| Abstract: |
| The Keller-Segel equations are a model of chemotaxis, they have been used for modelling of tissue invasion by solid tumors. We discuss the optimal control of a Keller-Segel equation with time fractional derivative(Caputo derivative). We will forlmulate the first order necessary optimality conditions and discuss existence of optimal control. This model will be used to study collective motion of cells under subdiffusion. |
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