Submitted:
30 May 2022
Posted:
31 May 2022
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Abstract
Power series expansions are useful in approximation theory and mathematical physics. The manuscript presents several types of fractional Taylor expansions of sufficiently smooth functions. This is achieved by employing an incremental regularization procedure to the computation of the derivative. The series are constructed in an algorithmic way, which allows for its implementation in computer algebra systems.
Keywords:
holder classes
; local fractional derivative
; fractional velocity
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