Araştırma Makalesi

On Caputo Fractional Derivatives via Exponential s-Convex Functions

Cilt: 5 Sayı: 2 31 Ekim 2020
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On Caputo Fractional Derivatives via Exponential s-Convex Functions

Abstract

In this paper, we establish several new integral inequalities including Caputo fractional integrals for exponential s-convex functions. By using convexity for exponential s-convex functions of any integer order differentiable function some novel results are given.

In this paper, we establish several new integral inequalities including Caputo fractional integrals for exponential s-convex functions. By using convexity for exponential s-convex functions of any integer order differentiable function some novel results are given.

Keywords

Kaynakça

  1. A. A. Kilbas, H.M. Srivastava, J. J. Trujillo, Theory and applications of Fractional Differential Equations,North-Holland Mathematics Studies, Elsevier, New York-London, 2006.
  2. C. P. Li and W. H. Deng, Remarks on fractional derivatives, Appl. Math. Comput., 187(2) (2007), 777-784.
  3. G. Farid, S. Naqvi and A. U. Rehman, A version of the Hadamard inequality for Caputo fractional derivatives and related results, RGMIA Research Report Collection, 20 (2017).
  4. G. Farid,On Caputo Fractional Derivatives Via Convexity,Kragujevac Journal Of Mthematics, 44(3),(2020), 393-399.
  5. G.H. Hardy, J.E. Littlewood, G. Polya, Inequalities,Cambridge, UK : Cambridge University Press, Cambridge mathematical library, 1952.
  6. H.Hudzik, L. Maligranda,Some remarks on s-convex functions,Aequ. Math. 48(1), 1994, 100-111.
  7. L. N. Mishra, Q. U. Ain, G. Farid and A. U. Rehman, k−fractional integral inequalities for (h,m)− convex functions via Caputo k− fractional derivatives, The Korean Journal of Mathematics, 27(2), (2019), 357-374.
  8. M. Caputo,Linear model of dissipation whose Q is almost frequency independent Geophysical Journal International, 13(5), 1967, 529-539.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

31 Ekim 2020

Gönderilme Tarihi

24 Nisan 2020

Kabul Tarihi

30 Ekim 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 5 Sayı: 2

Kaynak Göster

APA
Butt, S. I., Nadeem, M., & Farid, G. (2020). On Caputo Fractional Derivatives via Exponential s-Convex Functions. Turkish Journal of Science, 5(2), 140-146. https://izlik.org/JA62PR88NP
AMA
1.Butt SI, Nadeem M, Farid G. On Caputo Fractional Derivatives via Exponential s-Convex Functions. TJOS. 2020;5(2):140-146. https://izlik.org/JA62PR88NP
Chicago
Butt, Saad Ihsan, Mehroz Nadeem, ve Ghulam Farid. 2020. “On Caputo Fractional Derivatives via Exponential s-Convex Functions”. Turkish Journal of Science 5 (2): 140-46. https://izlik.org/JA62PR88NP.
EndNote
Butt SI, Nadeem M, Farid G (01 Ekim 2020) On Caputo Fractional Derivatives via Exponential s-Convex Functions. Turkish Journal of Science 5 2 140–146.
IEEE
[1]S. I. Butt, M. Nadeem, ve G. Farid, “On Caputo Fractional Derivatives via Exponential s-Convex Functions”, TJOS, c. 5, sy 2, ss. 140–146, Eki. 2020, [çevrimiçi]. Erişim adresi: https://izlik.org/JA62PR88NP
ISNAD
Butt, Saad Ihsan - Nadeem, Mehroz - Farid, Ghulam. “On Caputo Fractional Derivatives via Exponential s-Convex Functions”. Turkish Journal of Science 5/2 (01 Ekim 2020): 140-146. https://izlik.org/JA62PR88NP.
JAMA
1.Butt SI, Nadeem M, Farid G. On Caputo Fractional Derivatives via Exponential s-Convex Functions. TJOS. 2020;5:140–146.
MLA
Butt, Saad Ihsan, vd. “On Caputo Fractional Derivatives via Exponential s-Convex Functions”. Turkish Journal of Science, c. 5, sy 2, Ekim 2020, ss. 140-6, https://izlik.org/JA62PR88NP.
Vancouver
1.Saad Ihsan Butt, Mehroz Nadeem, Ghulam Farid. On Caputo Fractional Derivatives via Exponential s-Convex Functions. TJOS [Internet]. 01 Ekim 2020;5(2):140-6. Erişim adresi: https://izlik.org/JA62PR88NP