Positive solutions of a system of non-autonomous fractional differential equations

被引：77

作者：

Daftardar-Gejji, V ^{[1
]}

机构：

[1] Univ Poona, Dept Math, Pune 411007, Maharashtra, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 302卷 / 01期

关键词：

Riemann-Liouville fractional derivative; completely continuous operator; Arzela-Ascoli theorem; ordered banach space;

D O I：

10.1016/j.jmaa.2004.08.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence of positive solutions for the following system of fractional differential equations: D(alphai)u(i) =f(i)(t,u(1),u(2), ...u(2), ...u(n)), ui(0) =0, 0 < alpha(i) < 1, 1 less than or equal to i less than or equal to n, where D-alphai denotes Riemann-Liouville derivative of order alpha(i) has been studied. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：56 / 64

页数：9

共 50 条

[21] Periodic solutions for a class of non-autonomous differential delay equations
Rong Cheng
Junxiang Xu
Nonlinear Differential Equations and Applications NoDEA, 2009, 16
[22] Periodic solutions for a class of non-autonomous differential delay equations
Cheng, Rong
Xu, Junxiang
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2009, 16 (06): : 793 - 809
[23] Periodic Solutions for a Class of Non-autonomous Newton Differential Equations
Llibre, Jaume
Makhlouf, Amar
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2020, 28 (02) : 373 - 379
[24] Approximate Controllability for Mixed Type Non-autonomous Fractional Differential Equations
Bo Zhu
Baoyan Han
Qualitative Theory of Dynamical Systems, 2022, 21
[25] Approximate Controllability for Mixed Type Non-autonomous Fractional Differential Equations
Zhu, Bo
Han, Baoyan
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (04)
[26] Solutions for non-autonomous fractional integrodifferential equations with delayed force term
Mishra, Kamla Kant
Dubey, Shruti
JOURNAL OF ANALYSIS, 2024,
[27] On Constructing Generally Periodic Solutions of a Complicated Structure of a Non-Autonomous System of Differential Equations
Pchelintsev, A. N.
NUMERICAL ANALYSIS AND APPLICATIONS, 2013, 6 (01) : 54 - 61
[28] ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A NON-AUTONOMOUS SYSTEM OF TWO-DIMENSIONAL DIFFERENTIAL EQUATIONS
Xiao, Songlin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[29] Non-autonomous equations with unpredictable solutions
Akhmet, Marat
Fen, Mehmet Onur
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 59 : 657 - 670
[30] On non-autonomous fractional evolution equations and applications
Achache, Mahdi
SEMIGROUP FORUM, 2024, 108 (03) : 511 - 535

← 1 2 3 4 5 →