Direct and inverse problems for a parabolic-hyperbolic equationinvolving Riemann–Liouville derivatives
Obidjon Kh, Oktay Abdullaev, Tursun Salmanov, O Sh, T. K. Yuldashev, Abdullaev, O Sh, Salmanov, T Yuldashev, O Abdullaev, Kh, B Aliev, V Kerimov, Y Yakubov, R Ashurov, Yu Fayziev, R Ashurov, Yu Fayziev, N Asl, D Rostamy, A Boltaev, D Durdiev, K Diethelm, A Freed, K Diethelm, N Ford, K Diethelm, G Walz, D Delbosco, L Rodino, S Dzhamalov, M Aliyev, Kh Turakulov, Sh, S Djamalov, R Ashurov, D Durdiev, D Durdiev, S Merajova, D Durdiev, A Rakhmonov, A El-Sayed, L Gaul, P Klein, S Kempfle, W Glockle, T Nonnenmacher, N Heydarzade, E Kaufmann, E Mboumi, A Kilbas, S Marzan, A Kilbas, H Srivastava, J Trujillo, V Lakshmikantham, A Vatsala, Y Liu, Z Li, M Yamamoto, S Momani, S Hadid, Z Alawenh, I Podlubny, I Podlubny, I Petras, B Vinagre, P O'leary, L Dorcak, M Ruzhansky, N Tokmagambetov, B Torebek, L Sun, Y Zhang, T Wei, B Turmetov, Kh, B Kadirkulov, B Turmetov, Kh, B Kadirkulov, C Yu, G Gao, T Yuldashev, T Yuldashev, T Yuldashev, B Kadirkulov, T Yuldashev, B Kadirkulov, T Yuldashev, B Kadirkulov, T Yuldashev, B Kadirkulov, R Bandaliyev, T Yuldashev, B Kadirkulov, Kh Mamedov, T Yuldashev, E Karimov, T Yuldashev
Abstract
This work is devoted to the investigation of direct and inverse problems with nonlinear gluing condition for a mixed parabolic-hyperbolic equation involves Riemann-Liouville time fractional derivatives.The problem is reduced to study nonlinear Volterra integral equations.The methods of integral equations and successive approximations are used in proving theorems on existence and uniqueness.