| Autor: |
Mallah, Ishfaq Ahmad, Chanchlani, Lata, Alha, Subhash |
| Zdroj: |
South East Asian Journal of Mathematics & Mathematical Sciences; Aug2023, Vol. 19 Issue 2, p77-96, 20p |
| Abstrakt: |
A novel qp-variant of the q-Mittag-Leffler function and a quantum analogue pDa±,qα,β of the Hilfer-Katugampola fractional derivative are defined. Then, generalizations of the q-Taylor's formula and the q-differential transform and its inverse are obtained using the operator pDa±,qα,β. Additionally, a few properties of the newly defined q-differential transform are established. Finally, three proposed fractional q-difference equations are solved to show the effectiveness of the transform. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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