Continuation and maximal regularity of an arbitrary (fractional) order evolutionary integro-differential equation

DOI10.1080/0036810412331310941zbMath1096.45011OpenAlexW2048931297WikidataQ115306916 ScholiaQ115306916MaRDI QIDQ5713494

Mohamed A. E. Herzallah, Ahmed M. A. El-Sayed

Publication date: 14 December 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0036810412331310941

zbMATH Keywords

evolution equationBanach spaceevolutionary integral equationmaximal regularityfractional order derivative

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (5)

Mittag-Leffler stability for a fractional Euler-Bernoulli problem ⋮ Mild and strong solutions to few types of fractional order nonlinear equations with periodic boundary conditions ⋮ Approximation of solutions to integro-differential time fractional wave equations in \(L^p\)-space ⋮ Perturbation for fractional-order evolution equation ⋮ Well-posedness and stability for a fractional thermo-viscoelastic Timoshenko problem

Cites Work

• Analytic resolvent operators for integral equations in Banach space
• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• Fractional-order evolutionary integral equations
• Continuation and maximal regularity of fractional-order evolution equation
• Maximal regularity results for a second order integro-differential equation
• Fractional-order diffusion-wave equation

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