Geodesic
Forward and inverse problems for the Benney–Luke type fractional equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2024), pp. 82-91 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: Benney–Luke equation, fractional order derivative, direct and inverse problem. 
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Yu. E. Fayziev; Sh. T. Pirmatov; Kh. T. Dekhkonov. Forward and inverse problems for the Benney–Luke type fractional equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2024), pp. 82-91. http://geodesic.mathdoc.fr/item/IVM_2024_9_a7/

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