Results 31 to 40 of about 82,702 (262)
Frontiers in Physics, 2020 Distributed-order fractional differential operators provide a powerful tool for mathematical modeling of multiscale multiphysics processes, where the differential orders are distributed over a range of values rather than being just a fixed fraction.
Ramy M. Hafez +3 more
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A numerical method for distributed-order time fractional 2D Sobolev equation
Results in Physics, 2023 In this work, the distributed-order time fractional 2D Sobolev equation is introduced. The orthonormal Bernoulli polynomials, as a renowned family of basis functions, are employed to solve this problem.
M.H. Heydari, S. Rashid, F. Jarad
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Diffusion with space memory modelled with distributed order space fractional differential equations
Annals of Geophysics, 2003 Distributed order fractional differential equations (Caputo, 1995, 2001; Bagley and Torvik, 2000a,b) were fi rst used in the time domain; they are here considered in the space domain and introduced in the constitutive equation of diffusion.
M. Caputo
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Mathematics, 2020 In this article, some high-order time discrete schemes with an H 1 -Galerkin mixed finite element (MFE) method are studied to numerically solve a nonlinear distributed-order sub-diffusion model.
Yaxin Hou +5 more
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Generalized distributed order diffusion equations with composite time fractional derivative
Computers & Mathematics with Applications, 2017 Computers and Mathematics with Applications (2016)
Trifce Sandev +2 more
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Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay
Discrete Dynamics in Nature and Society, 2014 This paper is concerned with the finite-time stability of Caputo fractional neural networks with distributed delay. The factors of such systems including Caputo’s fractional derivative and distributed delay are taken into account synchronously.
Abdulaziz Alofi +3 more
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Results in Physics, 2023 In this study, a system of coupled distributed-order fractional Klein–Gordon–Schrödinger equations is introduced. The distributed-order fractional derivative is generated based on the Caputo fractional differentiation.
M.H. Heydari
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Distributed order derivatives and relaxation patterns
Journal of Physics A: Mathematical and Theoretical, 2009 We consider equations of the form $(D_{( )}u)(t)=- u(t)$, $t>0$, where $ >0$, $D_{( )}$ is a distributed order derivative, that is the Caputo-Dzhrbashyan fractional derivative of order $ $, integrated in $ \in (0,1)$ with respect to a positive measure $ $. Such equations are used for modeling anomalous, non-exponential relaxation processes.
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Electronic Research Archive, 2022 <abstract><p>In this paper, we consider the time-fractional telegraph equation of distributed order in higher spatial dimensions, where the time derivative is in the sense of Hilfer, thus interpolating between the Riemann-Liouville and the Caputo fractional derivatives.
Vieira, Nelson +2 more
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Fractional diffusion equation with the distributed order Caputo derivative
, 2017 We consider fractional diffusion equation with the distributed order Caputo derivative. We prove existence of a weak and regular solution for general uniformly elliptic operator under the assumption that the weight function is only integrable.
Kubica, Adam, Ryszewska, Katarzyna
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