Partial differential equations of integer and fractional order.
Main publications:
Karimov E.T., “About the Tricomi problem for the mixed parabolic-hyperbolic type equation with spectral parameter”, Complex Variables and Elliptic Equations, 50:6 (2005), 433–440
Berdyshev A.S., Karimov E.T., “Some-non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type”, Central European Journal of Mathematics, 4:2 (2006), 183–193
Karimov E.T., “Non-local problems with special gluing condition for the parabolic-hyperbolic type equation.”, PanAmerican Mathematical Journal, 17:2 (2007), 11–20
Karimov E.T., Eshmatov B.E., “Boundary-value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations”, Central European Journal of Mathematics, 5:4 (2007), 741–750
Karimov E.T., “Some non-local problems for the parabolic-hyperbolic type equation with complex spectral parameter”, Mathematische Nachrichten, 281:7 (2008), 959–970
T. K. Yuldashev, E. T. Karimov, “On one loaded mixed-type integro-differential equation with fractional Gerasimov–Caputo operators”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 211 (2022), 96–113
2.
A. K. Urinov, E. T. Karimov, S. Kerbal, “Boundary-value problem with an integral conjugation condition for a partial differential equation with the fractional Riemann–Liouville derivative that describes gas flows in a channel surrounded by a porous medium”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 210 (2022), 66–76
2021
3.
T. K. Yuldashev, E. T. Karimov, “Mixed type integro-differential equation with fractional order Caputo operators and spectral parameters”, Izv. IMI UdGU, 57 (2021), 190–205
2016
4.
M. S. Salakhitdinov, E. T. Karimov, “Uniqueness of an inverse source non-local problem for fractional order mixed type equations”, Eurasian Math. J., 7:1 (2016), 74–83
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