Direct and inverse problems for a parabolic-hyperbolic equation involving Riemann–Liouville derivatives
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Publication:6198894
DOI10.30546/2617-7900.43.1.2023.21OpenAlexW4384571092MaRDI QIDQ6198894
Obidjon Khayrullayevich Abdullaev, Oktay Sh. Salmanov, T. K. Yuldashev
Publication date: 23 February 2024
Published in: TRANSACTIONS ISSUE MATHEMATICS (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.30546/2617-7900.43.1.2023.21
inverse problemsolvabilitynonlinear integral equationsdirect problemRiemann-Liouville derivativesparabolic-hyperbolic equationnonlinear loaded terms
Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for PDEs of mixed type (35M12)
Cites Work
- Unnamed Item
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- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Existence and uniqueness for a nonlinear fractional differential equation
- Numerical solution of fractional order differential equations by extrapolation
- Recovering the time-dependent potential function in a multi-term time-fractional diffusion equation
- Some analytical properties of solutions of differential equations of noninteger order
- Inverse problem for a system of integro-differential equations for SH waves in a visco-elastic porous medium: global solvability
- Anlogue realizations of fractional-order controllers.
- Inverse boundary value problem for a fractional differential equations of mixed type with integral redefinition conditions
- An inverse problem for a parabolic equation with involution
- Inverse problem for finding the order of the fractional derivative in the wave equation
- On a mixed problem for Hilfer type fractional differential equation with degeneration
- Nonlinear optimal control of thermal processes in a nonlinear inverse problem
- Solvability of a boundary value problem for elliptic differential-operator equations of the second order with a quadratic complex parameter
- Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations
- Identifying an unknown time-dependent boundary source in time-fractional diffusion equation with a non-local boundary condition
- Existence of fractional differential equations
- Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions
- Determining of coefficients and the classical solvability of a nonlocal boundary-value problem for the Benney-Luke integro-differential equation with degenerate kernel
- Positive solutions of a boundary value problem for a nonlinear fractional differential equation
- Nonlinear functional differential equations of arbitrary orders
- Fractional Differential Equations
- Inverse source problem for an equation of mixed parabolic-hyperbolic type with the time fractional derivative in a cylindrical domain
- DETERMINATION OF FRACTIONAL ORDER AND SOURCE TERM IN SUBDIFFUSION EQUATIONS
- On a boundary value problem for a mixed type fractional differential equations with parameters
- Обратная задача для вязкоупругой системы в вертикально-слоистой среде
- Analysis of fractional differential equations