Results 21 to 30 of about 82,702 (262)
Volterra-Prabhakar derivative of distributed order and some applications
, 2022 The paper studies the exact solution of two kinds of generalized Fokker-Planck equations in which the integral kernels are given either by the distributed order function $k_{1}(t) = \int_{0}^{1} t^{-μ}/Γ(1- μ) dμ$ or the distributed order Prabhakar function $k_{2}(α, γ; λ; t) = \int_{0}^{1} e^{-γ}_{α, 1 - μ}(λ; t) dμ$, where the Prabhakar function is ...
Górska, K. +3 more
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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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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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Analysis of a Hidden-Memory Variably Distributed-Order Time-Fractional Diffusion Equation
Fractal and Fractional, 2022 We analyze the well-posedness and regularity of a variably distributed-order time-fractional diffusion equation (tFDE) with a hidden-memory fractional derivative, which provide a competitive means to describe the anomalously diffusive transport of ...
Jinhong Jia
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AIMS Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cruz, Fátima +2 more
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Energies, 2020 The development of portable electronic devices has greatly stimulated the need for miniaturized power sources. Planar supercapacitors are micro-scale electrochemical energy storage devices that can be integrated with other microelectronic devices on a ...
Evgeny P. Kitsyuk +2 more
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On Estimating Differential Conductance from Noisy I-V Measurements in Delineating Device Parameters [PDF]
Acta Electrotechnica et Informatica, 2017 Differential conductance is a key to characterizing a solid-state device. Estimation of differential conductance from current-voltage characteristic curve amounts to estimate the first order derivative from a discrete set of current-voltage measurements ...
Indrajit G. ROY
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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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Decay of solutions to parabolic-type problem with distributed order Caputo derivative [PDF]
Journal of Mathematical Analysis and Applications, 2018 We consider the decay of solution to fractional diffusion equation with the distributed order Caputo derivative. We assume that the elliptic operator is time-dependent and that the weight function contained in the definition of the distributed order Caputo derivative is just integrable. We establish the relation between behavior of weight function near
Kubica, Adam, Ryszewska, Katarzyna
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Application of fractional derivatives in a Darcy medium natural convection flow of MHD nanofluid
Ain Shams Engineering Journal, 2023 Nanofluid thermophysical characteristics are critical for predicting heat transfer behavior. This attempt provides a computational assessment of boundary layer flow and heat transfer behavior of fractional Maxwell viscoelastic nanofluid and their hybrids
Mumtaz Khan +3 more
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