how could i solve the differential equation with frational derivatives
$$ \frac{d^{s}}{dx^{s}}y(x) =y(x)$$
here 's' is a real number
my idea is to make the ansatz with the series $ y(x)= \sum_{n=0}^{\infty}a_{n}x^{n} $ and apply this series to the linear ODE.
but i have problems to get what cauchy initial conditions should i put in case of fractional derivatives..