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Nonlocal complement value problem for a global in time parabolic equation

Nonlocal complement value problem for a global in time parabolic equation

The overreaching goal of this paper is to investigate the existence and uniqueness of weak solution of a semilinear parabolic equation with double nonlocality in space and in time variables that naturally arises while modeling a biological nano-sensor in the chaotic dynamics of a polymer chain. In fact, the problem …