Fractional Cauchy problem with memory effects

DOI10.1002/mana.201800342zbMath1526.34057OpenAlexW3040711649MaRDI QIDQ6057355

Luciano Abadias, Edgardo Alvarez

Publication date: 4 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201800342

zbMATH Keywords

mild and strong solutions\(\varepsilon\)-regularitylocal and global solutionsfractional Cauchy problemmemory termsresolvent operator familiesextension and blow up

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Asymptotic theory of functional-differential equations (34K25) One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) Functional-differential equations in abstract spaces (34K30) Functional-differential equations with fractional derivatives (34K37)

Related Items (5)

Nonsmooth data optimal error estimates by energy arguments for subdiffusion equations with memory ⋮ A subordination principle for subdiffusion equations with memory ⋮ Time discretization of fractional subdiffusion equations via fractional resolvent operators ⋮ GLOBAL WELL-POSEDNESS OF A CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION WITH MEMORY ⋮ Discrete subdiffusion equations with memory

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