‐Liouville and Caputo Derivatives [PDF]
Discrete Dynamics in Nature and Society, 2011 Recently, many models are formulated in terms of fractional derivatives, such as in control processing, viscoelasticity, signal processing, and anomalous diffusion. In the present paper, we further study the important properties of the Riemann‐Liouville (RL) derivative, one of mostly used fractional derivatives.
Changpin Li, Deliang Qian, YangQuan Chen
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Fractional Telegraph Equation with the Caputo Derivative
Fractal and Fractional, 2023 The Cauchy problem for the telegraph equation (Dtρ)2u(t)+2αDtρu(t)+Au(t)=f(t) (0<t≤T,0<ρ<1, α>0), with the Caputo derivative is considered. Here, A is a selfadjoint positive operator, acting in a Hilbert space, H; Dt is the Caputo fractional derivative.
Ravshan Ashurov, Rajapboy Saparbayev
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On applications of Caputo k-fractional derivatives [PDF]
Advances in Difference Equations, 2019 Abstract This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et al. in IEEE Access 7:32137–32145, 2019) for Caputo k-fractional derivatives, several integral inequalities are derived ...
Ghulam Farid +5 more
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On Caputo Fractional Derivatives via Convexity [PDF]
Kragujevac Journal of Mathematics, 2020 Summary: In this paper some estimations of Caputo fractional derivatives via convexity have been presented. By using convexity of any positive integer order differentiable function some novel results are given.
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