Integral representations

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In the previous chapter we addressed the problem of fractional derivative definition and proposed the use the Grünwald-Letnikov and in particular the forward and backward derivatives. These choices were motivated by five main reasons they: do not need superfluous derivative computations, do not insert unwanted initial conditions, are more flexible, allow sequential computations, are more general in the sense of allowing to be applied to a large class of functions.

Original languageEnglish
Title of host publicationFractional Calculus for Scientists and Engineers
Number of pages27
Publication statusPublished - 2011

Publication series

NameLecture Notes in Electrical Engineering
Volume84 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119


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