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Zbl 1189.34006
Băleanu, Dumitru; Mustafa, Octavian G.
On the global existence of solutions to a class of fractional differential equations. (English)
[J] Comput. Math. Appl. 59, No. 5, 1835-1841 (2010). ISSN 0898-1221

Summary: 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 {\it V. Lakshmikantham} and {\it A. S. Vatsala} [Nonlinear Anal., Theory Methods Appl. 69, No. 8 (A), 2677--2682 (2008; Zbl 1161.34001)].

MSC 2000:: *34A08
26A33 Fractional derivatives and integrals (real functions)

Keywords: fractional differential equation; global existence of solution; fixed point theory

Citations: Zbl 1161.34001

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