Results 11 to 20 of about 6,540 (265)
Collocation Method for Optimal Control of a Fractional Distributed System
Fractal and Fractional, 2022 In this paper, a collocation method based on the Jacobi polynomial is proposed for a class of optimal-control problems of a fractional distributed system. By using the Lagrange multiplier technique and fractional variational principle, the stated problem
Wen Cao, Yufeng Xu
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Numerical Solution of Caputo-Fabrizio Time Fractional Distributed Order Reaction-diffusion Equation via Quasi Wavelet based Numerical Method [PDF]
Journal of Applied and Computational Mechanics, 2020 In this paper, we derive a novel numerical method to find out the numerical solution of fractional partial differential equations (PDEs) involving Caputo-Fabrizio (C-F) fractional derivatives. We first find out the approximation formula of C-F derivative
Sachin Kumar +1 more
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Fractional diffusion equation with distributed-order Caputo derivative [PDF]
Journal of Integral Equations and Applications, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kubica, Adam, Ryszewska, Katarzyna
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Fractional diffusion equation with distributed-order material derivative. Stochastic foundations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2017 In this paper we present stochastic foundations of fractional dynamics driven by fractional material derivative of distributed order-type. Before stating our main result we present the stochastic scenario which underlies the dynamics given by fractional material derivative.
Magdziarz, M., Teuerle, M.
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Recovery of a distributed order fractional derivative in an unknown medium
Communications in Mathematical Sciences, 2023 In this work, we study an inverse problem of recovering information about the weight in distributed-order time-fractional diffusion from the observation at one single point on the domain boundary. In the absence of an explicit knowledge of the medium, we prove that the one-point observation can uniquely determine the support bound of the weight.
Jin, B, Kian, Y
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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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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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Remarks on fractional derivatives of distributions*
Tbilisi Mathematical Journal, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Chenkuan, Li, Changpin
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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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Mathematics, 2020 Fractional differential equations with impulses arise in modeling real world phenomena where the state changes instantaneously at some moments. Often, these instantaneous changes occur at random moments.
Ravi Agarwal +3 more
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