Article

Forward and Inverse Problems for the Benney–Luke Type Fractional Equations

Yu. E. FayziyevKarshi State University, 180119, Karshi, Republic of UzbekistanSh. T. PirmatovTashkent State Technical University, 100095, Tashkent, Republic of UzbekistanKh. T. DekhkonovNamangan State University, 160119, Namangan, Republic of Uzbekistan

Russian Mathematicsjournal2024en

ABI

Abstract

In the paper, we study direct and inverse problems for fractional partial differential equations 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 for finding the right side of the equation is investigated.

Topics

Fractional Differential Equations Solutions Differential Equations and Boundary Problems Nonlinear Differential Equations Analysis

Identifiers

DOI: 10.3103/s1066369x24700610

Citations and references

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