On the Global Existence of Solutions To a Class of Fractional Differential Equations
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Date
2010
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Open Access Color
HYBRID
Green Open Access
No
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Top 1%
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Top 1%
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Top 1%
Abstract
We present two global existence results for an initial value problem associated to a large class of fractional differential equations. Our approach differs substantially from the techniques employed in the recent literature. By introducing an easily verifiable hypothesis, we allow for immediate applications of a general comparison type result from [V. Lakshmikantham, AS. Vatsala, Basic theory of fractional differential equations, Nonlinear Anal. TMA 69 (2008), 2677-2682]. (C) 2009 Elsevier Ltd. All rights reserved.
Description
Keywords
Fractional Differential Equation, Global Existence Of Solution, Fixed Point Theory, Computational Mathematics, Computational Theory and Mathematics, Modelling and Simulation, Fixed point theory, Fractional differential equation, Global existence of solution, Fractional derivatives and integrals, fixed point theory, fractional differential equation, Fractional ordinary differential equations, global existence of solution
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Baleanu, D., Mustafa, O.G. (2010). On the global existence of solutions to a class of fractional differential equations. Computers&Mathematics With Applications, 59(5), 1835-1841. http://dx.doi.org/10.1016/j.camwa.2009.08.028
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
141
Source
Computers & Mathematics with Applications
Volume
59
Issue
5
Start Page
1835
End Page
1841
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Scopus : 176
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