A Uniqueness Criterion for Fractional Differential Equations With Caputo Derivative
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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
Yes
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Average
Abstract
We investigate the uniqueness of solutions to an initial value problem associated with a nonlinear fractional differential equation of order alpha a(0,1). The differential operator is of Caputo type whereas the nonlinearity cannot be expressed as a Lipschitz function. Instead, the Riemann-Liouville derivative of this nonlinearity verifies a special inequality.
Description
Keywords
Fractional Differential Equation, Uniqueness Of Solution, Caputo Differential Operator, Riemann-Liouville Derivative, Caputo differential operator, Riemann-Liouville derivative, fractional differential equation, Fractional ordinary differential equations, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, uniqueness of solution
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Baleanu, D., Mustafa, O.G., O'regan, D. (2013). A uniqueness criterion for fractional differential equations with Caputo derivative. Nonlinear Dynamics, 71(4), 635-640. http://dx.doi.org/10.1007/s11071-012-0449-4
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
7
Source
Nonlinear Dynamics
Volume
71
Issue
4
Start Page
635
End Page
640
PlumX Metrics
Citations
CrossRef : 5
Scopus : 7
Captures
Mendeley Readers : 10
SCOPUS™ Citations
8
checked on Feb 24, 2026
Web of Science™ Citations
9
checked on Feb 24, 2026
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