ON TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS OF TIME-DEPENDENT PIECEWISE CONSTANT ORDER - Archive ouverte HAL
Article Dans Une Revue Mathematical Methods in the Applied Sciences Année : 2024

ON TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS OF TIME-DEPENDENT PIECEWISE CONSTANT ORDER

Yavar Kian
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Marián Slodička
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Karel van Bockstal

Résumé

This contribution considers the time‐fractional subdiffusion with a time‐dependent variable‐order fractional operator of order . It is assumed that is a piecewise constant function with a finite number of jumps. A proof technique based on the Fourier method and results from constant‐order fractional subdiffusion equations has been designed. This novel approach results in the well‐posedness of the problem.
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Dates et versions

hal-04662164 , version 1 (25-07-2024)

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Citer

Yavar Kian, Marián Slodička, Éric Soccorsi, Karel van Bockstal. ON TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS OF TIME-DEPENDENT PIECEWISE CONSTANT ORDER. Mathematical Methods in the Applied Sciences, 2024, ⟨10.1002/mma.10439⟩. ⟨hal-04662164⟩
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