Fractional semilinear differential inclusions

On controllability for nonconvex semilinear differential inclusions

We consider a semilinear differential inclusion and we obtain sufficient conditions for h-local controllability along a reference trajectory.

Semilinear nonlocal differential inclusions in Banach spaces

This paper is concerned with the existence of mild solutions to a class of semilinear differential inclusions with nonlocal conditions. By using the fixed point theory for multivalued maps, we get some general results on nonlocal differential inclusions, which include some recent results on nonlocal problems as special cases. An example of partial differential equations is provided to illustrat...

On two fractional differential inclusions

We investigate in this manuscript the existence of solution for two fractional differential inclusions. At first we discuss the existence of solution of a class of fractional hybrid differential inclusions. To illustrate our results we present an illustrative example. We study the existence and dimension of the solution set for some fractional differential inclusions.

A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative

A Note on Mild Solutions for Nonconvex Fractional Semilinear Differential Inclusions∗

We consider a Cauchy problem for a fractional semilinear differential inclusions involving Caputo’s fractional derivative in non separable Banach spaces under Filippov type assumptions and we prove the existence of solutions. MSC: 34A60, 26A33, 34B15 keywords: fractional derivative, fractional semilinear differential inclusion, Lusin measurable multifunctions.