Well-posedness of time-fractional advection-diffusion-reaction equations
2019 ◽
Vol 22
(4)
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pp. 918-944
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Keyword(s):
Abstract We establish the well-posedness of an initial-boundary value problem for a general class of linear time-fractional, advection-diffusion-reaction equations, allowing space- and time-dependent coefficients as well as initial data that may have low regularity. Our analysis relies on novel energy methods in combination with a fractional Gronwall inequality and properties of fractional integrals.
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2013 ◽
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(9-10)
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1995 ◽
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2020 ◽
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(4)
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Vol 396
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2016 ◽
Vol 327
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