Book chapter
Fractional Index Problems
Dynamics with Inequalities, pp.273-282
Other Titles in Applied Mathematics, Society for Industrial and Applied Mathematics
01/01/2011
DOI: 10.1137/1.9781611970715.ch7
Abstract
Perhaps, it … prompted l'Hospital to ask [about
d
n
y
/
d
x
n
] “What if n be 1/2?”. Leibnitz, in 1695, replied “It will lead to a paradox” but added … “From this apparent paradox, one day useful consequences will be drawn.”
Virginia Kiryakova
Fractional index differential variational inequalities (DVIs) are not mixed-index DVIs. In fact, of the problems considered in this book, only convolution complementarity problems (CCPs) can be considered to have a noninteger index. However, they can arise naturally, as in the example of Petrov and Schatzman [207] for a viscoelastic rod striking a rigid surface at one end.
Details
- Title: Subtitle
- Fractional Index Problems
- Creators
- David E Stewart - University of Iowa
- Resource Type
- Book chapter
- Publication Details
- Dynamics with Inequalities, pp.273-282
- Series
- Other Titles in Applied Mathematics
- DOI
- 10.1137/1.9781611970715.ch7
- Publisher
- Society for Industrial and Applied Mathematics
- Language
- English
- Date published
- 01/01/2011
- Academic Unit
- Mathematics
- Record Identifier
- 9984242431102771
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