On the solvability of an initial-boundary value problem for a fractional heat equation with involution

DOI10.1134/S1995080222040217zbMath1492.35418OpenAlexW4226313679MaRDI QIDQ2140921

B. J. Kadirkulov, Batirkhan Kh. Turmetov

Publication date: 23 May 2022

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

Full work available at URL: https://doi.org/10.1134/s1995080222040217

zbMATH Keywords

completenessparabolic equationeigenfunctioninvolutionspectral problemnonlocal operatorLe Roy functionHadamard-Caputo operator

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Caputo-type modification of the Hadamard fractional derivatives
• Differential-difference equations
• Spectral properties of a nonlocal problem for a second-order differential equation with an involution
• Theory and applications of partial functional differential equations
• Basis properties of eigenfunctions of second-order differential operators with involution
• Criterion for the basis property of the eigenfunction system of a multiple differentiation operator with an involution
• First order selfadjoint differential operators with involution
• The explicit formula for solution of anomalous diffusion equation in the multi-dimensional space
• On a problem for nonlocal mixed-type fractional order equation with degeneration
• Nonlinear optimal control of thermal processes in a nonlinear inverse problem
• Unique solvability of problems for a mixed parabolic equation in unbounded domain
• On a problem of heat equation with fractional load
• Riesz basis property of system of root functions of second-order differential operator with involution
• Spectral analysis of a differential operator with an involution
• Compactly supported solutions of functional-differential equations and their applications
• On magnetohydrodynamic flows of mixed type
• On a method for constructing a solution of integro-differential equations of fractional order
• Basis property of a system of eigenfunctions of a second-order differential operator with involution
• The method of similar operators in the spectral analysis of the Hill operator with nonsmooth potential

This page was built for publication: On the solvability of an initial-boundary value problem for a fractional heat equation with involution