Results 11 to 20 of about 74,438 (274)

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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On the Solvability of Equations with a Distributed Fractional Derivative Given by the Stieltjes Integral

Mathematics, 2022
Linear equations in Banach spaces with a distributed fractional derivative given by the Stieltjes integral and with a closed operator A in the right-hand side are considered. Unlike the previously studied classes of equations with distributed derivatives,
Sergey M. Sitnik, Vladimir E. Fedorov, Nikolay V. Filin, Viktor A. Polunin   +3 more
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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, José Francisco Gómez-Aguilar   +1 more
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Herglotz Variational Problems Involving Distributed-Order Fractional Derivatives with Arbitrary Smooth Kernels

Fractal and Fractional, 2022
In this paper, we consider Herglotz-type variational problems dealing with fractional derivatives of distributed-order with respect to another function. We prove necessary optimality conditions for the Herglotz fractional variational problem with and without time delay, with higher-order derivatives, and with several independent variables.
Fátima Cruz, Ricardo Almeida, Natália Martins   +2 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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Time-fractional telegraph equation of distributed order in higher dimensions with Hilfer fractional derivatives

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, Rodrigues, M. Manuela, Ferreira, Milton   +2 more
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Orthonormal piecewise Vieta-Lucas functions for the numerical solution of the one- and two-dimensional piecewise fractional Galilei invariant advection-diffusion equations

Journal of Advanced Research, 2023
Introduction: Recently, a new family of fractional derivatives called the piecewise fractional derivatives has been introduced, arguing that for some problems, each of the classical fractional derivatives may not be able to provide an accurate statement ...
Mohammad Hossein Heydari, Mohsen Razzaghi, Dumitru Baleanu   +2 more
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Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional Derivatives [PDF]

Abstract and Applied Analysis, 2020
In this article, we survey the Lyapunov direct method for distributed-order nonlinear time-varying systems with the Prabhakar fractional derivatives. We provide various ways to determine the stability or asymptotic stability for these types of fractional differential systems.
MohammadHossein Derakhshan, Azim Aminataei   +1 more
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A computational approach for a system of coupled distributed-order fractional Klein–Gordon–Schrödinger equations

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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Optimality conditions for variational problems involving distributed-order fractional derivatives with arbitrary kernels

AIMS Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cruz, Fátima, Almeida, Ricardo, Martins, Natália   +2 more
openaire   +3 more sources