Linear mappings in paraletrix spaces and their application to fractional calculus

R. U. Ndubuisi, U. K. Nwajeri, C. P. Onyenegecha, K. M. Patil, O. G. Udoaka and W. I. Osuji
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 28, 2022, Number 4, Pages 698–709
DOI: 10.7546/nntdm.2022.28.4.698-709
Full paper (PDF, 549 Kb)

Details

Authors and affiliations

R. U. Ndubuisi
Department of Mathematics, Federal University of Technology
Owerri, Nigeria

U. K. Nwajeri
Department of Mathematics, Federal University of Technology
Owerri, Nigeria

C. P. Onyenegecha
Department of Physics, Federal University of Technology
Owerri, Nigeria

K. M. Patil
Department of Mathematics, Dharmsinh Desai University
India

O. G. Udoaka
Department of Mathematics, Akwa Ibom State University
Ikot Akpaden, Nigeria

W. I. Osuji
Department of Mathematics, Federal University of Technology
Owerri, Nigeria

Abstract

This paper considers linear mappings in paraletrix spaces as an extension of the one given for rhotrix vector spaces. Furthermore, the adjoints of these mappings are given with their application in fractional calculus.

Keywords

• Heart-oriented paraletrix
• Linear mapping
• Adjoints
• Inner product
• Fractional calculus
• Rhotrix

2020 Mathematics Subject Classification

• 20M10

References

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Manuscript history

• Received: 3 June 2022
• Revised: 25 October 2022
• Accepted: 27 October 2022
• Online First: 31 October 2022