Results 11 to 20 of about 56,900 (290)
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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Caputo Fractional Derivative and Quantum-Like Coherence. [PDF]
Entropy (Basel), 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.
Culbreth G +3 more
europepmc +7 more sources
A Caputo fractional derivative of a function with respect to another function [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2016 This is a preprint of a paper whose final and definite form will be published in the journal Communications in Nonlinear Science and Numerical ...
R. Almeida
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Caputo derivatives of fractional variable order: Numerical approximations [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2015 This is a preprint of a paper whose final and definite form is in Communications in Nonlinear Science and Numerical Simulation, ISSN: 1007-5704.
Dina Tavares +2 more
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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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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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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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Variational Problems Involving a Caputo-Type Fractional Derivative [PDF]
Journal of Optimization Theory and Applications, 2016 The aim of this paper is to study certain problems of calculus of variations, that are dependent upon a Lagrange function on a Caputo-type fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo--Hadamard fractional derivatives, that are dependent on a real parameter ro.
Ricardo Almeida
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Generalized Laplace transform and tempered ψ-Caputo fractional derivative
Mathematical Modelling and Analysis, 2023 In this paper, images of the tempered Ψ-Hilfer fractional integral and the tempered Ψ-Caputo fractional derivative under the generalized Laplace transform are derived.
M. Medveď, M. Pospíšil
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Fractal and Fractional, 2023 In this study, we present a new notion of nonlocal closed boundary conditions. Equipped with these conditions, we discuss the existence of solutions for a mixed nonlinear differential equation involving a right Caputo fractional derivative operator, and ...
B. Ahmad, Manal Alnahdi, S. Ntouyas
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