The Fractional Integral Inequalities Involving Saigo’s Operator and q-Extension | ||||
| Journal of Fractional Calculus and Applications | ||||
| Volume 15, Issue 1, January 2024, Page 1-6 PDF (305.75 K) | ||||
| Document Type: Regular research papers | ||||
| DOI: 10.21608/jfca.2024.265425.1063 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Altaf ahmad Bhat  1; Farooq Ahmad Sheikh2; D.K. Jain3; Ashfaq Hussain4; GM Wani5
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| 1Mathematics and computing skills, University of Technology and applied sciences, Sultanate of Oman | ||||
| 2Department of Mathematics, Government College for Women Nawakadal, Srinagar, Jammu and Kashmir, India. | ||||
| 3Department of Engineering Mathematics and Computing, Madhav Institute of Technology and Science, Gwalior, (M.P.) India. | ||||
| 4Department of Mathematics, Government Women College Pulwama, Jammu and Kashmir, India. | ||||
| 5Department of Mathematics and Physics, Government College for Women Nawakadal, Srinagar, Jammu and Kashmir, India. | ||||
| Abstract | ||||
| The aim of this present paper is to prove some novel fractional integral inequalities for synchronous functions connected to the Chebyshev functional, involving the Gauss hypergeometric function and presents a number of special instances as fractional integral inequalities involving Riemann-Liouville type fractional integral operators. Additionally, we take into account their applicability to other relevant, previous findings. Introduction: The most beneficial uses of fractional integral inequalities are in determining the uniqueness of solutions to fractional boundary value issues and fractional partial differential equations. Additionally, they offer upper and lower bounds for the solutions of the aforementioned equations. These factors have prompted a number of scholars working in the area of integral inequalities to investigate various extensions and generalizations by utilizing fractional calculus operators. For instance, the book [1] and the publications [2-11] both contain references to such works. Purohit and Raina [9] recently looked into some integral inequalities of the Chebyshev type [12] utilizing Saigo fractional integral operators and established the q-extensions of the main findings. Present study uses the fractional hypergeometric operator proposed by Curiel and Galue [13] to prove a few generalized integral inequalities for synchronous functions related to the Chebyshev functional. As special examples of our findings, the results attributed to Purohit and Raina [9] and Belarbi and Dahmani [2] are presented. | ||||
| Keywords | ||||
| Fractional Integral Inequalities; Saigo’s Operator; q-Saigo’s Operator | ||||
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