Inverse source problem for semilinear time fractional equation

Abstract

iqutions with frtionl derivtives nd inverse prolems for them rise in mny rnhes of siene nd engineering with memory eing tken into ountF ome inverse prolems to di'usionEwve equtions with di'erent unknown funtions or prmeters @soureD order of prtil derivtiveD older or minor oe0ientD oundry or initil dtA were investigtedD for exmpleD in IEIIF sn prtiulrD in ID QD RD TD U integrl type overEdetermintion onditions were used in the inverse soure nd oe0ient prolems for suh equtionsF sn this pperD we (nd the onditions of uniqueness of the solution (u, g) of the inverse prolem D α t u − ∆u = g(t)F