Studies on Fractional Differential Operators of Two Parameters in a Complex Domain

Rabha W. Ibrahim; Hamid A. Jalab

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Studies on Fractional Differential Operators of Two Parameters in a Complex Domain

机译：复数域中两个参数的分数阶微分算子研究

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This study deals with a generalization for fractional differential operators in a complex domain based on the extended Beta function. Stipulations are imposed for these generalized operators such as the upper bounds. Other possessions for the above operator are also prepared. In addition, implementations of these operators are introduced and suggested in the geometric function theory (GFT). Sufficient conditions are imposed for functions to be univalent.

机译：这项研究基于扩展的Beta函数，对复杂域中的分数微分算子进行了概括。这些通用运算符（例如上限）受到规定。还准备了上述操作员的其他所有物。此外，在几何函数理论（GFT）中介绍并建议了这些算子的实现。强制条件使功能是单价的。

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《Turkish Journal of Analysis and Number Theory》 |2016年第1期|共7页
作者
Rabha W. Ibrahim; Hamid A. Jalab;
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2. Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order [J] . Daisuke Fujiwara Proceedings of the Japan Academy, Series A. Mathematical Sciences . 1967,第2期

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3. Study of composite fractional relaxation differential equation using fractional operators with and without singular kernels and special functions [J] . Zafar Azhar Ali, Awrejcewicz Jan, Mazur Olga, Advances in Difference Equations . 2021,第a期

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6. Complex dynamics and control of a novel physical model using nonlocal fractional differential operator with singular kernel [O] . A.E. Matouk, I. Khan 2020

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7. $H$-Function Generalized Fractional Integration Operators in Subclasses of Univalent Functions : Some Distortion and Characterization Theorems (Study on Differential Operators and Integral Operators in Univalent Function Theory) [O] . Kiryakova Virginia S., Saigo Megumi, Owa Shigeyoshi 2003

机译：单价函数子类中的$ H $-函数广义分数阶积分算子：一些失真和特征定理（单价函数理论中的微分算子和积分算子研究）
8. Scattering Theory for Elliptic Differential Operators in Unbounded Domains. [R] . goldstein,charles i. 1972

机译：无界域上椭圆型微分算子的散射理论。

Studies on Fractional Differential Operators of Two Parameters in a Complex Domain

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