Results 21 to 30 of about 47,231 (266)
Applied Mathematics Letters, 2021 In this paper, the Riesz-Caputo fractional derivative of variable order with fixed memory is considered. The studied non-integer differential operator is approximated by means of modified basic rules of numerical integration.
T. Blaszczyk +3 more
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A mathematical model for COVID-19 transmission by using the Caputo fractional derivative. [PDF]
Chaos Solitons Fractals, 2020 Tuan NH, Mohammadi H, Rezapour S.
europepmc +2 more sources
Modeling and analysis of the dynamics of novel coronavirus (COVID-19) with Caputo fractional derivative. [PDF]
Results Phys, 2021 Ali A +4 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 hamilton formalism within caputo’s derivative [PDF]
Czechoslovak Journal of Physics, 2006 In this paper we develop a fractional Hamiltonian formulation for dynamic systems defined in terms of fractional Caputo derivatives. Expressions for fractional canonical momenta and fractional canonical Hamiltonian are given, and a set of fractional Hamiltonian equations are obtained.
Baleanu, Dumitru, Agrawal, Om. P.
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AIMS Mathematics, 2022 In this paper, the solutions of some typical nonlinear fractional differential equations are discussed, and the implicit analytical solutions are obtained.
Zhoujin Cui
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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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Fractal and Fractional, 2023 This paper studies a new class of instantaneous and non-instantaneous impulsive boundary value problem involving the generalized ψ-Caputo fractional derivative with a weight.
Dongping Li +3 more
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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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Numerical solutions of fractional optimal control with Caputo–Katugampola derivative
Advances in Difference Equations, 2021 In this paper, we present a numerical technique for solving fractional optimal control problems with a fractional derivative called Caputo–Katugampola derivative. This derivative is a generalization of the Caputo fractional derivative.
N. H. Sweilam +2 more
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