Works cited by this work

42 works

Work: The Explicit Formula for Solution of Anomalous Diffusion Equation in the Multi-Dimensional Space

The random walk's guide to anomalous diffusion: a fractional dynamics approach
Ralf Metzler, J. Klafter
Article200035 citations
ABI
Cauchy problem for fractional diffusion equations
Samuil D. Eidelman, Anatoly N. Kochubei
Article200424 citations
ABI
The H-Function
A. M. Mathai, Ram K. Saxena, H. J. Haubold
Book200919 citations
ABI
Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
Živorad Tomovski, R. Hilfer, H. M. Srivastava
Article201018 citations
ABI
Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
Yury Luchko
Article200911 citations
ABI
Fractal mobile/immobile solute transport
R. Schumer, David A. Benson, Mark M. Meerschaert +1
Article200311 citations
ABI
The fundamental solutions for the fractional diffusion-wave equation
Francesco Mainardi
Article199611 citations
ABI
A Practical Guide to Prabhakar Fractional Calculus
Andrea Giusti, Ivano Colombaro, Roberto Garra +4
Article20208 citations
ABI
Fractional Calculus: Integral and Differential Equations of Fractional Order
Rudolf Gorenflo, Francesco Mainardi
Preprint20087 citations
ABI
Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications
Yong Zhang, David A. Benson, Donald M. Reeves
Article20096 citations
ABI
The fundamental solution of the space-time fractional diffusion equation
Francesco Mainardi, Yuri Luchko, Gianni Pagnini
Preprint20075 citations
ABI
Fractional relaxation-oscillation and fractional diffusion-wave phenomena
Francesco Mainardi
Article19965 citations
ABI
Application of a fractional advection‐dispersion equation
David A. Benson, Stephen W. Wheatcraft, Mark M. Meerschaert
Article20005 citations
ABI
Exact Solutions and Their Asymptotic Behaviors for the Averaged Generalized Fractional Elastic Models
Can Li, Weihua Deng, Xiaoqin Shen
Article20144 citations
ABI
Chaos, fractional kinetics, and anomalous transport
G. M. Zaslavsky
Article20023 citations
ABI
Effects of a fractional friction with power-law memory kernel on string vibrations
Živorad Tomovski, Trifce Sandev
Article20113 citations
ABI
Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation
Yuri Luchko
Article20113 citations
ABI
On the existence of solutions of fractional integro-differential equations
A. Aghajani, Yaghoub Jalilian, Juan J. Trujillo
Article20112 citations
ABI
On the Theory of Linear Integral Equations
Einar Hille, J. D. Tamarkin
Article19302 citations
ABI
The Analytical Solution of Parabolic Volterra Integro- Differential Equations in the Infinite Domain
Yun Zhao, Fengqun Zhao
Article20162 citations
ABI
Propagation speed of the maximum of the fundamental solution to the fractional diffusion–wave equation
Yuri Luchko, Francesco Mainardi, Yuriy Povstenko
Article20132 citations
ABI
On the solution of fractional evolution equations
Anatoly A. Kilbas, T. Pierantozzi, Juan J. Trujillo +1
Article20042 citations
ABI
Multiscaling fractional advection‐dispersion equations and their solutions
R. Schumer, David A. Benson, Mark M. Meerschaert +1
Article20032 citations
ABI
A diffusion wave equation with two fractional derivatives of different order
Teodor M. Atanacković, Stevan Pilipović, Dušan Zorica
Article20072 citations
ABI
The time fractional diffusion-wave equation
Francesco Mainardi
Article19962 citations
ABI