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Certain Generalized Fractional Integral Inequalities

Cilt: 4 Sayı: 4 30 Aralık 2020
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Certain Generalized Fractional Integral Inequalities

Öz

By employing the Saigo k-fractional integral operators, some new inequalities for the Chebyshev functional
are formulated for two synchronous functions in this article. Further generalisations of these inequalities,
including three monotonous functions, are also mentioned. In addition, as special cases of our key results,
inequalities for the Chebyshev functional about Saigo fractional integrals are obtained. The main results are
of a general nature and, as a special case, give rise to integral inequalities describing the Saigo's, Riemann-
Liouville and Erdélyi-Kober fractional integral operators referred to the literature.

Anahtar Kelimeler

Destekleyen Kurum

NIL

Proje Numarası

NIL

Teşekkür

NIL

Kaynakça

  1. [1] T. Abdeljawad, Q.M. Al-Mdallal and F. Jarad, Fractional logistic models in the frame of fractional operators generated by conformable derivatives, Chaos, Solitons and Fractals, 119(4), (2019), 94-101.
  2. [2] T. Abdeljawad, M.A. Hajji, Q. Al-Mdallal and F. Jarad, Analysis of some generalized ABC-Fractional logistic models, Alexandria Engineering Journal, 59(4), (2020), 2141-2148.
  3. [3] M.A. Alqudah, T. Abdeljawad, Eiman, K. Shah, F. Jarad and Q. Al-Mdalla, Existence theory and approximate solution to prey-predator coupled system involving nonsingular kernel type derivative, Adv. Diference Equ., 2020 (2020): 520.
  4. [4] Ritu Agarwal, M.P. Yadav, D. Baleanu, S.D. Purohit, Existence and uniqueness of miscible flow equation through porous media with a nonsingular fractional derivative, AIMS Mathematics, 5(2) (2020), 1062-1073.
  5. [5] A. Alshabanat, M. Jleli, S. Kumar and B. Samet, Generalization of Caputo-Fabrizio fractional derivative and applications to electrical circuits, Front. Phys., 8 (2020), Art. 64.
  6. [6] G.A. Anastassiou, Advances on Fractional Inequalities, Springer Briefs in Mathematics; Springer: New York, NY, USA, 2011.
  7. [7] S. Belarbi and Z. Dahmani, On some new fractional integral inequalities, J. Inequal. Pure Appl. Math., 10(3) (2009), Art. 86, 5 pp (electronic).
  8. [8] P.L. Chebyshev, Sur les expressions approximatives des integrales de?nies par les autres prises entre les me mes limites, Proc. Math. Soc. Charkov., 2 (1882), 93-98.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2020

Gönderilme Tarihi

28 Temmuz 2020

Kabul Tarihi

9 Ekim 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 4 Sayı: 4

Kaynak Göster

APA
Jangid, K., Prohit, S. D., Nisar, K. S., & Abdeljawad, T. (2020). Certain Generalized Fractional Integral Inequalities. Advances in the Theory of Nonlinear Analysis and its Application, 4(4), 252-259. https://doi.org/10.31197/atnaa.775089
AMA
1.Jangid K, Prohit SD, Nisar KS, Abdeljawad T. Certain Generalized Fractional Integral Inequalities. ATNAA. 2020;4(4):252-259. doi:10.31197/atnaa.775089
Chicago
Jangid, Kamlesh, Sunil Dutt Prohit, Kottakkaran Sooppy Nisar, ve Thabet Abdeljawad. 2020. “Certain Generalized Fractional Integral Inequalities”. Advances in the Theory of Nonlinear Analysis and its Application 4 (4): 252-59. https://doi.org/10.31197/atnaa.775089.
EndNote
Jangid K, Prohit SD, Nisar KS, Abdeljawad T (01 Aralık 2020) Certain Generalized Fractional Integral Inequalities. Advances in the Theory of Nonlinear Analysis and its Application 4 4 252–259.
IEEE
[1]K. Jangid, S. D. Prohit, K. S. Nisar, ve T. Abdeljawad, “Certain Generalized Fractional Integral Inequalities”, ATNAA, c. 4, sy 4, ss. 252–259, Ara. 2020, doi: 10.31197/atnaa.775089.
ISNAD
Jangid, Kamlesh - Prohit, Sunil Dutt - Nisar, Kottakkaran Sooppy - Abdeljawad, Thabet. “Certain Generalized Fractional Integral Inequalities”. Advances in the Theory of Nonlinear Analysis and its Application 4/4 (01 Aralık 2020): 252-259. https://doi.org/10.31197/atnaa.775089.
JAMA
1.Jangid K, Prohit SD, Nisar KS, Abdeljawad T. Certain Generalized Fractional Integral Inequalities. ATNAA. 2020;4:252–259.
MLA
Jangid, Kamlesh, vd. “Certain Generalized Fractional Integral Inequalities”. Advances in the Theory of Nonlinear Analysis and its Application, c. 4, sy 4, Aralık 2020, ss. 252-9, doi:10.31197/atnaa.775089.
Vancouver
1.Kamlesh Jangid, Sunil Dutt Prohit, Kottakkaran Sooppy Nisar, Thabet Abdeljawad. Certain Generalized Fractional Integral Inequalities. ATNAA. 01 Aralık 2020;4(4):252-9. doi:10.31197/atnaa.775089

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Some Generalized Special Functions and their Properties

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