Inverse problems for the loaded parabolic-hyperbolic equation involves Riemann-Liouville operator

DOI10.1134/s1995080223030034zbMath1518.35660OpenAlexW4382054177MaRDI QIDQ6114619

Obidjon Khayrullayevich Abdullaev, T. K. Yuldashev

Publication date: 12 July 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223030034

zbMATH Keywords

inverse problemexistence and uniqueness of solutionsuccessive approximations methodRiemann-Liouville fractional derivativesnonlinear gluing condition

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11) Boundary value problems for PDEs of mixed type (35M12)

Cites Work

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• On a non-local boundary problem for a parabolic-hyperbolic equation involving a Riemann-Liouville fractional differential operator
• Solvability of a boundary value problem for a differential equation of the Boussinesq type
• The inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain
• Gellerstedt type problem with integral gluing condition for a mixed type equation with non-linear loaded term
• Inverse boundary value problem for a fractional differential equations of mixed type with integral redefinition conditions
• Unique solvability of a boundary value problem for a loaded fractional parabolic-hyperbolic equation with nonlinear terms
• An inverse problem for a parabolic equation with involution
• On a Benney-Luke type differential equation with nonlinear boundary value conditions
• On a nonlocal boundary value problem for a degenerate parabolic-hyperbolic equation with fractional derivative
• On a mixed problem for Hilfer type fractional differential equation with degeneration
• Nonlinear inverse problem for a sixth order differential equation with two redefinition functions
• A fractional model for the dynamics of tuberculosis infection using Caputo-Fabrizio derivative
• On a boundary-value problem for a fourth-order partial integro-differential equation with degenerate kernel
• Boundary-value problems for loaded third-order parabolic-hyperbolic equations in infinite three-dimensional domains
• Nonlinear optimal control of thermal processes in a nonlinear inverse problem
• A linear inverse problem for a multidimensional mixed-type second-order equation of the first-kind
• A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
• Inverse problem for degenerate parabolic-hyperbolic equation with nonlocal boundary condition
• Mixed problem for a higher-order nonlinear pseudoparabolic equation
• Determining of coefficients and the classical solvability of a nonlocal boundary-value problem for the Benney-Luke integro-differential equation with degenerate kernel
• Some inverse problems for the nonlocal heat equation with Caputo fractional derivative
• NONLOCAL PROBLEM FOR A MIXED TYPE FOURTH-ORDER DIFFERENTIAL EQUATION WITH HILFER FRACTIONAL OPERATOR
• On a boundary value problem for a mixed type fractional differential equations with parameters
• On the smoothness of the solution of a nonlocal boundary value problem for the multidimensional second-order equation of the mixed type of the second kind in Sobolev space