Fractional calculus is at this stage an arena where many models are still to be introduced,
discussed and applied to real world applications in many branches of science and …

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

The use of fractional derivatives as a mathematical tool towards the development of more
robust mathematical models in certain areas of reservoir engineering is gaining attention in …

Inverse problems of determining sources of the fractional partial differential equations Page
1 Yikan Liu, Zhiyuan Li, and Masahiro Yamamoto Inverse problems of determining sources …

In recent years, considerable attention has been devoted to distributed-order differential
equations mainly because they appear to be more effective for modelling complex …

This paper is devoted to identifying a time-dependent source term in a multi-dimensional
time-fractional diffusion equation from boundary Cauchy data. The existence and …

In this paper, we study on an inverse problem to determine an unknown source term in a
time fractional diffusion equation, whereby the data are obtained at the later time. In general …

In the paper, we consider a time-space spectral method to get the numerical solution of time-
space fractional Fokker–Planck initial-boundary value problem. The temporal discretization …

The Fourier law correctly describes heat transport in most practical macroscopic problems.
However, for heat transfer in rapid processes, heat transport on micro-and nanoscales, and …

Proper estimation of the heat source during hyperthermia can destroy cancerous cells. One
of the most important challenges in treating cancer with hyperthermia is estimating the …