Results 21 to 30 of about 6,401,396 (254)
Consensus of Multiagent Systems Described by Various Noninteger Derivatives
Complexity, 2019 In this paper, we unify and extend recent developments in Lyapunov stability theory to present techniques to determine the asymptotic stability of six types of fractional dynamical systems.
G. Nava-Antonio +4 more
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Fractional thermal diffusion and the heat equation
Open Physics, 2015 Fractional calculus is the branch of mathematical analysis that deals with operators interpreted as derivatives and integrals of non-integer order. This mathematical representation is used in the description of non-local behaviors and anomalous complex ...
Gómez Francisco +4 more
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The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators [PDF]
Sahand Communications in Mathematical Analysis, 2016 In this paper, we apply the local fractional Adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of Fredholm integral equations of the second kind within local fractional derivative operators.
Hassan Kamil Jassim
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Heat conduction with fractional Cattaneo–Christov upper-convective derivative flux model [PDF]
, 2016 Fractional order derivatives are global operators for which the time fractional order derivative possesses memory character while the space ones reflects non-local behavior.
Liu, Fawang +3 more
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Exact solutions of fractional mBBM equation and coupled system of fractional Boussinesq-Burgers
Results in Physics, 2018 The new exact solutions of nonlinear fractional partial differential equations (FPDEs) are established by adopting first integral method (FIM). The Riemann-Liouville (R-L) derivative and the local conformable derivative definitions are used to deal with ...
Shumaila Javeed +3 more
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Complexity, 2019 In this paper, the spectral transform with the reputation of nonlinear Fourier transform is extended for the first time to a local time-fractional Korteweg-de vries (tfKdV) equation.
Sheng Zhang, Yuanyuan Wei, Bo Xu
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LDG schemes with second order implicit time discretization for a fractional sub-diffusion equation
Results in Applied Mathematics, 2019 In this paper, we propose new local discontinuous Galerkin (LDG) schemes for solving a time fractional sub-diffusion equation. The new LDG schemes is constructed rely on the splitting of time fractional derivative and space derivative.
Can Li, Xiaorui Sun, Fengqun Zhao
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Unitary fractional-order derivative operators for quantum computation
, 2021 Along with recent progresses in quantum computation technologies, researchers have addressed practical computational supremacies of quantum computers. The research works in the quantum computation domain mainly focus on progressive quantum algorithms and
Alagoz B.B., Alagoz S.
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Advances in Mathematical Physics, 2017 We focus on developing the finite difference (i.e., backward Euler difference or second-order central difference)/local discontinuous Galerkin finite element mixed method to construct and analyze a kind of efficient, accurate, flexible, numerical schemes
Meilan Qiu, Liquan Mei, Dewang Li
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Spectral approximations to the fractional integral and derivative [PDF]
, 2012 In this paper, the spectral approximations are used to compute the fractional integral and the Caputo derivative. The effective recursive formulae based on the Legendre, Chebyshev and Jacobi polynomials are developed to approximate the fractional ...
Li, Changpin +5 more
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