Existence, uniqueness and exponential boundedness of global solutions to delay fractional differential equations
Speaker: Hoang The Tuan

Time: 9h30, Tuesday, March 14, 2017
Location:
Room 4, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract:
In this talk, by using properties of Mittag-Leffler functions, a weighted norm, and the Banach fixed point theorem, we establish a rigorous theorem on the existence and uniqueness of global solutions to delay fractional differential equations under a mild Lipschitz condition. Then, we provide a sufficient condition which guarantees these solutions to be exponentially bounded. Our theorems fill the gaps and also strengthen results in some existing papers

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