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Fractional approximation of solutions of evolution equations. (English) Zbl 1338.34109

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 \(\delta \to 1+0\).

MSC:

34G10 Linear differential equations in abstract spaces
35R11 Fractional partial differential equations
30B40 Analytic continuation of functions of one complex variable
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