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Zbl 1191.34008
Wei, Zhongli; Li, Qingdong; Che, Junling
Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative. (English)
[J] J. Math. Anal. Appl. 367, No. 1, 260-272 (2010). ISSN 0022-247X

Summary: We discuss the properties of the well-known Mittag-Leffler function, and consider the existence and uniqueness of solution of the initial value problem for fractional differential equation involving Riemann-Liouville sequential fractional derivative by using monotone iterative method.

MSC 2000:: *34A08
34A12 Initial value problems for ODE
34A45 Theoretical approximation of solutions of ODE

Keywords: initial value problem; fractional differential equation; Riemann-Liouville sequential fractional derivatives; upper solution and lower solution

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Zentralblatt MATH Berlin [Germany]