Open AccessNEW ESTIMATES OF INTEGRAL INEQUALITIES VIA GENERALIZED PROPORTIONAL FRACTIONAL INTEGRAL OPERATOR WITH RESPECT TO ANOTHER FUNCTION
Author(s) -
Saima Rashid,
Zakia Hammouch,
Fahd Jarad,
YuMing Chu
Publication year - 2020
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x20400277
Subject(s) - mathematics , operator (biology) , function (biology) , convex function , fractional calculus , inequality , pure mathematics , regular polygon , mathematical analysis , calculus (dental) , medicine , biochemistry , chemistry , geometry , dentistry , repressor , evolutionary biology , biology , transcription factor , gene
In this paper, the newly proposed concept of the generalized proportional fractional integral operator with respect to another function [Formula: see text] has been utilized to generate integral inequalities using convex function. This new concept will have the option to reduce self-similitudes in the fractional attractors under investigation. We discuss the implications and other consequences of the integral inequalities concerning the generalized proportional fractional integral operator with respect to another function [Formula: see text] are derived here and these outcomes permit us specifically to generalize some classical inequalities. Certain intriguing subsequent consequences of the fundamental hypotheses are also figured. It is to be supposed that this investigation will provide new directions in the quantum theory of capricious nature.