Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness

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...

Nonlocal Controllability of Mixed Volterra-fredholm Type Fractional Semilinear Integro-differential Inclusions in Banach Spaces

In this paper, we establish a sufficient conditions for the nonlocal controllability of mixed VolterraFredholm type fractional semilinear integro-differential inclusions in Banach spaces. The results are obtained by using fractional calculus, operator semigroups and Bohnenblust-Karlin’s fixed point theorem. Finally, an example is given to illustrate the theoretical results.

Existence Results for Stochastic Semilinear Differential Inclusions with Nonlocal Conditions

Semilinear Differential Equations with Nonlocal Conditions in Banach Spaces

In this paper we study the existence of mild solutions for the nonlocal Cauchy problem x′(t) = Ax(t) + f(t, x(t)), 0 < t ≤ b, x(0) = x0, by using the fixed point techniques, which extends and improves some existing results in this area.

Existence of mild solutions of second-order neutral functional differential inclusions with nonlocal conditions in Banach spaces