Regularity of mild solutions for fractional abstract Cauchy problem with order \({\alpha \in (1, 2)}\)
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Publication:903238
DOI10.1007/S00033-015-0577-ZzbMath1348.34020OpenAlexW1211242801MaRDI QIDQ903238
Publication date: 5 January 2016
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-015-0577-z
Mittag-Leffler functions and generalizations (33E12) Linear differential equations in abstract spaces (34G10) Fractional ordinary differential equations (34A08)
Related Items (11)
Optimal control of nonlocal fractional evolution equations in the \(\alpha\)-norm of order \((1,2)\) ⋮ Existence and optimal controls for nonlocal fractional evolution equations of order (1,2) in Banach spaces ⋮ Approximate controllability of fractional neutral evolution systems of hyperbolic type ⋮ Discrete almost maximal regularity and stability for fractional differential equations in \(L^p([0, 1, \Omega)\)] ⋮ Approximation of solutions to integro-differential time fractional wave equations in \(L^p\)-space ⋮ Results on existence and controllability results for fractional evolution inclusions of order 1 < r < 2 with Clarke's subdifferential type ⋮ Novel interpolation spaces and maximal‐weighted Hölder regularity results for the fractional abstract Cauchy problem ⋮ New results on controllability of fractional evolution systems with order \(\alpha\in (1,2)\) ⋮ New discussion on approximate controllability results for fractional Sobolev type Volterra-Fredholm integro-differential systems of order \(1<r<2\) ⋮ The regularity of fractional stochastic evolution equations in Hilbert space ⋮ Blow-up and global existence of solutions for a time fractional diffusion equation
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