Fractional differential equations of Sobolev type with sectorial operators

DOI10.1007/s00233-019-10038-9zbMath1471.34118OpenAlexW2958056000WikidataQ127483584 ScholiaQ127483584MaRDI QIDQ2009655

Rodrigo Ponce, Silvia Rueda, Yong-Kui Chang

Publication date: 29 November 2019

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-019-10038-9

zbMATH Keywords

fractional derivativeasymptotic decayfractional resolvent familiesSobolev-type differential equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Asymptotic properties of solutions to ordinary differential equations (34D05) Fractional ordinary differential equations (34A08)

Related Items (5)

\(S\)-asymptotically Bloch type periodic solutions to some semi-linear evolution equations in Banach spaces ⋮ Analytical approaches on the attractivity of solutions for multiterm fractional functional evolution equations ⋮ On a study of Sobolev‐type fractional functional evolution equations ⋮ Local and global existence and uniqueness of solution and local well-posednesss for abstract fractional differential equations with state-dependent delay ⋮ A novel technique for solving Sobolev-type fractional multi-order evolution equations

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