Electron. J. Differential Equations, Vol. 2017 (2017), No. 201, pp. 1-7.

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

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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