On the global existence of solutions to a class of fractional differential equations
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Date
2010
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Pergamon-Elsevier Science Ltd
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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]
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Keywords
Fractional Differential Equation, Global Existence of Solution, Fixed Point Theory
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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
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Computers&Mathematics With Applications
Volume
59
Issue
5
Start Page
1835
End Page
1841