Global existence of solutions of IVP's for differential systems with sequential fractional derivative operators


Yuji Liu

2010 Mathematics Subject Classification:

92D25, 34A37, 34K15.


initial value problem, fixed point theorem, sequential fractional differential system.


In this article, we establish results for global existence of solutions of an initial value problem of nonlinear fractional differential system on half-line involving sequential Riemann-Liouville fractional operators. Our analysis rely on the well-known fixed point theorem of Schauder. An example is presented to illustrate the main theorem. As far as the author knows, the present work is perhaps the first one that deals with such kind of initial value problems for fractional differential systems on half-line.

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Vol. 10 (18), 2015