Local unique solvability of a quasilinear equation with the Dzhrbashyan-Nersesyan derivatives

DOI10.1134/S1995080222090207OpenAlexW4312547711MaRDI QIDQ2095819

Yanyan Li

Publication date: 15 November 2022

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

Full work available at URL: https://doi.org/10.1134/s1995080222090207

zbMATH Keywords

initial boundary value problemfractional differential equationquasilinear differential equationfractional Dzhrbashyan-Nersesyan derivative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (2)

Degenerate equations with the Dzhrbashyan-Nersesyan derivative in the sectorial case ⋮ Compositions of fractional derivatives as Dzhrbashyan-Nersesyan derivative

Cites Work

• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Degenerate linear evolution equations with the Riemann-Liouville fractional derivative
• Fractional diffusion equation with discretely distributed differentiation operator
• The fundamental solution of a diffusion-wave equation of fractional order
• A class of distributed order semilinear equationsin Banach spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Local unique solvability of a quasilinear equation with the Dzhrbashyan-Nersesyan derivatives