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Estimation of generalized fractional integral operators with nonsingular function as a kernel

Authors :
Kottakkaran Sooppy Nisar
Shahid Mubeen
Gauhar Rahman
Emad E. Mahmoud
Rana Safdar Ali
Abdel-Haleem Abdel-Aty
Iqra Nayab
Source :
AIMS Mathematics, Vol 6, Iss 5, Pp 4492-4506 (2021)
Publication Year :
2021
Publisher :
American Institute of Mathematical Sciences (AIMS), 2021.

Abstract

Bessel function has a significant role in fractional calculus having immense applications in physical and theoretical approach. Present work aims to introduce fractional integral operators in which generalized multi-index Bessel function as a kernel, and develop some important special cases which are connected with fractional operators in fractional calculus. Here, we construct important links to familiar findings from some individual occurrence with our key outcomes.

Details

ISSN :
24736988
Volume :
6
Database :
OpenAIRE
Journal :
AIMS Mathematics
Accession number :
edsair.doi.dedup.....7dbbb7bac59144672fdeb480ca5ee5f8