Subordination principle and Feynman-Kac formulae for generalized time-fractional evolution equations

Christian Bender, Marie Bormann, Yana A. Butko

We consider generalized time-fractional evolution equations of the form $$u(t)=u_0+{\int }_0^{t}k(t,s)Lu(s)ds$$ with a fairly general memory kernel $k$ and an operator $L$ being the gen…