Nonlinear boundary value problems for differential inclusions with Caputo fractional derivative
KeywordsDifferential inclusion, Caputo fractional derivative, fractional integral, nonlocal condition, existence, fixed point
AbstractIn this paper, we shall establish sufficient conditions for the existence of solutions for a class of boundary value problem for fractional differential inclusions involving the Caputo fractional derivative of order $\alpha\in (1,2]$. The both cases of convex valued and nonconvex valued right hand side are considered.
How to Cite
BENCHOHRA, Mouffak & HAMANI, Samira. Nonlinear boundary value problems for differential inclusions with Caputo fractional derivative. Topological Methods in Nonlinear Analysis [online]. 1 September 2008, T. 32, nr 1, s. 115–130. [accessed 29.11.2021].
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