Monotone iterative technique for time-space fractional diffusion equations involving delay

DOI10.15388/namc.2021.26.21656zbMath1466.35361OpenAlexW3134023607MaRDI QIDQ4993829

Qiang Li, Guotao Wang, Mei Wei

Publication date: 10 June 2021

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/namc.2021.26.21656

zbMATH Keywords

delaymonotone iterative techniqueexistence and uniquenessoperator semigroup

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

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Cites Work

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• Existence and uniqueness of periodic solutions for parabolic equation with nonlocal delay
• Maximum principles for a time-space fractional diffusion equation
• Space-time fractional diffusion on bounded domains
• Ten equivalent definitions of the fractional Laplace operator
• A class of fractional evolution equations and optimal controls
• Monotone iterative technique for second order delayed periodic problem in Banach spaces
• The approximation of parabolic equations involving fractional powers of elliptic operators
• Existence of mild solutions for fractional evolution equations with mixed monotone nonlocal conditions
• Fractional powers of closed operators and the semigroups generated by them
• A generalized Gronwall inequality and its application to a fractional differential equation
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• One-parameter semigroups of positive operators
• On some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation
• Stochastic classical solutions for space-time fractional evolution equations on a bounded domain
• A new collection of real world applications of fractional calculus in science and engineering
• What is the fractional Laplacian? A comparative review with new results
• The quenching of solutions to time-space fractional Kawarada problems
• Space–Time Duality for Fractional Diffusion
• The fundamental solution of the space-time fractional diffusion equation
• Multi–dimensional solutions of space–time–fractional diffusion equations
• Lie symmetry analysis, exact solutions and conservation laws for the time fractional modified Zakharov–Kuznetsov equation
• Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation
• Numerical methods for fractional diffusion