Well posedness for semidiscrete fractional Cauchy problems with finite delay

DOI10.1016/j.cam.2017.07.027OpenAlexW2744112131MaRDI QIDQ1748187

Marina Murillo-Arcila, Carlos Lizama

Publication date: 9 May 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10234/169883

zbMATH Keywords

well-posednessdelay equationsmaximal regularityfractional differencesoperator-valued Fourier multiplier

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear differential equations in abstract spaces (34G10)

Related Items (16)

Monotonicity results for CFC nabla fractional differences with negative lower bound ⋮ Analysis of convexity results for discrete fractional nabla operators ⋮ Analytical and numerical monotonicity results for discrete fractional sequential differences with negative lower bound ⋮ A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity ⋮ Positivity and monotonicity results for triple sequential fractional differences via convolution ⋮ On positivity and monotonicity analysis for discrete fractional operators with discrete Mittag–Leffler kernel ⋮ Nonlocal differential equations with (p,q)$ {(p,q)}$ growth ⋮ Lebesgue regularity for nonlocal time-discrete equations with delays ⋮ Unnamed Item ⋮ An analysis of polynomial sequences and their application to discrete fractional operators ⋮ The Cauchy problem for discrete time fractional evolution equations ⋮ An analysis of nonlocal difference equations with finite convolution coefficients ⋮ Sharp monotonicity results for fractional nabla sequential differences ⋮ Mixed order monotonicity results for sequential fractional nabla differences ⋮ Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound ⋮ Monotonicity results for sequential fractional differences of mixed orders with negative lower bound

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