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

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## 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

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### Manuscript history

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

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## Cite this paper

Ndubuisi, R. U., Nwajeri, U. K., Onyenegecha, C. P., Patil, K. M., Udoaka, O. G., & Osuji, W. I. (2022). Linear mappings in paraletrix spaces and their application to fractional calculus. *Notes on Number Theory and Discrete Mathematics*, 28(4), 698-709, DOI: 10.7546/nntdm.2022.28.4.698-709.