$\alpha$-Differentiable functions in complex plane
Copyright policy )$\alpha$-Differentiable functions in complex plane
В комплексной плоскости вводится взвешенная дробная производная порядка $\alpha$. Относительно многозначной функции $ z ^ {1- \alpha} $ получены дробные уравнения Коши-Римана, которые при $ \alpha = 1 $ совпадают с классическими уравнениями Коши-Римана. Для некоторых функций в комплексной плоскости рассмотрены свойства, относящиеся к комплексной взвешенной дробной производной. Обсуждаются два комплексных дифференциальных уравнения специальной формы. Для некоторых значений $\alpha$ приводятся римановы поверхности их решений и сравниваются их графики.
- Nuclear Science and Technology Research Institute Iran (Islamic Republic of)
- Islamic Azad University Central Tehran Branch Iran (Islamic Republic of)
conformable fractional derivative, Holomorphic functions of several complex variables, Fractional derivatives and integrals, limit-based fractional derivative, limit based fractional derivative, cauchy–riemann equations, QA1-939, Cauchy-Riemann equations, Mathematics
conformable fractional derivative, Holomorphic functions of several complex variables, Fractional derivatives and integrals, limit-based fractional derivative, limit based fractional derivative, cauchy–riemann equations, QA1-939, Cauchy-Riemann equations, Mathematics
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