Quasilinear equations with a sectorial set of operators at Gerasimov-Caputo derivatives

DOI10.1134/S0081543823030082zbMath1522.35553MaRDI QIDQ6073598

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Publication date: 18 September 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

initial-boundary value problemCauchy problemquasilinear equationlocal solutionnonlocal solutionGerasimov-Caputo fractional derivativeresolving family of operatorssectorial set of operators

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Fractional partial differential equations (35R11) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (1)

Linear and quasilinear equations with several Gerasimov-Caputo derivatives

Cites Work

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• Semilinear equations in Banach spaces with lower fractional derivatives
• Life and science of Alexey Gerasimov, one of the pioneers of fractional calculus in Soviet Union
• Evolutionary Integral Equations and Applications
• Abstract Volterra Integro-Differential Equations
• Quasilinear multi-term equations with Riemann Liouville derivatives of arbitrary orders
• Initial value problems for some classes of linear evolution equations with several fractional derivatives

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