Dergiler / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2023 / Cilt: 13 - Sayı: 1

Certain Saigo type fractional integral inequalities and their q-analogues

Sayfa
1–9
Yayın Tarihi
2023-12-17
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We also studied some special cases of these inequalities involving Riemann- Liouville and Erdelyi-Kober fractional integral operators.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The main purpose of the present article is to introduce certain new Saigo fractional integral inequalities and their q-extensions.
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Temel Bulgular & Veri:The main purpose of the present article is to introduce certain new Saigo fractional integral inequalities and their q-extensions.
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Sonuç & Katkı:We also studied some special cases of these inequalities involving Riemann- Liouville and Erdelyi-Kober fractional integral operators.
🔬Tür:Makale
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The main purpose of the present article is to introduce certain new Saigo fractional integral inequalities and their q-extensions. We also studied some special cases of these inequalities involving Riemann- Liouville and Erdelyi-Kober fractional integral operators.

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Bu Makaleye Atıf Yap

Agarwal, P., Momani, S., JAIN, S., Goyal, R. (2023). Certain Saigo type fractional integral inequalities and their q-analogues. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 13 - Sayı: 1, 1–9. https://doi.org/10.11121/ijocta.2023.1258

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Kaynakça (16)

  1. Baleanu, D., and Fernandez, A. (2019). On fractional operators and their classifications. Mathematics, 7(9), 830
  2. Ekinci, A., and Ozdemir, M. (2019). Some new integral inequalities via Riemann- Liouville integral operators. Applied and Computational Mathematics, 18(3)
  3. Butt, S.I., Nadeem, M., and Farid, G. (2020). On Caputo fractional derivatives via expo- nential s-convex functions. Turkish Journal of Science, 5(2), 140-146
  4. Kizil, S ̧., and Ardi ̧c, M.A. (2021). Inequalities for strongly convex functions via Atangana- Baleanu integral operators. Turkish Journal of Science, 6(2), 96-109
  5. Kalsoom, H., Ali, M.A., Abbas, M., Budak, H., and Murtaza G. (2022). Generalized quan- tum Montgomery identity and Ostrowski type inequalities for preinvex functions. TWMS Journal Of Pure And Applied Mathematics, 13(1), 72-90
  6. Zhou, S.S., Rashid, S., Parveen, S., Akdemir, A.O., and Hammouch, Z. (2021). New com- putations for extended weighted function- als within the Hilfer generalized proportional fractional integral operators. AIMS Mathe- matics, 6(5), 4507-4525
  7. Samko, S.G., Kilbas, A.A., Marichev, O.I. (1993). Fractional Integrals and Derivatives: Theory and Applications. Gordon and Breach: New York, NY, USA
  8. Sneddon, I.N. (1975). The use in mathe- matical physics of Erd ́elyi-Kober operators and of some of their generalizations. In Frac- tional Calculus and Its Applications (West Haven, CT, USA, 15–16 June 1974); Ross, B., Ed.; Lecture Notes in Mathematics; Springer: Berlin/Heidelberg, Germany; New York, NY, USA, 457, 37–79
  9. Saigo, M. (1978). A remark on integral opera- tors involving the Gauss hypergeometric func- tions. Mathematical Repository Kyushu Uni- versity, 11, 135-143
  10. Olver, W.J.F., Lozier, W.D., Boisvert, F.R., Clark, W.C. (2010). NIST Handbook of Math- ematical Functions. Cambridge University Press, New York, NY, USA
  11. Rainville, E.D. (1960). Special Functions. Macmillan: New York, NY, USA
  12. Kuang, J.C. (2004). Applied Inequalities. Shandong Science and Technology Press, Shandong, China
  13. Mitrinovi ́c, D.S. (1970). Analytic Inequali- ties. Springer, Berlin, Germany
  14. Chebyshev, P.L. (1882). Sur les expressions approximatives des integrales definies par les autres prises entre les mˆemes limites. Proceed- ings of Mathematical Society of Charkov, 2, 93-98
  15. Anastassiou, G.A. (2011). Advances on Frac- tional Inequalities. Springer Science & Busi- ness Media
  16. Belarbi, S., and Dahmani, Z. (2009