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Differential equations with tempered Ψ-Caputo fractional derivative [PDF]
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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Fractional variational problems with the Riesz–Caputo derivative [PDF]
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 [PDF]
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, Alfred Peris
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Unexpected behavior of Caputo fractional derivative [PDF]
Computational and Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rubens de Figueiredo Camargo +1 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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On applications of Caputo k-fractional derivatives [PDF]
Advances in Difference Equations, 2019 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
Ghulam Farid +5 more
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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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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
Asifa Tassaddiq +2 more
exaly +3 more sources
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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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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