On certain operator method for solving differential equations

被引：3

作者：

Turmetov, Batirkhan Kh. ^{[1
]}

机构：

[1] Akhmet Yasawi Univ, Turkistan 161200, Kazakhstan

来源：

ADVANCEMENTS IN MATHEMATICAL SCIENCES (AMS 2015) | 2015年 / 1676卷

关键词：

Normalized systems; Generalized-homogeneous operator; Eigenfunctions and associated functions; Fractional derivative;

D O I：

10.1063/1.4930520

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 eigenfunctions and associated functions of some classes of differential operators, as well as to construct solutions of differential equations of fractional order.

引用

页数：6

共 12 条

[1] Eigenfunctions of Laguerre-type operators and generalized evolution problems [J].

Dattoli, G ;

He, MX ;

Ricci, PE .

MATHEMATICAL AND COMPUTER MODELLING, 2005, 42 (11-12) :1263-1268

[2]

Dattoli G., 2003, Georgian Math. J., V10, P481

[3] An inverse problem for a generalized fractional diffusion [J].

Furati, Khaled M. ;

Iyiola, Olaniyi S. ;

Kirane, Mokhtar .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 249 :24-31

[4] On some operators involving Hadamard derivatives [J].

Garra, Roberto ;

Polito, Federico .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2013, 24 (10) :773-782

[5] OPERATIONAL CALCULUS FOR THE RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE WITH RESPECT TO A FUNCTION AND ITS APPLICATIONS [J].

Fahad, Hafiz Muhammad ;

Fernandez, Arran .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021, 24 (02) :518-540

[6] On a new method for constructing the Green function of the Dirichlet problem for the polyharmonic equation [J].

Kal'menov, T. Sh. ;

Suragan, D. .

DIFFERENTIAL EQUATIONS, 2012, 48 (03) :441-445

[7] Biorthogonal Expansions in Root Functions of Differential Operators [J].

Kal'menov, T. Sh. ;

Sadybekov, M. A. ;

Sarsenbi, A. M. .

DIFFERENTIAL EQUATIONS, 2011, 47 (01) :144-148

[8] On integral representations of correct restrictions and regular extensions of differential operators [J].

Kal'menov, T. Sh. ;

Kanguzhin, B. E. ;

Koshanov, B. D. .

DOKLADY MATHEMATICS, 2010, 81 (01) :94-96

[9] Determination of the structure of the spectrum of regular boundary value problems for differential equations by VA Il'in's method of anti-a priori estimates [J].

Kal'menov, T. Sh. ;

Suragan, D. .

DOKLADY MATHEMATICS, 2008, 78 (03) :913-915

[10] Normalized system of functions with respect to the Laplace operator and its applications [J].

Karachik, VV .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 287 (02) :577-592

← 1 2 →