Results 221 to 230 of about 82,702 (262)

Identification of System with Distributed-Order Derivatives

Fractional Calculus and Applied Analysis, 2021
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Duan, Jun-Sheng, Li, Yu
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Transmutation operators intertwining first-order and distributed-order derivatives

Boletín de la Sociedad Matemática Mexicana, 2023
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Numerical solution of multidimensional time‐space fractional differential equations of distributed order with Riesz derivative

Mathematical Methods in the Applied Sciences, 2023
In this article, we derive a computational scheme joining the finite difference and operational matrix methods to numerically simulate fractional differential equations of distributed order with Riesz derivatives subject to the initial and Dirichlet boundary conditions.
Amer Abdulhussein Mohammed Ghuraibawi, H. R. Marasi, M. H. Derakhshan, Pushpendra Kumar   +3 more
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Distributed-order wave equations with composite time fractional derivative

International Journal of Computer Mathematics, 2017
In this paper we investigate the solution of generalized distributed order wave equations with composite time fractional derivative and external force, by using the Fourier-Laplace transform method. We represent the corresponding solutions in terms of infinite series in three parameter (Prabhakar) Mittag-Leffler and Fox H-functions, as well as in terms
Živorad Tomovski, Trifce Sandev
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Mechanical response and simulation for constitutive equations with distributed order derivatives

International Journal of Modeling, Simulation, and Scientific Computing, 2017
Mechanical response and simulation for constitutive equation with distributed order derivatives were considered. We investigated the creep compliance, creep recovery, relaxation modulus, stress–strain behavior under harmonic deformation for each case of two constitutive equations.
Jun-Sheng Duan, YangQuan Chen
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The Euler–Lagrange and Legendre equations for functionals involving distributed–order fractional derivatives

Applied Mathematics and Computation, 2018
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Ricardo Almeida, M. Luísa Morgado
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Stokes’ second problem of viscoelastic fluids with constitutive equation of distributed-order derivative

Applied Mathematics and Computation, 2018
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Jun-Sheng Duan, Xiang Qiu
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Wave simulation in dissipative media described by distributed-order fractional time derivatives

Journal of Vibration and Control, 2010
We develop and solve a dissipative model for the propagation and attenuation of two-dimensional dilatational waves, using a new modeling algorithm based on distributed-order fractional time derivatives. We consider two distributions. The first has n powers of the order of differentiation as the weight function, and the second is based on a generalized
Caputo, Michele, Carcione, José M.
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