Structure of fractional spaces generated by second order difference operators
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, cilt.351, sa.2, ss.713-731, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 351 Sayı: 2
- Basım Tarihi: 2014
- Doi Numarası: 10.1016/j.jfranklin.2013.07.009
- Dergi Adı: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.713-731
- Hacettepe Üniversitesi Adresli: Evet
Özet
A second order difference operator with nonlocal boundary conditions is considered. The positivity of this operator in Banach spaces is proved. Moreover, the structure of the fractional spaces generated by this operator is investigated. Furthermore, the positivity of this operator in Holder spaces is proved. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.