An Application of Multiple Erdélyi-Kober Fractional Integral Operators to Establish New Inequalities Involving a General Class of Functions
Document Type
Article
Publication Date
8-1-2024
Abstract
This research aims to develop generalized fractional integral inequalities by utilizing multiple Erd & eacute;lyi-Kober (E-K) fractional integral operators. Using a set of j, with (j is an element of N) positively continuous and decaying functions in the finite interval a <= t <= x, the Fox-H function is involved in establishing new and novel fractional integral inequalities. Since the Fox-H function is the most general special function, the obtained inequalities are therefore sufficiently widespread and significant in comparison to the current literature to yield novel and unique results.
Keywords
Fox-H function, generalized inequalities, multiple Erd & eacute, lyi-Kober (E-K) fractional integral transforms, continuous functions, mathematical operators
Divisions
MathematicalSciences
Funders
Deanship of Postgraduate Studies and Scientific Research at Majmaah University (ICR-2024-1194)
Publication Title
Fractal and Fractional
Volume
8
Issue
8
Publisher
MDPI
Publisher Location
ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND