Abstract. The one-dimensional time-fractional advection-diffusion equation with the Caputo time derivative is considered. The fundamental solution to the Cauchy problem is obtained using the integral transform technique. The numerical results are illustrated graphically
We consider a time and space-symmetric fractional diffusion equation (TSS-FDE) under homogeneous Dir...
In this article, we suggest three methods to address the time-space fractional diffusion equations w...
This book systematically presents solutions to the linear time-fractional diffusion-wave equation. I...
The one-dimensional time-fractional advection-diffusion equation with the Caputo time derivative is ...
The one-dimensional time-fractional advection-diffusion equation with the Caputo time derivative is ...
Two approaches resulting in two different generalizations of the space-time-fractional advection-dif...
The fundamental solutions to time-fractional advection diffusion equation in a plane and a half-plan...
In this paper, we get exact solution of the time-fractional advection-dispersion equation with react...
The method of integral transforms based on using a fractional gener-alization of the Fourier transfo...
A powerful algorithm is proposed to get the solutions of the time fractional Advection-Diffusion equ...
In the present paper, time fractional partial differential equation is considered, where the fractio...
This article investigates the approximate analytical solutions of the time-fractional diffusion equa...
In this paper, we are interested in the study of a Caputo time fractional advection–diffusion equati...
Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.The method of integral transfor...
We discuss the method of Laplace and Fourier integral transforms to investigation of differential eq...
We consider a time and space-symmetric fractional diffusion equation (TSS-FDE) under homogeneous Dir...
In this article, we suggest three methods to address the time-space fractional diffusion equations w...
This book systematically presents solutions to the linear time-fractional diffusion-wave equation. I...
The one-dimensional time-fractional advection-diffusion equation with the Caputo time derivative is ...
The one-dimensional time-fractional advection-diffusion equation with the Caputo time derivative is ...
Two approaches resulting in two different generalizations of the space-time-fractional advection-dif...
The fundamental solutions to time-fractional advection diffusion equation in a plane and a half-plan...
In this paper, we get exact solution of the time-fractional advection-dispersion equation with react...
The method of integral transforms based on using a fractional gener-alization of the Fourier transfo...
A powerful algorithm is proposed to get the solutions of the time fractional Advection-Diffusion equ...
In the present paper, time fractional partial differential equation is considered, where the fractio...
This article investigates the approximate analytical solutions of the time-fractional diffusion equa...
In this paper, we are interested in the study of a Caputo time fractional advection–diffusion equati...
Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.The method of integral transfor...
We discuss the method of Laplace and Fourier integral transforms to investigation of differential eq...
We consider a time and space-symmetric fractional diffusion equation (TSS-FDE) under homogeneous Dir...
In this article, we suggest three methods to address the time-space fractional diffusion equations w...
This book systematically presents solutions to the linear time-fractional diffusion-wave equation. I...