Dynamical Analysis of Generalized Tumor Model with Caputo Fractional-Order Derivative
Fractal and Fractional, 2023 In this study, we perform a dynamical analysis of a generalized tumor model using the Caputo fractional-order derivative. Tumor growth models are widely used in biomedical research to understand the dynamics of tumor development and to evaluate potential
Ausif Padder +6 more
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Incomplete Caputo fractional derivative operators [PDF]
Advances in Difference Equations, 2018 The main aim of this paper is to give the definitions of Caputo fractional derivative operators and show their use in the special function theory. For this purpose, we introduce new types of incomplete hypergeometric functions and obtain their integral ...
Mehmet Ali Özarslan, Ceren Ustaoglu
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Modeling and simulation of the novel coronavirus in Caputo derivative. [PDF]
Results Phys, 2020 Awais M +4 more
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Applications of the Mittag-Leffler law to linear kinetic models & diffusion equations [PDF]
Scientific ReportsIn this paper, we find the solutions to kinetic models and a one-dimensional diffusion equation applied to the Atangana-Baleanu-Caputo fractional derivative (ABCFD).
Victor Tebogo Monyayi +2 more
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Heat transfer analysis in a second grade fluid over and oscillating vertical plate using fractional Caputo–Fabrizio derivatives [PDF]
European Physical Journal C, 2016 Nehad Ali Shah, Ilyas Khan
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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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Differential equations with tempered Ψ-Caputo fractional derivative
Mathematical Modelling and Analysis, 2021 In this paper we define a new type of the fractional derivative, which we call tempered Ψ−Caputo fractional derivative. It is a generalization of the tempered Caputo fractional derivative and of the Ψ−Caputo fractional derivative.
Milan Medveď, Eva Brestovanská
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An analytical solution for the Caputo type generalized fractional evolution equation
Alexandria Engineering Journal, 2022 The Caputo type generalized fractional evolution equation is studied in this paper. Since the Caputo type generalized fractional derivative is well-known for being the generalization of Caputo fractional derivatives, this article’s studies contribute to ...
Wannika Sawangtong, Panumart Sawangtong
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Caputo Fractional Derivative and Quantum-Like Coherence [PDF]
Entropy, 2021 We study two forms of anomalous diffusion, one equivalent to replacing the ordinary time derivative of the standard diffusion equation with the Caputo fractional derivative, and the other equivalent to replacing the time independent diffusion coefficient of the standard diffusion equation with a monotonic time dependence.
Garland Culbreth +3 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.
Deliang Qian, YangQuan Chen, Changpin Li
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