Abstract We consider a Cauchy problem for fractional differential inclusion defined by Caputo type derivative and we obtain sufficient condition local controllability along reference trajectory in terms of certain variational associated to the initial problem.

In this paper, we introduce and study a system of mixed variational-like inclusions and a system of proximal operator equations in Banach spaces which contains variational inequalities, variational inclusions, resolvent equations, system of variational inequalities and system of variational inclusions in the literature as special cases. It is established that the system of mixed variational-lik...

In this work we reflect a new system of generalized nonlinear variational inclusion problems in 2-uniformly smooth Banach spaces. By using resolvent operator technique, offer an iterative algorithm for figuring out the approximate solution said system. The motive paper is to review convergence analysis proposition used can be considered as extension propositions examining existence various clas...