Maximum principle and its application for the nonlinear time-fractional diffusion equations with Cauchy-Dirichlet conditions

DOI10.1016/j.aml.2018.01.012OpenAlexW2964323695MaRDI QIDQ1749459

Meiirkhan Borikhanov, Berikbol T. Torebek, Mukhtar Bin Muhammad Kirane

Publication date: 16 May 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.08904

zbMATH Keywords

maximum principlenonlinear problemfractional differential equationRiemann-Liouville derivativesub-diffusion equationAtangana-Baleanu derivative

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Maximum principles in context of PDEs (35B50) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

Related Items (11)

Initial boundary value problems for space-time fractional conformable differential equation ⋮ Nakhushev extremum principle for a class of integro-differential operators ⋮ An extension of maximum principle with some applications ⋮ On solvability of the non-local problem for the fractional mixed-type equation with Bessel operator ⋮ The existence of solution of diffusion equation with the general conformable derivative ⋮ Comparison principles for the time-fractional diffusion equations with the Robin boundary conditions. I: Linear equations ⋮ Source term identification of time‐fractional diffusion equation under Robin boundary condition ⋮ Maximum principles for a class of generalized time-fractional diffusion equations ⋮ Bitsadze–Samarskii type problem for the integro-differential diffusion–wave equation on the Heisenberg group ⋮ On \(\psi \)-Caputo time fractional diffusion equations: extremum principles, uniqueness and continuity with respect to the initial data ⋮ Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations

Cites Work

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• Maximum principle and its application for the time-fractional diffusion equations
• Maximum principle for the fractional diffusion equations with the Riemann-Liouville fractional derivative and its applications
• Maximum principle for certain generalized time and space fractional diffusion equations
• On the fractional derivatives at extrema points
• A maximum principle for fractional diffusion differential equations

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