(k, s)-Riemann-Liouville fractional integral and applications

Authors : Mehmet Zeki SARIKAYA, Zoubir DAHMANI, Mehmet Eyüp KIRIS, Farooq AHMAD

Pages : 77-89

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Publication Date : 2016-02-01

Article Type : Research Paper

Abstract :In this paper, we introduce a new approach on fractional integration, which generalizes the Riemann-Liouville fractional integral. We prove some properties for this new approach. We also establish some new integral inequalities using this new fractional integration.
Keywords : Riemann Liouville fractional integrals, synchronous function, Chebyshev inequality, Hölder inequality