Nonlinear boundary value problems for differential inclusions with Caputo fractional derivative

Mouffak Benchohra, Samira Hamani

DOI: http://dx.doi.org/10.12775/TMNA.2008.039

Abstract


In 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.

Keywords


Differential inclusion; Caputo fractional derivative; fractional integral; nonlocal condition; existence; fixed point

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