Abstract
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.
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Jovanović, B.S., Vulkov, L.G., Delić, A. (2013). Boundary Value Problems for Fractional PDE and Their Numerical Approximation. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2012. Lecture Notes in Computer Science, vol 8236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41515-9_4
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