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Questions regarding derivatives and integrals of non-integer order.

3 votes
2 answers
147 views

$C^{k,\alpha}$ dependence of ODE solutions on initial data

I faced such a question. Consider the Cauchy problem for an ODE: $$ \begin{cases} y'=F(t,y)\\ y(0)=y_0. \end{cases} $$ Assume $F$ has the regularity $C^{k,\alpha}$ (i.e. it has partial derivatives of …
Ilya Kossovskiy's user avatar