Uniqueness and Existence of Positive Solutions for a Multi-Point Boundary Value Problem of Singular Fractional Differential Equations
Loading...
Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Springeropen
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Average
Popularity
Average
Abstract
In this paper, we study the uniqueness of a positive solution for the singular nonlinear fractional differential equation boundary value problem , , , , where is a real number, is the standard Riemann-Liouville differentiation and , with . Our analysis relies on a fixed-point theorem in partially ordered set. As an application, an example is presented to illustrate the main result. MSC: 26A33, 34B15, 34K37.
Description
Keywords
Boundary Value Problem, Singular Fractional Differential Equations, Riemann-Liouville Fractional Derivative, Uniqueness, Partially Ordered Set, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Differential equation, Numerical Methods for Singularly Perturbed Problems, FOS: Mathematics, Singular solution, Fixed-point theorem, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Algebra and Number Theory, Applied Mathematics, Physics, Free boundary problem, Partial differential equation, Boundary Value Problems, Picard–Lindelöf theorem, Modeling and Simulation, Physical Sciences, Nonlinear system, Uniqueness, Analysis, Mathematics, Ordinary differential equation, partially ordered set, Nonlinear boundary value problems for ordinary differential equations, Riemann-Liouville fractional derivative, Fractional ordinary differential equations, singular fractional differential equations, uniqueness, boundary value problem
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Zhou, Wen-Xue; Chu, Yan-Dong; Baleanu, Dumitru, "Uniqueness and existence of positive solutions for a multi-point boundary value problem of singular fractional differential equations", Advances In Difference Equations, (2013)
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
8
Source
Advances in Difference Equations
Volume
2013
Issue
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 3
Scopus : 16
Captures
Mendeley Readers : 4
Google Scholar™
