Wirtinger-type inequalities for Caputo fractional derivatives via Taylor's formula
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we firstly derive a Wirtinger-type result, which gives the connection in between the integral of square of a function and the integral of square of its Caputo fractional derivatives with the help of left-sided and right-sided fractional Taylor's Formulas. Afterward, we provide a more general inequality involving Caputo fractional derivatives for L-r norm with r>1 via Holder's inequality. Also, similar inequalities for Riemann-Liouville fractional derivatives are presented by means of a relation between Caputo fractional derivatives and Riemann-Liouville fractional derivatives.
Açıklama
Anahtar Kelimeler
Wirtinger inequality, Caputo fractional derivatives, Taylor's formula
Kaynak
Journal of Inequalitiesand Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
2024
Sayı
1
