Extended Jacobi Functions via Riemann-Liouville Fractional Derivative

Bayram?ekim; EsraErku?-Duman

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Extended Jacobi Functions via Riemann-Liouville Fractional Derivative

机译：通过Riemann-Liouville分数阶导数扩展Jacobi函数

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摘要

By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de…fined and some of their properties are obtained. Then, we compare some properties of the extended Jacobi functions extended Jacobi polynomials. Also, we derive fractional differential equation of generalized extended Jacobi functions.

机译：通过Riemann-Liouville分数演算，定义了扩展的Jacobi函数，并获得了它们的某些性质。然后，我们比较扩展Jacobi函数扩展Jacobi多项式的一些性质。此外，我们导出了广义扩展Jacobi函数的分数阶微分方程。

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《Abstract and applied analysis》 |2013年第14期|共6页
作者
Bayram?ekim; EsraErku?-Duman;
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专利

1. On the Riemann-Liouville fractional calculus, g-Jacobi functions and F-Gauss functions [J] . Mirevski SP, Boyadjiev L, Scherer R Applied mathematics and computation . 2007,第1期

机译：关于Riemann-Liouville分数演算，g-Jacobi函数和F-Gauss函数
2. Extended Riemann-Liouville type fractional derivative operator with applications : Open Mathematics [J] . P. Agarwal, Juan J. Nieto, M.-J. Luo Open Mathematics . 2017,第1期

机译：扩展的Riemann-Liouville型分数阶导数算子及其应用：开放数学
3. Extended Riemann-Liouville fractional derivative operator and its applications [J] . J. Choi, P. Agarwal, R. B. Paris The Journal of Nonlinear Sciences and its Applications . 2015,第5期

机译：扩展的Riemann-Liouville分数阶导数算子及其应用
4. The fractional Chebyshev collocation method for the numerical solution of fractional differential equations with Riemann-Liouville derivatives [C] . Arman Dabiri, Laya Karimi Annual American Control Conference . 2019

机译：Riemann-Liouville导数分数阶微分方程数值解的分数切比雪夫搭配方法
5. REALIZING FRACTIONAL DERIVATIVES OF ELEMENTARY AND COMPOSITEFUNCTIONS THROUGH THE GENERALIZED EULER’S INTEGRALTRANSFORM AND INTEGER DERIVATIVE SERIES: BUILDINGTHE MATHEMATICAL FRAMEWORK TO MODEL THEFRACTIONAL SCHR ODINGER EQUATION INFRACTIONAL SPACETIME [D] . Gladkina, Anastasia. 2018

机译：通过广义EULER的积分形式和整数导数系列实现基本和复合函数的分数导数：建立数学框架以建模分数维SCHR Odinger方程分数空间
6. General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function [O] . G. Farid, K. A. Khan, N. Latif, -1

机译：通过扩展的广义Mittag-Leffler函数凸函数和m-凸函数的一般分数阶积分不等式
7. Riesz potential and Riemann-Liouville fractional integrals and derivatives of Jacobi polynomials [O] . Podlubny I. 1997

机译：Riesz势和Riemann-Liouville分数积分以及Jacobi多项式的导数

Extended Jacobi Functions via Riemann-Liouville Fractional Derivative

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