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Perform a caputo fractional derivative?

Posted 6 years ago

How to construct a function in Mathematica that can perform n times Caputo derivatives inductively to a function u(x) with one variable with order [Alpha] where alpha is between 1 and 0 . for example ; I want to compute D^(1/2) n-times to a given function. so the inputs are (alpha ,n,a function u(x)) output are (n times Caputo derivative of u(x) of order alpha ) .

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