Forward and inverse problems for the Benney–Luke type fractional equations
https://doi.org/10.26907/0021-3446-2024-9-82-91
Abstract
In the paper, we study direct and inverse problems for fractional partial differential equations of the Benney–Luke type. The conditions for the existence and uniqueness of solutions to the Cauchy problems for a Benney–Luke type equation of fractional order are derived. In addition, the inverse problem of finding the right-hand side of the equation is investigated.
About the Authors
Yu. E. Fayziyev
National University of Uzbekistan named after M. Ulugbek; Karshi State University
Uzbekistan
Uzbekistan
Yusuf Ergashevich Fayziev
4 Universitetskaya str., Tashkent, 100174; 17 Kuchabag str., Karshi, 180119
Sh. T. Pirmatov
Tashkent State Technical University
Uzbekistan
Uzbekistan
Shamshod Turgunboevich Pirmatov
2 Universitetskaya str., Tashkent, 100095
Kh. T. Dekhkonov
Namangan State University
Uzbekistan
Uzbekistan
Khusan Tursunovich Dekhkonov
316 Uychi str., Namangan, 160119
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Review
For citations:
Fayziyev Yu.E., Pirmatov Sh.T., Dekhkonov Kh.T. Forward and inverse problems for the Benney–Luke type fractional equations. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2024;(9):82-91. (In Russ.) https://doi.org/10.26907/0021-3446-2024-9-82-91
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