Results 21 to 30 of about 571,895 (212)
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.
openaire +2 more sources
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.
openaire +2 more sources
A Caputo fractional derivative-based algorithm for optimization
CoRR, 2021 We propose a novel Caputo fractional derivative-based optimization algorithm. Upon defining the Caputo fractional gradient with respect to the Cartesian coordinate, we present a generic Caputo fractional gradient descent (CFGD) method. We prove that the CFGD yields the steepest descent direction of a locally smoothed objective function.
Yeonjong Shin +2 more
openaire +2 more sources
A Nonlinear Implicit Fractional Equation with Caputo Derivative [PDF]
Journal of Mathematics, 2021 In this paper, we study a nonlinear implicit differential equation with initial conditions. The considered problem involves the fractional Caputo derivatives under some conditions on the order. We prove an existence and uniqueness analytic result by application of Banach principle.
openaire +2 more sources
Alexandria Engineering Journal, 2023 In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla +2 more
doaj +1 more source
A delayed plant disease model with Caputo fractional derivatives [PDF]
Advances in Continuous and Discrete Models, 2022 AbstractWe analyze a time-delay Caputo-type fractional mathematical model containing the infection rate of Beddington–DeAngelis functional response to study the structure of a vector-borne plant epidemic. We prove the unique global solution existence for the given delay mathematical model by using fixed point results. We use the Adams–Bashforth–Moulton
Pushpendra Kumar +4 more
openaire +3 more sources
Fractional variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
core +1 more source
Exact results for a fractional derivative of elementary functions
SciPost Physics, 2018 We present exact analytical results for the Caputo fractional derivative of a wide class of elementary functions, including trigonometric and inverse trigonometric, hyperbolic and inverse hyperbolic, Gaussian, quartic Gaussian, and Lorentzian ...
Gavriil Shchedrin, Nathanael C. Smith, Anastasia Gladkina, Lincoln D. Carr
doaj +1 more source
Generalized Laplace transform and tempered Ψ-Caputo fractional derivative [PDF]
, 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.
Pospíšil, Michal, Medveď, Milan
core +1 more source
Caputo and related fractional derivatives in singular systems [PDF]
Applied Mathematics and Computation, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dassios, Ioannis K., Baleanu, Dumitru
openaire +4 more sources