TY - CHAP
T1 - Integral representations
AU - Ortigueira, Manuel Duarte
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=79959702317&partnerID=8YFLogxK
U2 - 10.1007/978-94-007-0747-4_3
DO - 10.1007/978-94-007-0747-4_3
M3 - Chapter
AN - SCOPUS:79959702317
SN - 9789400707467
T3 - Lecture Notes in Electrical Engineering
SP - 43
EP - 69
BT - Fractional Calculus for Scientists and Engineers
ER -