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The Samarskii problem for the fractal diffusion equation. (English. Russian original) Zbl 1333.35329

Math. Notes 95, No. 6, 815-819 (2014); translation from Mat. Zametki 95, No. 6, 878-883 (2014).
Summary: We prove the existence and uniqueness of the solution of the Samarskii problem in a modified setting for a loaded differential fractal diffusion equation and propose a constructive scheme for the equivalent reduction of this nonlocal boundary-value problem to the corresponding local problem.

MSC:

35R11 Fractional partial differential equations
35A01 Existence problems for PDEs: global existence, local existence, non-existence
35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness
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