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On the sub-diffusion fractional initial value problem with time variable order

delete2021-06-04
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E
Eduardo Cuesta
M
Mokhtar Kirane *
A
Ahmed Alsaedi
B
Bashir Ahmad
DOI:10.1515/anona-2020-0182delete
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Abstract

Abstract

En 中文
We consider a fractional derivative with order varying in time. Then, we derive for it a Leibniz' inequality and an integration by parts formula. We also study an initial value problem with our time variable order fractional derivative and present a regularity result for it, and a study on the asymptotic behavior.
Keywords:
Fractional derivative
variable order
regularity
asymptotic behavior
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Journal

Advances in Nonlinear Analysis cover
Advances in Nonlinear Analysis
IF:
3.7
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678
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1.4K

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K
King Abdulaziz University
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Universidad de Valladolid
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