CERTAIN FRACTIONAL INTEGRAL INEQUALITIES ASSOCIATED WITH PATHWAY FRACTIONAL INTEGRAL OPERATORS

Title & Authors
CERTAIN FRACTIONAL INTEGRAL INEQUALITIES ASSOCIATED WITH PATHWAY FRACTIONAL INTEGRAL OPERATORS
Agarwal, Praveen; Choi, Junesang;

Abstract
During the past two decades or so, fractional integral inequalities have proved to be one of the most powerful and far-reaching tools for the development of many branches of pure and applied mathematics. Very recently, many authors have presented some generalized inequalities involving the fractional integral operators. Here, using the pathway fractional integral operator, we give some presumably new and potentially useful fractional integral inequalities whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville type fractional integral operators. Relevant connections of the results presented here with those earlier ones are also pointed out.
Keywords
integral inequalities;Chebyshev functional;Riemann-Liouville fractional integral operator;$\small{P{\acute{o}}lya}$ and $\small{Szeg{\ddot{o}}}$ type inequalities;pathway fractional integral operator;
Language
English
Cited by
1.
Certain Nonlinear Integral Inequalities and Their Applications, Discrete Dynamics in Nature and Society, 2017, 2017, 1
2.
A new type of the Gronwall-Bellman inequality and its application to fractional stochastic differential equations, Cogent Mathematics, 2017, 4, 1
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