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

Authors:
Dumitru Bleanu;Octavian G. Mustafa
Affiliations:
Çankaya University, Department of Mathematics & Computer Science, Ogretmenler Cad. 14 06530, Balgat, Ankara, Turkey and National Institute for Laser, Plasma and Radiation, Physics, Institute ...;Çankaya University, Department of Mathematics & Computer Science, Ogretmenler Cad. 14 06530, Balgat, Ankara, Turkey
Venue:
Computers & Mathematics with Applications
Year:
2010

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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].