Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4669050 | Bulletin des Sciences Mathématiques | 2013 | 24 Pages |
Abstract
In this article, we establish the existence and uniqueness results for solutions of a class of initial value problems of nonlinear fractional differential systems on half lines involving Riemann–Liouville fractional derivatives. Our analysis relies on the well-known fixed point theorem of Schauder. The novelty of this paper is that the problems discussed are defined on half lines, and the nonlinearities f and g are allowed to be singular functions. Furthermore, we allow p∈(0,β) and q∈(0,α).
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