Anomalous transport in the crowded world of biological cells

F Höfling, T Franosch - Reports on Progress in Physics, 2013 - iopscience.iop.org
A ubiquitous observation in cell biology is that the diffusive motion of macromolecules and
organelles is anomalous, and a description simply based on the conventional diffusion …

The application of continuous-time random walks in finance and economics

E Scalas - Physica A: Statistical Mechanics and its Applications, 2006 - Elsevier
This paper reviews some applications of continuous time random walks (CTRWs) to Finance
and Economics. It is divided into two parts. The first part deals with the connection between …

[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 …

[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 …

[图书][B] Theory and applications of fractional differential equations

AA Kilbas, HM Srivastava, JJ Trujillo - 2006 - books.google.com
This monograph provides the most recent and up-to-date developments on fractional
differential and fractional integro-differential equations involving many different potentially …

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 …

Caputo-type modification of the Hadamard fractional derivatives

F Jarad, T Abdeljawad, D Baleanu - Advances in Difference Equations, 2012 - Springer
Generalization of fractional differential operators was subjected to an intense debate in the
last few years in order to contribute to a deep understanding of the behavior of complex …

Stability analysis of Caputo fractional-order nonlinear systems revisited

H Delavari, D Baleanu, J Sadati - Nonlinear Dynamics, 2012 - Springer
In this paper stability analysis of fractional-order nonlinear systems is studied. An extension
of Lyapunov direct method for fractional-order systems using Bihari's and Bellman …

[图书][B] Fractional calculus and fractional processes with applications to financial economics: Theory and application

H Fallahgoul, S Focardi, F Fabozzi - 2016 - books.google.com
Fractional Calculus and Fractional Processes with Applications to Financial Economics
presents the theory and application of fractional calculus and fractional processes to …

[PDF][PDF] The analysis of fractional differential equations

K Diethelm, NJ Ford - Lecture notes in mathematics, 2010 - academia.edu
Analysis of Fractional Differential Equations Page 1 See discussions, stats, and author profiles
for this publication at: https://www.researchgate.net/publication/222299516 Analysis of …