We have introduced a new partial integro-differential equation with mixed fractional
operators. The differential operator can be taken as Caputo while the integral is consider to …

This paper concerns a linear controlled Schrödinger equation with additive noise and
corresponding initial and Neumann boundary conditions. The existence and uniqueness of …

Calculating the control function that is in the coefficients of the nonlinear Schrodinger
equation and minimizes the objective functional consisting of two integrals is main aim of …

This paper deals with a nonlinear controlled Schrödinger equation which is perturbed by an
additive Gaussian noise in the form of a Q-Wiener process. The nonlinearity is especially …

An optimal control problem governed by the heat source in a heat conductivity problem is
presented. An estimate for the weak solution of heat conduction problem is proposed in the …

Our purpose in this article is to find a time-dependent potential of the problem of conducting
given initial data to given terminal data in a nonlinear Schrödinger equation. We get a …

We introduce a numerical treatment for solving nonlinear Schrödinger equations in the form
equation image where f (x, t) is an arbitrary function, being perturbative, dependent on ψ. For …