Inverse source problem for an equation of mixed parabolic-hyperbolic type with the time fractional derivative in a cylindrical domain

DOI10.14498/VSGTU1921OpenAlexW4291538802WikidataQ115514749 ScholiaQ115514749MaRDI QIDQ5039303

D. K. Durdiev

Publication date: 12 October 2022

Published in: Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu1921

zbMATH Keywords

Mittag-Leffler functioninverse problemFourier-Bessel seriesuniqueness and existenceequation of mixed type

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15) Integro-partial differential equations (35R09)

Related Items (2)

Direct and inverse problems for a parabolic-hyperbolic equation involving Riemann–Liouville derivatives ⋮ Inverse problem for an equation of mixed parabolic-hyperbolic type with a characteristic line of change

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Mittag-Leffler functions and their applications
• Problem of determining the time dependent coefficient in the fractional diffusion-wave equation
• Problem of determining the reaction coefficient in a fractional diffusion equation
• An inverse time-dependent source problem for a time-fractional diffusion equation
• Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation
• К вопросу о корректности обратных задач для неоднородного уравнения Гельмгольца
• Robin coefficient identification for a time-fractional diffusion equation
• Fractional Differential Equations
• A two‐dimensional diffusion coefficient determination problem for the time‐fractional equation
• Some questions of analysis and differential equations
• From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion

This page was built for publication: Inverse source problem for an equation of mixed parabolic-hyperbolic type with the time fractional derivative in a cylindrical domain