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math.AP2024
Global well-posedness of space-time fractional diffusion equation with Rockland operator on graded Lie group
Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir
In this article, we examine the general space-time fractional diffusion equation for left-invariant hypoelliptic homogeneous operators on graded Lie groups. Our study covers import…
math.AP2024
Time-fractional discrete diffusion equation for Schrödinger operator
Aparajita Dasgupta, Shyam Swarup Mondal, Michael Ruzhansky +1
This article aims to investigate the semi-classical analog of the general Caputo-type diffusion equation with time-dependent diffusion coefficient associated with the discrete Schr…