Research Article

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

Volume: 4 Number: 2 March 1, 2016
EN

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

References

  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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

M. Esra Yildirim This is me
Türkiye

Huseyin Yildirim Yildirim This is me
Türkiye

Publication Date

March 1, 2016

Submission Date

January 4, 2016

Acceptance Date

March 24, 2016

Published in Issue

Year 1970 Volume: 4 Number: 2

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, and 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 (March 1, 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, and H. Y. Yildirim, “On some integral inequalities for (k,h)−Riemann-Liouville fractional integral”, New Trends in Mathematical Sciences, vol. 4, no. 2, pp. 138–146, Mar. 2016, [Online]. Available: 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 (March 1, 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, et al. “On Some Integral Inequalities for (k,h)−Riemann-Liouville Fractional Integral”. New Trends in Mathematical Sciences, vol. 4, no. 2, Mar. 2016, pp. 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]. 2016 Mar. 1;4(2):138-46. Available from: https://izlik.org/JA43MP64JN