Journal
ACTA APPLICANDAE MATHEMATICAE
Volume 109, Issue 3, Pages 973-1033Publisher
SPRINGER
DOI: 10.1007/s10440-008-9356-6
Keywords
Boundary value problem; Initial value problems; Differential equations and inclusions; Caputo fractional derivative; Fractional integral; Existence; Uniqueness; Impulses; Fixed point; Selection; Nonlocal conditions; Integral conditions
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In this survey paper, we shall establish sufficient conditions for the existence and uniqueness of solutions for various classes of initial and boundary value problem for fractional differential equations and inclusions involving the Caputo fractional derivative. The both cases of convex and nonconvex valued right hand side are considered. The topological structure of the set of solutions is also considered.
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