On the existence, uniqueness and topological structure of solution sets to a certain fractional differential equation

被引：4

作者：

Bugajewska, Daria ^{[1
]}

Kasprzak, Piotr ^{[1
]}

机构：

[1] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 03期

关键词：

Existence and uniqueness of solutions; Fractional differential equation; Initial value problem; R(delta) set; Riemann-Liouville integral; POSITIVE SOLUTIONS;

D O I：

10.1016/j.camwa.2009.06.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main goal of this paper is to prove two Aronszajn type theorems for some initial value problems formulated in terms of fractional derivatives. Moreover, we are going to establish a theorem on the existence and uniqueness of positive solutions. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1108 / 1116

页数：9

共 50 条

[31] Existence and uniqueness of solution for a class of nonlinear fractional differential equations
Shichang Ma
Yufeng Xu
Wei Yue
Advances in Difference Equations, 2012
[32] Existence and uniqueness of positive solution to singular fractional differential equations
Yongqing Wang
Lishan Liu
Yonghong Wu
Boundary Value Problems, 2012
[33] On the Existence and Uniqueness of the Formal Solution to a Singular Partial Differential Equation
Li, Pingli
Li, Sihui
Proceedings of the 2016 4th International Conference on Machinery, Materials and Information Technology Applications, 2016, 71 : 1319 - 1322
[34] EXISTENCE AND UNIQUENESS OF SOLUTION OF BESSEL NONLINEAR DIFFERENTIAL-EQUATION
PHAM, NDA
MATHEMATICAL AND COMPUTER MODELLING, 1988, 11 : 676 - 678
[35] On the existence and uniqueness of the solution to multifractional stochastic delay differential equation
Bouguetof, Khaoula
Mezdoud, Zaineb
Kebiri, Omar
Hartmann, Carsten
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2024, 27 (05) : 2284 - 2304
[36] Existence And Uniqueness Of Solution For A Mixed-Type Fractional Differential Equation And Ulam-Hyers Stability
Ouagueni, Nora
Arioua, Yacine
APPLIED MATHEMATICS E-NOTES, 2022, 22 : 476 - 495
[37] A constant enclosure method for validating existence and uniqueness of the solution of an initial value problem for a fractional differential equation
Amairi, M.
Aoun, M.
Najar, S.
Abdelkrim, M. N.
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (05) : 2162 - 2168
[38] Existence and uniqueness of mild solution for an impulsive neutral fractional integro-differential equation with infinite delay
Dabas, Jaydev
Chauhan, Archana
MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (3-4) : 754 - 763
[39] The Existence and Uniqueness of Riccati Fractional Differential Equation Solution and Its Approximation Applied to an Economic Growth Model
Johansyah, Muhamad Deni
Supriatna, Asep Kuswandi
Rusyaman, Endang
Saputra, Jumadil
MATHEMATICS, 2022, 10 (17)
[40] EXISTENCE AND UNIQUENESS OF THE MILD SOLUTION OF AN ABSTRACT SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH STATE DEPENDENT NONLOCAL CONDITION
Herzallah, Mohamed A. E.
Radwan, Ashraf H. A.
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2021, 45 (06): : 909 - 923

← 1 2 3 4 5 →