Title of article
On a Riemann–Liouville Generalized Taylor’s Formula*
Author/Authors
B. Bonilla and J. J. Trujillo، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 1999
Pages
11
From page
255
To page
265
Abstract
In this paper, a generalized Taylor’s formula of the kind
f x D
n XjD0
ajx − ajC1 −1 C Tnx;
where aj 2 , x > a, 0 1, is established. Such expression is precisely the classical
Taylor’s formula in the particular case D 1. In addition, detailed expressions
for Tnx and aj , involving the Riemann–Liouville fractional derivative, and some
applications are also given.
Keywords
Generalized Taylor’s formula , Riemann–Liouville operator , fractionalcalculus , Fractional differential equations
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
1999
Journal title
Journal of Mathematical Analysis and Applications
Record number
934473
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