Existence of mild solutions to nonlocal fractional Cauchy problems via compactness

DOI10.1155/2016/4567092zbMath1470.34025OpenAlexW2518816204WikidataQ59121529 ScholiaQ59121529MaRDI QIDQ1669232

Rodrigo Ponce

Publication date: 30 August 2018

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/4567092

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Groups and semigroups of linear operators (47D03) Fractional ordinary differential equations (34A08)

Related Items (12)

Controllability of fractional evolution systems of Sobolev type via resolvent operators ⋮ Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations ⋮ Mild solutions for a multi-term fractional differential equation via resolvent operators ⋮ Approximate controllability for fractional differential equations of Sobolev type via properties on resolvent operators ⋮ Approximate controllability for stochastic fractional hemivariational inequalities of degenerate type ⋮ Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order \(1 < \alpha < 2\) ⋮ Some new asymptotic properties on solutions to fractional evolution equations in Banach spaces ⋮ Weighted pseudo asymptotically Bloch periodic solutions to nonlocal Cauchy problems of integrodifferential equations in Banach spaces ⋮ Topological properties of solution sets for Sobolev-type fractional stochastic differential inclusions with Poisson jumps ⋮ Degenerate type fractional evolution hemivariational inequalities and optimal controls via fractional resolvent operators ⋮ Existence and optimal controls for fractional stochastic evolution equations of Sobolev type via fractional resolvent operators ⋮ Approximations of stable manifolds in the vicinity of hyperbolic equilibrium points for fractional differential equations

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