Fractional order partial differential equations are considered. The main attention is devoted to fractional in time diffusion equation. An interface problem for this equation is studied and its well posedness in the corresponding Sobolev like spaces is proved. Analogous results are obtained for a transmission problem in disjoint intervals. © 2013 Springer-Verlag.
CITATION STYLE
Jovanović, B. S., Vulkov, L. G., & Delić, A. (2013). Boundary value problems for fractional PDE and their numerical approximation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8236 LNCS, pp. 38–49). https://doi.org/10.1007/978-3-642-41515-9_4
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