The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
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 …
forged into a mature framework in the theory of stochastic processes. A large number 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 …
revolutions led to the emergence of fundamental concepts and methods in economic theory …
[BOOK][B] Mittag-Leffler functions, related topics and applications
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …
[BOOK][B] Fractional calculus: models and numerical methods
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 …
differential operators including integrals and derivatives of any arbitrary real or complex …
[BOOK][B] Functional fractional calculus
S Das - 2011 - Springer
When a new extraordinary and outstanding theory is stated, it has to face criticism and
skeptism, because it is beyond the usual concept. The fractional calculus though not new …
skeptism, because it is beyond the usual concept. The fractional calculus though not new …
[HTML][HTML] Finite difference approximations for fractional advection–dispersion flow equations
MM Meerschaert, C Tadjeran - Journal of computational and applied …, 2004 - Elsevier
Fractional advection–dispersion equations are used in groundwater hydrology to model the
transport of passive tracers carried by fluid flow in a porous medium. In this paper we …
transport of passive tracers carried by fluid flow in a porous medium. In this paper we …
The Tikhonov regularization method for the inverse source problem of time fractional heat equation in the view of ABC-fractional technique
This research considers an inverse source problem for fractional diffusion equation that
containing fractional derivative with non-singular and non-local kernel, namely, Atangana …
containing fractional derivative with non-singular and non-local kernel, namely, Atangana …
[HTML][HTML] Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
In this paper, we consider the numerical solution of a fractional partial differential equation
with Riesz space fractional derivatives (FPDE-RSFD) on a finite domain. Two types of FPDE …
with Riesz space fractional derivatives (FPDE-RSFD) on a finite domain. Two types of FPDE …
The use of finite difference/element approaches for solving the time-fractional subdiffusion equation
In this paper, two finite difference/element approaches for the time-fractional subdiffusion
equation with Dirichlet boundary conditions are developed, in which the time direction is …
equation with Dirichlet boundary conditions are developed, in which the time direction is …
Finite difference methods for two-dimensional fractional dispersion equation
Fractional order partial differential equations, as generalizations of classical integer order
partial differential equations, are increasingly used to model problems in fluid flow, finance …
partial differential equations, are increasingly used to model problems in fluid flow, finance …