On some integral inequalities using Hadamard fractional integral

Vaijanath L. Chinchanea,* and Deepak B. Pachpatteb

On some integral inequalities using Hadamard fractional integral

Authors :

Vaijanath L. Chinchane^a,* and Deepak B. Pachpatte^b

Author Address :

^aDepartment of Mathematics, Deogiri Institute of Engineering and Management Studies, Aurangabad-431005, India.
^bDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431 004, India.

*Corresponding author.

Abstract :

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 inequality.

DOI :

Article Info :

Received : October 07, 2012; Accepted : October 25, 2012.