Araştırma Makalesi

On some integral inequalities for (k,h)−Riemann-Liouville fractional integral

Cilt: 4 Sayı: 2 1 Mart 2016
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On some integral inequalities for (k,h)−Riemann-Liouville fractional integral

Abstract

In this study, giving the definition of fractional integral, which are with the help of synchronous and monotonic function,  some fractional integral inequalities have established.


Keywords

Kaynakça

  1. Anastassiou GA, Hooshmandasl MR, Ghasemi A, Moftakharzadeh F. Montgomery identities for fractional integrals and related fractional inequalities, J. Inequal. Pure Appl. Math., 10(4)(2009), 1-6.
  2. Anastassiou GA. Fractional Differentiation Inequalities, Springer Science, LLC, 2009.
  3. Belarbi S, Dahmani Z. On some new fractional integral inequalities, J. Inequal. Pure Appl. Math., 10(3)(2009), 1-12.
  4. Dahmani Z. New inequalities in fractional integrals, International Journal of Nonlinear Sciences, 9(4)(2010), 493-497.
  5. Dahmani Z. On Minkowski and Hermite-Hadamad integral inequalities via fractional integration, Ann. Funct. Anal., 1(1)(2010, 51-58.
  6. Dragomir SS. A generalization of Gruss’s inequality in inner product spaces and applications, J.Math. Annal. Appl., 237(1)(1999), 74-82.
  7. Mitrinovic DS, Pecaric JE, Fink AM. Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrecht, 1993.
  8. Pachpatte BG. On multidimensional Gruss type integral inequalities, J. Inequal. Pure Appl. Math., 32 (2002), 1-15. Qi F, Li AJ, Zhao WZ, Niu DW, Cao J. Extensions of several integral inequalities, J. Inequal. Pure Appl. Math., 7(3)(2006), 1-6.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

M. Esra Yildirim Bu kişi benim
Türkiye

Huseyin Yildirim Yildirim Bu kişi benim
Türkiye

Yayımlanma Tarihi

1 Mart 2016

Gönderilme Tarihi

4 Ocak 2016

Kabul Tarihi

24 Mart 2016

Yayımlandığı Sayı

Yıl 1970 Cilt: 4 Sayı: 2

Kaynak Göster

APA
Akkurt, A., Yildirim, M. E., & Yildirim, H. Y. (2016). On some integral inequalities for (k,h)−Riemann-Liouville fractional integral. New Trends in Mathematical Sciences, 4(2), 138-146. https://izlik.org/JA43MP64JN
AMA
1.Akkurt A, Yildirim ME, Yildirim HY. On some integral inequalities for (k,h)−Riemann-Liouville fractional integral. New Trends in Mathematical Sciences. 2016;4(2):138-146. https://izlik.org/JA43MP64JN
Chicago
Akkurt, Abdullah, M. Esra Yildirim, ve Huseyin Yildirim Yildirim. 2016. “On some integral inequalities for (k,h)−Riemann-Liouville fractional integral”. New Trends in Mathematical Sciences 4 (2): 138-46. https://izlik.org/JA43MP64JN.
EndNote
Akkurt A, Yildirim ME, Yildirim HY (01 Mart 2016) On some integral inequalities for (k,h)−Riemann-Liouville fractional integral. New Trends in Mathematical Sciences 4 2 138–146.
IEEE
[1]A. Akkurt, M. E. Yildirim, ve H. Y. Yildirim, “On some integral inequalities for (k,h)−Riemann-Liouville fractional integral”, New Trends in Mathematical Sciences, c. 4, sy 2, ss. 138–146, Mar. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA43MP64JN
ISNAD
Akkurt, Abdullah - Yildirim, M. Esra - Yildirim, Huseyin Yildirim. “On some integral inequalities for (k,h)−Riemann-Liouville fractional integral”. New Trends in Mathematical Sciences 4/2 (01 Mart 2016): 138-146. https://izlik.org/JA43MP64JN.
JAMA
1.Akkurt A, Yildirim ME, Yildirim HY. On some integral inequalities for (k,h)−Riemann-Liouville fractional integral. New Trends in Mathematical Sciences. 2016;4:138–146.
MLA
Akkurt, Abdullah, vd. “On some integral inequalities for (k,h)−Riemann-Liouville fractional integral”. New Trends in Mathematical Sciences, c. 4, sy 2, Mart 2016, ss. 138-46, https://izlik.org/JA43MP64JN.
Vancouver
1.Abdullah Akkurt, M. Esra Yildirim, Huseyin Yildirim Yildirim. On some integral inequalities for (k,h)−Riemann-Liouville fractional integral. New Trends in Mathematical Sciences [Internet]. 01 Mart 2016;4(2):138-46. Erişim adresi: https://izlik.org/JA43MP64JN