On the global existence of solutions to a class of fractional differential equations |
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| Authors: | Dumitru B?leanu Octavian G Mustafa |
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| Affiliation: | 1. Çankaya University, Department of Mathematics & Computer Science, Ogretmenler Cad. 14 06530, Balgat, Ankara, Turkey;2. National Institute for Laser, Plasma and Radiation, Physics, Institute of Space Sciences, M?gurele, Bucharest, P.O. Box, MG-23, R 76911, Romania |
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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, A.S. Vatsala, Basic theory of fractional differential equations, Nonlinear Anal. TMA 69 (2008), 2677–2682]. |
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