Finding a source of fractional diffusion equation

• Datum: 2017
• Hauptverfasser: Lopushansky, A. O., Lopushanska, G. P., Лопушанський, А. О., Лопушанська, Г. П.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут математики НАН України 2017
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/320
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

We study the inverse Cauchy problem to a time-space fractional diffusion equation. This problem is to find a time-dependent continuous part of a source and the Cauchy problem's solution, classical in time with values in Bessel potentials spaces.