On Certain Operator Method for Solving Differential Equations

被引：1

作者：

Turmetov, Batirkhan ^{[1
]}

机构：

[1] Akhmet Yasawi Int Kazakh Turkish Univ, Dept Math, B Sattarkhanov St 29, Turkistan 161200, Kazakhstan

来源：

FILOMAT | 2017年 / 31卷 / 13期

关键词：

normalized systems; generalized - homogeneous operator; eigen functions and associated functions; fractional derivative;

D O I：

10.2298/FIL1713275T

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study some properties of generalized-homogeneous operators. These properties are applied to find eigen functions and associated functions of some classes of differential operators, as well as to construct solutions of differential equations of fractional order.

引用

页码：4275 / 4286

页数：12

共 50 条

[21] A METHOD FOR SOLVING CERTAIN DIOPHANTINE EQUATIONS
MILLS, WH
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 5 (03) : 473 - 475
[22] Homotopy method of fundamental solutions for solving certain nonlinear partial differential equations
Tsai, Chia-Cheng
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2012, 36 (08) : 1226 - 1234
[23] Symmetric method of approximate particular solutions for solving certain partial differential equations
Chang, Jen-Yi
Chen, Ru-Yun
Tsai, Chia-Cheng
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2020, 119 : 105 - 118
[24] Additive schemes for certain operator-differential equations
P. N. Vabishchevich
Computational Mathematics and Mathematical Physics, 2010, 50 : 2033 - 2043
[25] Additive Schemes for Certain Operator-Differential Equations
Vabishchevich, P. N.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2010, 50 (12) : 2033 - 2043
[26] SOLVING ALGEBRAIC AND DIFFERENTIAL RICCATI OPERATOR-EQUATIONS
JODAR, L
LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 144 : 71 - 83
[27] Convergence Rate of Galerkin Method for a Certain Class of Nonlinear Operator-Differential Equations
Vinogradova, Polina
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2010, 31 (03) : 339 - 365
[28] Solving evolutionary-type differential equations and physical problems using the operator method
K. V. Zhukovsky
Theoretical and Mathematical Physics, 2017, 190 : 52 - 68
[29] On a continuous method for solving nonlinear operator equations
Boikov, I. V.
DIFFERENTIAL EQUATIONS, 2012, 48 (09) : 1288 - 1295
[30] On the Operator Method for Solving Linear Integro-Differential Equations with Fractional Conformable Derivatives
Turmetov, Batirkhan Kh.
Usmanov, Kairat I.
Nazarova, Kulzina Zh.
FRACTAL AND FRACTIONAL, 2021, 5 (03)

← 1 2 3 4 5 →