Results 11 to 20 of about 1,127,182 (258)
Fractal and Fractional, 2022 Distributed-order, space-fractional diffusion equations are used to describe physical processes that lack power-law scaling. A fourth-order-accurate, A-stable time-stepping method was developed, analyzed, and implemented to solve inhomogeneous parabolic ...
Muhammad Yousuf +2 more
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Applied Sciences, 2021 A generalized mathematical model of the radial groundwater flow to or from a well is studied using the time-fractional derivative with Mittag-Lefler kernel.
Nehad Ali Shah +4 more
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General Fractional Calculus Operators of Distributed Order
Axioms, 2023 In this paper, two types of general fractional derivatives of distributed order and a corresponding fractional integral of distributed type are defined, and their basic properties are investigated.
Mohammed Al-Refai, Yuri Luchko
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Fractal and Fractional, 2021 We considered forced harmonic vibration systems with the Liouville–Weyl fractional derivative where the order is between 1 and 2 and with a distributed-order derivative where the Liouville–Weyl fractional derivatives are integrated on the interval [1, 2]
Jun-Sheng Duan, Di-Chen Hu
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Distributed-Order Non-Local Optimal Control [PDF]
Axioms, 2020 Distributed-order fractional non-local operators were introduced and studied by Caputo at the end of the 20th century. They generalize fractional order derivatives/integrals in the sense that such operators are defined by a weighted integral of different orders of differentiation over a certain range.
Faïçal Ndaïrou, Delfim F. M. Torres
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A generalised distributed‐order Maxwell model
Mathematical Methods in the Applied Sciences, 2022 In this work, we present a generalised viscoelastic model using distributed‐order derivatives. The model consists of two distributed‐order elements (distributed springpots) connected in series, as in the Maxwell model. The new model generalises the fractional viscoelastic model presented by Schiessel and Blumen and allows for a more broad and accurate ...
Luís L. Ferrás +2 more
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Fractional Langevin equations of distributed order [PDF]
Physical Review E, 2011 10 pages, 2 ...
Eab, C. H., Lim, S. C.
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Fractional-Order PII1/2DD1/2 Control: Theoretical Aspects and Application to a Mechatronic Axis
Applied Sciences, 2021 Fractional Calculus is usually applied to control systems by means of the well-known PIλDμ scheme, which adopts integral and derivative components of non-integer orders λ and µ. An alternative approach is to add equally distributed fractional-order terms
Luca Bruzzone +2 more
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Mathematics, 2020 We study an initial-boundary value problem for a fractional wave equation of time distributed-order with a nonlinear source term. The coefficients of the second order differential operator are dependent on the spatial and time variables.
Karel Van Bockstal
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Stability Analysis on Nabla Discrete Distributed-Order Dynamical System
Fractal and Fractional, 2022 This paper addresses the problems of the stability of a nabla discrete distributed-order dynamical system (NDDS). Firstly, based on a proposed generalized definition of discrete integral, some related definitions of nabla discrete distributed-order ...
Xiang Wu +3 more
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