Time-dependent source identification problem for a fractional Schrödinger equation with the Riemann–Liouville derivative

• Date: 2023
• Main Authors: Ashurov, Ravshan, Shakarova, Marjona
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7155
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We consider a Schrödinger equation $i \partial_t^\rho u(x,t)-u_{xx}(x,t) = p(t)q(x) + f(x,t),$ $0<t\leq T,$ $0<\rho<1,$ with  the Riemann–Liouville derivative. An inverse problem is investigated  in which, parallel with $u(x,t),$&a...