On a robust stability criterion in the subdiffusion equation with Caputo-Dzherbashian fractional derivative

DOI10.1007/S40590-023-00548-6zbMath1526.35300OpenAlexW4387020511MaRDI QIDQ6080934

R. Temoltzi-Ávila

Publication date: 25 October 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-023-00548-6

zbMATH Keywords

robust stabilityreachability tubesubdiffusion equationCaputo-Dzherbashian fractional derivative

Mathematics Subject Classification ID

Robust stability (93D09) Perturbations of ordinary differential equations (34D10) Perturbations in context of PDEs (35B20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11) Classical solutions to PDEs (35A09)

Cites Work

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• On Riemann-Liouville and Caputo derivatives
• On Riemann and Caputo fractional differences
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A review of definitions for fractional derivatives and integral
• Robust stability of the heat equation on a radial symmetric plate
• Bulgakov problem for a hyperbolic equation and robust stability
• Caputo derivatives of fractional variable order: numerical approximations
• A review of definitions of fractional derivatives and other operators
• On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel
• Mkhitar Djrbashian and his contribution to fractional calculus
• Fractional derivatives and Cauchy problem for differential equations of fractional order. Translation into English of the original paper [the authors, Izv. Akad. Nauk Arm. SSR, Mat. 3, 3--29 (1968; Zbl 0165.40801)]
• On some properties of the α-Exponential function
• A new dissipation model based on memory mechanism
• Mittag-Leffler Functions, Related Topics and Applications
• Fractional Differential Equations

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