Multifractal analysis of financial markets: A review

ZQ Jiang, WJ Xie, WX Zhou… - Reports on Progress in …, 2019 - iopscience.iop.org
Multifractality is ubiquitously observed in complex natural and socioeconomic systems.
Multifractal analysis provides powerful tools to understand the complex nonlinear nature of …

On history of mathematical economics: Application of fractional calculus

VE Tarasov - Mathematics, 2019 - mdpi.com
Modern economics was born in the Marginal revolution and the Keynesian revolution. These
revolutions led to the emergence of fundamental concepts and methods in economic theory …

[图书][B] Mittag-Leffler functions, related topics and applications

R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin - 2020 - Springer
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

[图书][B] Fractional calculus: models and numerical methods

D Baleanu, K Diethelm, E Scalas, JJ Trujillo - 2012 - books.google.com
The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …

A comparative analysis of fractional-order Kaup–Kupershmidt equation within different operators

NA Shah, YS Hamed, KM Abualnaja, JD Chung… - Symmetry, 2022 - mdpi.com
In this paper, we find the solution of the fractional-order Kaup–Kupershmidt (KK) equation by
implementing the natural decomposition method with the aid of two different fractional …

[图书][B] Fractional calculus and waves in linear viscoelasticity: an introduction to mathematical models

F Mainardi - 2022 - books.google.com
Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained
treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation …

Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater

I Ahmad, I Ali, R Jan, SA Idris, M Mousa - Plos one, 2023 - journals.plos.org
The study presents a meshless computational approach for simulating the three-
dimensional multi-term time-fractional mobile-immobile diffusion equation in the Caputo …

Analysis of fractional differential equations

K Diethelm, NJ Ford - Journal of Mathematical Analysis and Applications, 2002 - Elsevier
We discuss existence, uniqueness, and structural stability of solutions of nonlinear
differential equations of fractional order. The differential operators are taken in the Riemann …

Mathematical analysis of a fractional differential model of HBV infection with antibody immune response

J Danane, K Allali, Z Hammouch - Chaos, Solitons & Fractals, 2020 - Elsevier
Fractional differential mathematical model describing the dynamics of hepatitis B viral
infection with DNA-containing capsids, the liver hepatocytes and the humoral immune …

The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

R Metzler, J Klafter - Journal of Physics A: Mathematical and …, 2004 - iopscience.iop.org
Fractional dynamics has experienced a firm upswing during the past few years, having been
forged into a mature framework in the theory of stochastic processes. A large number of …