A FRACTIONAL BOUNDARY VALUE PROBLEM WITH DIRICHLET BOUNDARY CONDITION

TitleA FRACTIONAL BOUNDARY VALUE PROBLEM WITH DIRICHLET BOUNDARY CONDITION
Publication TypeJournal Article
Year of Publication2015
AuthorsGraef, JR, KONG, LINGJU, KONG, QINGKAI, WANG, MIN
Volume19
Issue4
Start Page497
Pagination8
ISSN1083-2564
AMS34B15, 34B27
Abstract

In this paper, the authors study a nonlinear fractional boundary value problem consisting of the equation$${ −D^α_{0+}u + aD^β_{0+}u = w(t)f(u), \ \ \ 1 < α < 2, 0 ≤ β < 1, }$$ and the Dirichlet boundary condition. The associated Green’s function is derived in terms of the generalized Mittag-Leffler function, and the existence of solutions is established based on it.

URLhttp://www.acadsol.eu/en/articles/19/4/2.pdf
Refereed DesignationRefereed
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