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Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign
Date
2022
Abstract
We consider time-fractional parabolic equations with a Caputo time derivative of order α ∈ (0, 1). For such equations, we give an elementary proof of the weak maximum principle under no assumptions on the sign of the reaction coefficient. This proof is also extended for weak solutions, as well as for various types of boundary conditions and variable-coefficient variable-order multiterm time-fractional parabolic equations
Supervisor
Description
Publisher
Elsevier
Citation
Applied Mathematics Letters, 132,108209