New posts in fractional-calculus

Do different methods of calculating fractional derivatives have to be equal?

comparison property for fractional derivative

Is $(1-x)^{\alpha} \log(1-x)$ a Sobolev function?

Calculating half derivative of $x$ using Cauchy's repeated integral formula

Complex derivative

What is the fractional constant of integration?

Bessel and cosine function identity formula

Taking the half-derivative of $e^x$

What is the half-derivative of zeta at $s=0$ (and how to compute it)?

Imaginary-Order Derivative

Half order derivative of $ {1 \over 1-x }$

Is it meaningful to take the derivative of a function a non-integer number of times?

Could you explain me the use of fractional derivatives?

Non integer derivative of $1/p(x)$

Solutions to this fractional differential equation

Fractional anti-derivatives and derivatives of the logarithm

Is there a notion of a complex derivative or complex integral?

Applications of Fractional Calculus

I can Euler-sum $\sqrt{\ln(1)}-\sqrt{\ln(2)}+\sqrt{\ln(3)}-\cdots$. But how can I do $\sqrt{\ln(1)}+\sqrt{\ln(2)}+\sqrt{\ln(3)}+\cdots$?

What does a "half derivative" mean?