Open AccessSome new generalizations for exponentially (s, m)-preinvex functions considering generalized fractional integral operators
Author(s) -
Farhat Safdar,
Muhammad Attique
Publication year - 2021
Publication title -
the punjab university journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 1016-2526
DOI - 10.52280/pujm.2021.531203
Subject(s) - mathematics , fractional calculus , convexity , type (biology) , function (biology) , hadamard transform , mittag leffler function , convex function , hermite polynomials , integral equation , fourier integral operator , generalized function , pure mathematics , mathematical analysis , regular polygon , ecology , geometry , evolutionary biology , financial economics , economics , biology
The generalized fractional integral has been one of the most useful operators for modelling non-local behaviors by fractional differential equations. It is considered, for several integral inequalities by introducing the concept of exponentially (s, m)-preinvexity. These variantsderived via an extended Mittag-Leffler function based on boundedness, continuity and Hermite-Hadamard type inequalities. The consequences associated with fractional integral operators are more general and also present the results for convexity theory. Moreover, we point out that the variants are useful in solving the problems of science, engineering andtechnology where the Mittag-Leffler function occurs naturally.