Araştırma Makalesi

SOME NEW INTEGRAL INEQUALITIES VIA CAPUTO-FABRIZIO FRACTIONAL INTEGRAL OPERATOR

Cilt: 6 Sayı: 2 30 Aralık 2023
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SOME NEW INTEGRAL INEQUALITIES VIA CAPUTO-FABRIZIO FRACTIONAL INTEGRAL OPERATOR

Öz

In this note, we have established some new integral inequalities for product of two integrable functions by using Young inequality with a wellknown classical inequality via Caputo-Fabrizio fractional integral operators. Then, we have given some special cases of the main findings. The main results have potential to usage in inequality theory.

Anahtar Kelimeler

Kaynakça

  1. 1. Abdeljawad, T., Baleanu, D. (2017). Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel. J. Nonlinear Sci. Appl., 10, 1098–1107.
  2. 2. Abdeljawad, T., Baleanu, D. (2017). On fractional derivatives with exponential kernel and their discrete versions. Reports on Mathematical Physics, 80(1), 11-27.
  3. 3. Atangana, A., Baleanu, D. (2016). New fractional derivatives with non-local and non-singular kernel: Theory and Application to heat transfer model. Thermal Science, 20 (2), 763-769.
  4. 4. Tariq, M., Ahmad, H., Shaikh, A. G., Sahoo, S. K., Khedher, K. M., Gia, T. N. (2022). New fractional integral inequalities for preinvex functions involving Caputo Fabrizio operator. AIMS Mathematics,7(3):3440–3455.
  5. 5. Caputo, M., Fabrizio, M. (2015). A new definition of fractional derivative without singular kernel. Progress in Fractional Differentiation & Applications, 1(2), 73-85.
  6. 6. Abdeljawad, T. (2015). On conformable fractional calculus. Journal of Computational and Applied Mathematics, 279, 57-66.
  7. 7. Akdemir, A.O., Aslan, S., Çakaloğlu, M.N. and Set, E. New Hadamard Type Integral Inequalities via Caputo-Fabrizio Fractional Operators. 4th International Conference on Mathematical and Related Sciences. Page (91) ICMRS 2021.
  8. 8. Akdemir, A., Aslan, S., Ekinci, A. (2022). Novel Approaches for s-Convex Functions via Caputo-Fabrizio Fractional integrals. Proceedings of IAM, 11(1), 3-16.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Operatör Cebirleri ve Fonksiyonel Analiz

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2023

Gönderilme Tarihi

21 Haziran 2023

Kabul Tarihi

31 Ağustos 2023

Yayımlandığı Sayı

Yıl 2023 Cilt: 6 Sayı: 2

Kaynak Göster

APA
Aslan, S. (2023). SOME NEW INTEGRAL INEQUALITIES VIA CAPUTO-FABRIZIO FRACTIONAL INTEGRAL OPERATOR. Natural and Applied Sciences Journal, 6(2), 24-30. https://doi.org/10.38061/idunas.1318116
AMA
1.Aslan S. SOME NEW INTEGRAL INEQUALITIES VIA CAPUTO-FABRIZIO FRACTIONAL INTEGRAL OPERATOR. IDU Natural and Applied Sciences Journal (IDUNAS). 2023;6(2):24-30. doi:10.38061/idunas.1318116
Chicago
Aslan, Sinan. 2023. “SOME NEW INTEGRAL INEQUALITIES VIA CAPUTO-FABRIZIO FRACTIONAL INTEGRAL OPERATOR”. Natural and Applied Sciences Journal 6 (2): 24-30. https://doi.org/10.38061/idunas.1318116.
EndNote
Aslan S (01 Aralık 2023) SOME NEW INTEGRAL INEQUALITIES VIA CAPUTO-FABRIZIO FRACTIONAL INTEGRAL OPERATOR. Natural and Applied Sciences Journal 6 2 24–30.
IEEE
[1]S. Aslan, “SOME NEW INTEGRAL INEQUALITIES VIA CAPUTO-FABRIZIO FRACTIONAL INTEGRAL OPERATOR”, IDU Natural and Applied Sciences Journal (IDUNAS), c. 6, sy 2, ss. 24–30, Ara. 2023, doi: 10.38061/idunas.1318116.
ISNAD
Aslan, Sinan. “SOME NEW INTEGRAL INEQUALITIES VIA CAPUTO-FABRIZIO FRACTIONAL INTEGRAL OPERATOR”. Natural and Applied Sciences Journal 6/2 (01 Aralık 2023): 24-30. https://doi.org/10.38061/idunas.1318116.
JAMA
1.Aslan S. SOME NEW INTEGRAL INEQUALITIES VIA CAPUTO-FABRIZIO FRACTIONAL INTEGRAL OPERATOR. IDU Natural and Applied Sciences Journal (IDUNAS). 2023;6:24–30.
MLA
Aslan, Sinan. “SOME NEW INTEGRAL INEQUALITIES VIA CAPUTO-FABRIZIO FRACTIONAL INTEGRAL OPERATOR”. Natural and Applied Sciences Journal, c. 6, sy 2, Aralık 2023, ss. 24-30, doi:10.38061/idunas.1318116.
Vancouver
1.Sinan Aslan. SOME NEW INTEGRAL INEQUALITIES VIA CAPUTO-FABRIZIO FRACTIONAL INTEGRAL OPERATOR. IDU Natural and Applied Sciences Journal (IDUNAS). 01 Aralık 2023;6(2):24-30. doi:10.38061/idunas.1318116