The main purpose of this study is to establish new inequalities including Riemann-Liouville fractional integrals for various classes of functions with two variables. We first establish two identities involving Riemann-Liouville fractional integrals for higher-order partial differential functions. Then, some fractional Ostrowski type inequalities for functions of bounded variation of two variables are attained. Moreover, we present fractional integral inequalities for functions whose higher-order partial derivatives are elements of $L_{\infty }$ and $L_{1},$ respectively. Some special cases and midpoint versions of our main results are also examined.
Bounded functions fuctions of bounded variation fractional integrals Ostrowski type inequalities.
Birincil Dil | İngilizce |
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Konular | Yaklaşım Teorisi ve Asimptotik Yöntemler, Uygulamalı Matematik (Diğer) |
Bölüm | Articles |
Yazarlar | |
Erken Görünüm Tarihi | 29 Nisan 2024 |
Yayımlanma Tarihi | 30 Nisan 2024 |
Gönderilme Tarihi | 4 Aralık 2023 |
Kabul Tarihi | 14 Aralık 2023 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 12 Sayı: 1 |