Nonlocal fractional elliptic equations and applications

DOI10.1002/NUM.22910OpenAlexW4304845409WikidataQ115397170 ScholiaQ115397170MaRDI QIDQ6064499

Muhammet Kurulay, Veli B. Shakhmurov

Publication date: 12 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22910

zbMATH Keywords

Sobolev spaceselliptic equationsparabolic equationsmaximal \(L_p\) regularityfractional-differential equations\(L_p\)-multipliers

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

• Existence and uniqueness of solutions for the system of nonlinear fractional differential equations with nonlocal and integral boundary conditions
• Maximal regular abstract elliptic equations and applications
• Basic theory of fractional differential equations
• Maximal B-regular integro-differential equation
• Semigroup estimates and noncoercive boundary value problems
• Sectorial operators with convolution term
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
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