Kochubei, Anatoly N.; Kondratiev, Yuri G. Fractional approximation of solutions of evolution equations. (English) Zbl 1338.34109 Analysis, München 36, No. 2, 71-73 (2016). Summary: We show how to approximate a solution of the first order linear evolution equation, together with its possible analytic continuation, using a solution of the time-fractional equation of order \(\delta>1\), where \(\delta \to 1+0\). Cited in 1 Document MSC: 34G10 Linear differential equations in abstract spaces 35R11 Fractional partial differential equations 30B40 Analytic continuation of functions of one complex variable Keywords:evolution equation; fractional differential equation; scale of Banach spaces; ovsyannikov’s method PDFBibTeX XMLCite \textit{A. N. Kochubei} and \textit{Y. G. Kondratiev}, Analysis, München 36, No. 2, 71--73 (2016; Zbl 1338.34109) Full Text: DOI arXiv