Makhmud Sadybekov, Gulaiym Oralsyn
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.
Submitted August 22, 2016. Published August 31, 2017.
Math Subject Classifications: 26A33, 31A10.
Key Words: Time-fractional diffusion equation; fundamental solution;
time-fractional heat potential; layer potentials;
nonlocal boundary condition.
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Makhmud Sadybekov Institute of Mathematics and Mathematical Modeling 125 Pushkin str., 050010 Almaty, Kazakhstan email: sadybekov@math.kz | |
Gulaiym Oralsyn Institute of Mathematics and Mathematical Modeling 125 Pushkin str., 050010 Almaty, Kazakhstan email: g.oralsyn@list.ru |
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