New fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator
Sahoo Soubhagya Kumar; Gia Tuan Nguyen; Tariq Muhammaed; Ahmad Hijaz; Shaikh Abdul Ghafoor; Khedher Khaled Mohamed
New fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator
Sahoo Soubhagya Kumar
Gia Tuan Nguyen
Tariq Muhammaed
Ahmad Hijaz
Shaikh Abdul Ghafoor
Khedher Khaled Mohamed
AMER INST MATHEMATICAL SCIENCES-AIMS
Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2022012711080
https://urn.fi/URN:NBN:fi-fe2022012711080
Tiivistelmä
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.
Kokoelmat
- Rinnakkaistallenteet [19207]