The Wright functions of the second kind in Mathematical Physics

F Mainardi, A Consiglio - Mathematics, 2020 - mdpi.com
In this review paper, we stress the importance of the higher transcendental Wright functions
of the second kind in the framework of Mathematical Physics. We first start with the analytical …

[图书][B] Handbook of fractional calculus with applications

A Kochubei, Y Luchko, VE Tarasov, I Petráš - 2019 - degruyter.com
FractionalCalculus (FC) originatedin1695, nearlyatthesametimeastheconventional calculus.
However, FC attracted limited attention and remained a pure mathematical exercise in spite …

A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations

R Ke, MK Ng, HW Sun - Journal of Computational Physics, 2015 - Elsevier
In this paper, we study the block lower triangular Toeplitz-like with tri-diagonal blocks system
which arises from the time-fractional partial differential equation. Existing fast numerical …

On a terminal value problem for a generalization of the fractional diffusion equation with hyper‐Bessel operator

NH Tuan, LN Huynh, D Baleanu… - … Methods in the Applied …, 2020 - Wiley Online Library
In this paper, we consider an inverse problem of recovering the initial value for a
generalization of time‐fractional diffusion equation, where the time derivative is replaced by …

Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping

B Jin, B Li, Z Zhou - Numerische Mathematik, 2020 - Springer
This article concerns second-order time discretization of subdiffusion equations with time-
dependent diffusion coefficients. High-order differentiability and regularity estimates are …

Identifying the space source term problem for a generalization of the fractional diffusion equation with hyper-Bessel operator

NH Luc, LN Huynh, D Baleanu, NH Can - Advances in Difference …, 2020 - Springer
In this paper, we consider an inverse problem of identifying the source term for a
generalization of the time-fractional diffusion equation, where regularized hyper-Bessel …

The Fokker–Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm

C Runfola, S Vitali, G Pagnini - Royal Society Open …, 2022 - royalsocietypublishing.org
By collecting from literature data experimental evidence of anomalous diffusion of passive
tracers inside cytoplasm, and in particular of subdiffusion of mRNA molecules inside live …

Initial boundary value problems for a fractional differential equation with hyper-Bessel operator

F Al-Musalhi, N Al-Salti, E Karimov - Fractional Calculus and Applied …, 2018 - degruyter.com
Direct and inverse source problems of a fractional diffusion equation with regularized
Caputo-like counterpart of a hyper-Bessel differential operator are considered. Solutions to …

Stochastic solutions of conformable fractional Cauchy problems

Y Çenesiz, A Kurt, E Nane - Statistics & Probability Letters, 2017 - Elsevier
Stochastic solutions of conformable fractional Cauchy problems - ScienceDirect Skip to main
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Analysis of dual Bernstein operators in the solution of the fractional convection–diffusion equation arising in underground water pollution

K Sayevand, JT Machado, I Masti - Journal of Computational and Applied …, 2022 - Elsevier
The Bernstein operators (BO) are not orthogonal, but they have duals, which are obtained by
a linear combination of BO. In recent years dual BO have been adopted in computer …