Solvability of initial value problems with fractional order differential equations in banach spaces by α-dense curves
Keyword(s):
AbstractIn this paper we study the existence of solutions for an initial value problem, posed in a given Banach space, with a fractional differential equation via densifiability techniques. For our goal, we will prove a new fixed point result (not based on measures of noncompactness) which is, in forms, a generalization of the well-known Darbo’s fixed point theorem but essentially different. Some illustrative examples are given.
2014 ◽
Vol 2014
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pp. 1-8
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2013 ◽
Vol 16
(1)
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