On some integral inequalities using Hadamard fractional integral
Downloads
DOI:
https://doi.org/10.26637/mjm0101/008Abstract
In this paper, using Hadamard fractional integral, we establish two main new result on fractional integral inequalities by considering the extended Chebyshev functional in case of synchronous function. The first result concerns with some inequalities using one fractional parameter and other with two parameter.
Keywords:
Chebyshev functional, Hadamard fractional integral, Hadamard fractional derivative and fractional integral inequalityMathematics Subject Classification:
26D10, 26A33- Pages: 62-66
- Date Published: 01-09-2012
- Vol. 1 No. 1 (2012): Inaugural Issue :: Malaya Journal of Matematik (MJM)
A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Application of Fractional Differential Equations, Elsevier, Amersterdam, 2006.
D. Baleanu, J.A.T. Machado and C.J. Luo, Fractional Dynamic and Control, Springer, 2012, pp.159-171. DOI: https://doi.org/10.1007/978-1-4614-0457-6
G. A. Anastassiou, Fractional Differentiation Inequalities, Springer Publishing Company, Incorporated, New York, NY, 2009. DOI: https://doi.org/10.1007/978-0-387-98128-4
S.G. Somko, A.A. Kilbas and O.I. Marichev, Fractional Integral and Derivative Theory and Application, Gordon and Breach, Yverdon, Switzerland, 1993.
S. Belarbi and Z. Dahmani, On some new fractional integral inequality, J. Inequal. Pure and Appl.Math., 10(3)(2009), Art. 86, 5 pp.
Z. Dahmani, New inequalities in fractional integrals, Int. J. Nonlinear Sci., 9(4)(2010), 493-497.
Z. Dahmani, On Minkowski and Hermit-Hadamard integral inequalities via fractional integration, Ann. Funct. Anal., 1(1)(2010), 51-58. DOI: https://doi.org/10.15352/afa/1399900993
Z. Dahmani, The Riemann-Liouville operator to genarate some new inequalities, Int. J. Nonlinear Sci., 12(4)(2011), 452-455.
Z. Dahmani, Some results associate with fractional integrals involving the extended Chebyshev, Acta Univ. Apulensis Math. Inform., 27(2011), 217-224.
W. Yang, Some new fractional quantum integral inequalities, Appl. Math. Latt., 25(6)(2012), 963-969. DOI: https://doi.org/10.1016/j.aml.2011.11.005
- NA
Similar Articles
- Said Abbas, Mouffak Benchohra, Existence and stability for fractional order integral equations with multiple time delay in Fr´echet spaces , Malaya Journal of Matematik: Vol. 1 No. 1 (2012): Inaugural Issue :: Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2012 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.