| Autor: |
Biniyam Shimelis, D.L. Suthar |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Journal of King Saud University: Science, Vol 36, Iss 7, Pp 103234- (2024) |
| Druh dokumentu: |
article |
| ISSN: |
1018-3647 |
| DOI: |
10.1016/j.jksus.2024.103234 |
| Popis: |
The intent of this work is to create and study certain fundamental characteristics of new generalizations of the M-function using q-calculus. We establish its characteristics, like the convergence condition, recurrence relation, integral representations, q-derivative formulae, q-Laplace and q-Sumudu transformations, and image formulas for the Caputo fractional q-derivative and the Hilfer fractional q-derivative. Furthermore, we analyze some specific situations to demonstrate of our key findings. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
