On Certain New Cauchy-Type Fractional Integral Inequalities and Opial-Type Fractional Derivative Inequalities

10.5556/j.tkjm.46.2015.1586

Arif M. Khan；Amit Chouhan；Satish Saraswat

Tamkang Journal of Mathematics

46卷1期（2015 / 03 / 01）

67 - 73

英文

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 togetherwith 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.