Structure of fractional spaces generated by second order difference operators

DOI10.1016/J.JFRANKLIN.2013.07.009zbMath1293.47035OpenAlexW2092120549MaRDI QIDQ398443

Yaşar Sözen, Allaberen Ashyralyev, Neşe Nalbant

Publication date: 15 August 2014

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2013.07.009

zbMATH Keywords

nonlocal boundary conditionspositivity in Banach spacespositivity in Hölder spacessecond order difference operator

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Linear difference operators (47B39)

Related Items (12)

Unnamed Item ⋮ Fractional powers of strongly positive operators and their applications ⋮ Existence of solutions for nonlinear fractional \(q\)-difference integral equations with two fractional orders and nonlocal four-point boundary conditions ⋮ The structure of fractional spaces generated by a two-dimensional difference operator in a half plane ⋮ Existence theory for \(q\)-antiperiodic boundary value problems of sequential \(q\)-fractional integrodifferential equations ⋮ A note on fractional spaces generated by the positive operator with periodic conditions and applications ⋮ The structure of fractional spaces generated by a two-dimensional neutron transport operator and its applications ⋮ The structure of fractional spaces generated by multi-dimensional elliptic difference operator ⋮ A note on fractional powers of strongly positive operators and their applications ⋮ Monotone iterative technique via initial time different coupled lower and upper solutions for fractional differential equations ⋮ The Structure of Fractional Spaces Generated by a Two-Dimensional Difference Neutron Transport Operator and Its Applications ⋮ A note on positivity of two-dimensional differential operators

Cites Work

• A new method of summation of Fourier series converging in \(C\)-norm
• Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob
• Generation of Analytic Semigroups by Strongly Elliptic Operators Under General Boundary Conditions
• Fractional spaces generated by the positive differential and difference operators in a Banach space
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