Analysis of Direct and Inverse Problems for a Fractional Elastoplasticity Model

Abstract

This study is devoted to a nonlinear time fractional
inverse coecient problem. The unknown coecient depends on
the gradient of the solution and belongs to a set of admissible
coecients. First we prove that the direct problem has a unique
solution. Afterwards we show the continuous dependence of the
solution of the corresponding direct problem on the coecient, the
existence of a quasisolution of the inverse problem is obtained in
the appropriate class of admissible coecients.