$\alpha$-Differentiable functions in complex plane
In this paper, the conformable fractional derivative of order $\alpha$ is defined in complex plane. Regarding to multi-valued function $z^{1-\alpha}$, we obtain fractional Cauchy-Riemann equations which in case of $\alpha=1$ give classical Cauchy-Riemann equations. The properties relating to c...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Samara State Technical University
2020-01-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/vsgtu1734 |