Nonlocal initial boundary value problem for the time-fractional diffusion equation

Abstract

In this article we discuss a method for constructing trace formulae for the heat-volume potential of the time-fractional diffusion equation to lateral surfaces of cylindrical domains and use these conditions to construct as well as to study a nonlocal initial boundary value problem for the time-fractional diffusion equation.

Keywords

• Time-fractional diffusion equation
• fundamental solution
• time-fractional heat potential
• layer potentials
• nonlocal boundary condition