Open AccessNew fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator
Author(s) -
Muhammad Tariq,
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Hijaz Ahmad,
Abdul Ghafoor Shaikh,
Soubhagya Kumar Sahoo,
Khaled Mohamed Khedher,
Tuan Nguyen Gia,
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Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022191
Subject(s) - fractional calculus , mathematics , hadamard transform , differentiable function , operator (biology) , hermite polynomials , type (biology) , inequality , pure mathematics , calculus (dental) , algebra over a field , mathematical analysis , medicine , ecology , biochemistry , chemistry , dentistry , repressor , biology , transcription factor , gene
It's undeniably true that fractional calculus has been the focus point for numerous researchers in recent couple of years. The writing of the Caputo-Fabrizio fractional operator has been on many demonstrating and real-life issues. The main objective of our article is to improve integral inequalities of Hermite-Hadamard and Pachpatte type incorporating the concept of preinvexity with the Caputo-Fabrizio fractional integral operator. To further enhance the recently presented notion, we establish a new fractional equality for differentiable preinvex functions. Then employing this as an auxiliary result, some refinements of the Hermite-Hadamard type inequality are presented. Also, some applications to special means of our main findings are presented.