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Zbl 1210.34003
Babakhani, Azizollah; Baleanu, Dumitru
Employing of some basic theory for class of fractional differential equations. (English)
[J] Adv. Difference Equ. 2011, Article ID 296353, 13 p. (2011). ISSN 1687-1847/e

Summary: The basic theory for a class of initial value problems for some fractional differential equation involving Riemann-Liouville differential operators is discussed by employing the classical approach from the work of {\it V. Lakshmikantham} and {\it A. S. Vatsala} [Nonlinear Anal., Theory Methods Appl. 69, No.~8, A, 2677--2682 (2008; Zbl 1161.34001)]. The theory of inequalities, local existence, extremal solutions, comparison result and global existence of solutions are considered.

MSC 2000:: *34A08
34A12 Initial value problems for ODE
34A40 Differential inequalities (ODE)

Citations: Zbl 1161.34001

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