On certain new CAUCHY–TYPE fracitioanl integral inequalities and OPIAL–TYPE fractional derivative inequalities

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Published: Mar 30, 2015
DOI: https://doi.org/10.5556/j.tkjm.46.2015.1586
Keywords:
Fractional Inequalities Riemann-Louville Fractional operators Erdely-Kober operators Opial fractional inequalities

Main Article Content

Amit Chouhan

Abstract

The aim of this paper is to establish several new fractional integral and derivative inequalities for non-negative and integrable functions. These inequalities related to the extension of general Cauchy type inequalities and involving Saigo, Riemann-Louville type fractional integral operators together with multiple Erdelyi-Kober operator. Furthermore the Opial-type fractional derivative inequality involving H-function is also established. The generosity of H-function could leads to several new inequalities that are of great interest of future research.

Article Details

How to Cite
Chouhan, A. (2015). On certain new CAUCHY–TYPE fracitioanl integral inequalities and OPIAL–TYPE fractional derivative inequalities. Tamkang Journal of Mathematics, 46(1), 67–73. https://doi.org/10.5556/j.tkjm.46.2015.1586
Issue
Vol. 46 No. 1 (2015)
Section
Papers
Author Biography

Amit Chouhan

Department ofMathematics, JIET-SETG, JIET Group of Institutions, Jodhpur 342002, India.

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