Further Midpoint Inequalities via Generalized Fractional Operators in Riemann-Liouville Sense

Hyder A., Budak H., Almoneef A. A.

FRACTAL AND FRACTIONAL, cilt.6, sa.9, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 9
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3390/fractalfract6090496
  • Dergi Adı: FRACTAL AND FRACTIONAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, INSPEC, Directory of Open Access Journals
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this study, new midpoint-type inequalities are given through recently generalized Riemann-Liouville fractional integrals. Foremost, we present an identity for a class of differentiable functions including the proposed fractional integrals. Then, several midpoint-type inequalities containing generalized Riemann-Liouville fractional integrals are proved by employing the features of convex and concave functions. Furthermore, all obtained results in this study can be compared to previously published results.