Add to ORKGWe consider a linear heat equation involving a fractional derivative in time, with a nonlocal boundary condition. We determine a source term independent of the space variable, and the temperature distribution for a problem with an over-determining condition of integral type. We prove the existence and uniqueness of the solution, and its continuous dependence on the data
This research determines an unknown source term in the fractional diffusion equation with the Rieman...
We prove estimates for the partial derivatives of the solution to a time-fractional diffusion equati...
AbstractIn this paper, we consider an inverse problem for a time-fractional diffusion equation in a ...
We consider a class of problems modeling the process of determining the temperature and density of n...
In this article we discuss a method for constructing trace formulae for the heat-volume potential o...
summary:We consider the problem of determining the unknown source term $ f=f(x,t) $ in a space fract...
Applying properties of the Laplace transform, the transient heat diffusion equation can be transform...
This paper is devoted to identify a space-dependent source function in a multiterm time-fractional d...
This book systematically presents solutions to the linear time-fractional diffusion-wave equation. I...
International audienceThis paper is concerned with the inverse problem of determining the time and s...
Abstract We study the Cauchy problem for a nonlocal heat equation, which is of fractional order bot...
Fractional calculus is the branch of mathematical analysis that deals with operators interpreted as ...
This paper describes reconstruction of the heat transfer coefficient occurring in the boundary co...
This paper extends the method, in which a Volterra-type integral equation that relates the local val...
The time-fractional heat conduction equation with the Caputo derivative of the order 0 ˂ α ˂ 2 is co...
This research determines an unknown source term in the fractional diffusion equation with the Rieman...
We prove estimates for the partial derivatives of the solution to a time-fractional diffusion equati...
AbstractIn this paper, we consider an inverse problem for a time-fractional diffusion equation in a ...
We consider a class of problems modeling the process of determining the temperature and density of n...
In this article we discuss a method for constructing trace formulae for the heat-volume potential o...
summary:We consider the problem of determining the unknown source term $ f=f(x,t) $ in a space fract...
Applying properties of the Laplace transform, the transient heat diffusion equation can be transform...
This paper is devoted to identify a space-dependent source function in a multiterm time-fractional d...
This book systematically presents solutions to the linear time-fractional diffusion-wave equation. I...
International audienceThis paper is concerned with the inverse problem of determining the time and s...
Abstract We study the Cauchy problem for a nonlocal heat equation, which is of fractional order bot...
Fractional calculus is the branch of mathematical analysis that deals with operators interpreted as ...
This paper describes reconstruction of the heat transfer coefficient occurring in the boundary co...
This paper extends the method, in which a Volterra-type integral equation that relates the local val...
The time-fractional heat conduction equation with the Caputo derivative of the order 0 ˂ α ˂ 2 is co...
This research determines an unknown source term in the fractional diffusion equation with the Rieman...
We prove estimates for the partial derivatives of the solution to a time-fractional diffusion equati...
AbstractIn this paper, we consider an inverse problem for a time-fractional diffusion equation in a ...