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Zbl 1202.34019
Nieto, Juan J.
Maximum principles for fractional differential equations derived from Mittag-Leffler functions. (English)
[J] Appl. Math. Lett. 23, No. 10, 1248-1251 (2010). ISSN 0893-9659

Summary: We present two new maximum principles for a linear fractional differential equation with initial or periodic boundary conditions. Some properties of the classical Mittag-Leffler functions are crucial in our arguments. These comparison results allow us to study the corresponding nonlinear fractional differential equations and to obtain approximate solutions.
MSC 2000:
*34A08
34A30 Linear ODE and systems
34B15 Nonlinear boundary value problems of ODE
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: fractional differential equation; Mittag-Leffler functions; initial value problem; periodic boundary value problem; maximum principle

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