Existence of solutions of periodic-type boundary value problems for multi-term fractional differential equations

被引：7

作者：

Liu, Yuji ^{[1
]}

机构：

[1] Guangdong Univ Business Studies, Dept Math, Guangzhou 510000, Guangdong, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 16期

关键词：

solution; multi-term singular fractional differential equation; periodic-type boundary value problems; fixed-point theorem; POSITIVE SOLUTIONS;

D O I：

10.1002/mma.2746

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Results on the existence of solutions of a periodic-type boundary value problem of singular multi-term fractional differential equations with the nonlinearity depending on D(o+)(alpha)x are established and being singular at t=0 and t=1. The analysis relies on the well-known fixed-point theorems. An example is given to illustrate the efficiency of the main theorems. Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：2187 / 2207

页数：21

共 50 条

[1] Impulsive Periodic Type Boundary Value Problems for Multi-Term Singular Fractional Differential Equations
Liu, Yuji
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2014, 37 (02) : 575 - 596
[2] Boundary value problems for multi-term fractional differential equations
Daftardar-Gejji, Varsha
Bhalekar, Sachin
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) : 754 - 765
[3] New existence results for positive solutions of boundary value problems for coupled systems of multi-term fractional differential equations
Liu, Yuji
[J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 45 (02): : 391 - 416
[4] ANTI-PERIODIC TYPE BOUNDARY VALUE PROBLEMS FOR SINGULAR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSE EFFECTS
Liu, Yuji
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2013, 24 (06)
[5] RESONANT BOUNDARY VALUE PROBLEMS FOR SINGULAR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS
Liu, Yuji
Yang, Xiaohui
[J]. DIFFERENTIAL EQUATIONS & APPLICATIONS, 2013, 5 (03): : 409 - 472
[6] Boundary value problems of multi-term fractional differential equations with impulse effects
Liu, Yuji
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (18) : 5436 - 5451
[7] Existence of solutions to periodic boundary value problems for fuzzy fractional differential equations
[J]. Sun, Shurong (sshrong@163.com), 1600, Inderscience Publishers, 29, route de Pre-Bois, Case Postale 856, CH-1215 Geneva 15, CH-1215, Switzerland (07):
[8] Existence and Hyers-Ulam stability for boundary value problems of multi-term Caputo fractional differential equations
Chen, Chen
Liu, Li
Dong, Qixiang
[J]. FILOMAT, 2023, 37 (28) : 9679 - 9692
[9] INITIAL-BOUNDARY VALUE PROBLEMS TO SEMILINEAR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS
Siryk, Sergii V.
Vasylyeva, Nataliya
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2023, 22 (07) : 2321 - 2364
[10] Boundary value problems of singular multi-term fractional differential equations with impulse effects
Liu, Yuji
[J]. MATHEMATISCHE NACHRICHTEN, 2016, 289 (11-12) : 1526 - 1547

← 1 2 3 4 5 →