Fractional differential equations with causal operators

被引：1

作者：

Jankowski, Tadeusz ^{[1
]}

机构：

[1] Gdansk Univ Technol, Dept Differential Equat & Appl Math, PL-80233 Gdansk, Poland

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

基金：

美国国家科学基金会;

关键词：

fractional differential equations; causal operators; Mittag-Leffler functions; existence of solutions; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.1186/s13662-015-0528-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study fractional differential equations with causal operators. The existence of solutions is obtained by applying the successive approximate method. Some applications are discussed including also the case when causal operator Q is a linear operator. Examples illustrate some results.

引用

页数：11

共 14 条

[1]

[Anonymous], ATLANTIS STUDIES MAT

[2]

[Anonymous], 2006, Journal of the Electrochemical Society

[3]

[Anonymous], COMMUN APPL ANAL

[4] Existence of solutions for neutral functional differential equations with causal operators [J].

Corduneanu, C .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 168 (01) :93-101

[5]

Corduneanu C., 2002, STAB CONTR, V16

[6] Monotone iterative technique for periodic boundary value problems with causal operators [J].

Drici, Z ;

McRae, FA ;

Devi, JV .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (06) :1271-1277

[7] Set differential equations with causal operators [J].

Drici, Z ;

McRae, FA ;

Devi, JV .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2005, (02) :185-194

[8] Differential equations with causal operators in a Banach space [J].

Drici, Z ;

McRae, FA ;

Devi, JV .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 62 (02) :301-313

[9] Boundary value problems with causal operators [J].

Jankowski, Tadeusz .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (12) :3625-3632

[10] Nonlinear boundary value problems for second order differential equations with causal operators [J].

Jankowski, Tadeusz .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (02) :1380-1392

← 1 2 →