Inverse Cauchy problem for fractional diffusion equation with generalized functions in the right-hand sides

• Datum: 2016
• Hauptverfasser: Lopushanska, G. P., Rapita, V. R., Лопушанська, Г. П., Рапіта, В. Р.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут математики НАН України 2016
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/214
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

We establish the unique solvability of the inverse Cauchy problem for a time fractional diffusion equation with distributions in the right-hand sides of the equation and in the initial condition. This problem is to find the pair of the following functions: the generalized solution (continuous in tim...