This research considers an inverse source problem for fractional diffusion equation that
containing fractional derivative with non-singular and non-local kernel, namely, Atangana …

An inverse problem of determining a time dependent source term along with
diffusion/temperature concentration from a non-local over-specified condition for a space …

We consider two problems of recovering the source terms along with heat concentration for
a time fractional heat equation involving the so-called m th level fractional derivative …

In this paper, we apply the quasi-reversibility method to solve an inverse source problem for
a time-space fractional parabolic equation. Hölder-type error estimates for the regularized …

The inverse problem of recovering a source term along with diffusion concentration for a
generalized diffusion equation has been considered. The so-called 2nd level fractional …

Initial boundary value problems for a multi-term time fractional diffusion equation with
generalized fractional derivatives in t Page 1 http://www.aimspress.com/journal/Math AIMS …

In this paper, we consider the inverse source problem of heat conduction equation with time-
dependent diffusivity on a spherical symmetric domain. This problem is ill-posed, ie the …

The discretization of fractional-order differential operators is the key to the digital realization
of fractional-order controllers. This paper proposes an improved second-order fractional …

Mikusiński's operational calculus has proven to be a powerful tool for tackling various
fractional order differential equations. Notably, it has been extended to encompass the Hilfer …

Inverse source problems arise often in real-world applications, such as localizing unknown
groundwater contaminant sources. Being different from Tikhonov regularization, the quasi …