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On the global existence of solutions to a class of fractional differential equations

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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