I am stuck with calculating the Laplace transform of $$ f(t)=\frac{1}{1 + t^q}, \quad q<1 $$ Is it related to the Mittag-Leffler function $E_{a,a}$?
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1$\mathcal L[f]$ can be evaluated by applying the Mellin convolution method. – Maxim Nov 12 '22 at 12:53
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I have a doubt about the result in the post. I think it is valid only if β=1. – user48672 Nov 20 '22 at 12:50