Degenerate equations with the Dzhrbashyan-Nersesyan derivative in the sectorial case

DOI10.1134/S1995080223020300OpenAlexW4377230564MaRDI QIDQ6043917

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Publication date: 25 May 2023

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

Full work available at URL: https://doi.org/10.1134/s1995080223020300

zbMATH Keywords

initial-boundary value problemfractional differential equationdegenerate evolution equationfractional Dzhrbashyan-Nersesyan derivative

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Linear differential equations in abstract spaces (34G10) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

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• On a fractional order Ebola epidemic model
• Operator theory. Nonclassical problems
• Boundary value problems for some classes of higher-order equations that are unsolved with respect to the highest derivative
• Local unique solvability of a quasilinear equation with the Dzhrbashyan-Nersesyan derivatives
• A Cauchy type problem for a degenerate equation with the Riemann-Liouville derivative in the sectorial case
• Linear Sobolev type equations and degenerate semigroups of operators
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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