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Novel applications of the magnetohydrodynamics couple stress fluid flows between two plates with fractal‐fractional derivatives
Author(s) -
Akgül Ali,
Siddique Imran
Publication year - 2021
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22673
Subject(s) - fractal , mathematics , fractal dimension , magnetohydrodynamics , operator (biology) , fractional calculus , mathematical analysis , work (physics) , differential operator , stability (learning theory) , rest (music) , fractal derivative , stress (linguistics) , dimension (graph theory) , fractal analysis , physics , magnetic field , pure mathematics , computer science , thermodynamics , philosophy , repressor , linguistics , chemistry , acoustics , biochemistry , quantum mechanics , machine learning , transcription factor , gene
In this work, we study the applications of recently introduced nonlocal differential operators with fractional order and fractal dimension referred as fractal‐fractional differential operators in fluid dynamics. We consider the magnetohydrodynamics couple stress fluid flows between two parallel plates such that the lower plate is at rest while the upper plate is acting with constant velocity. For each operator, we demonstrate a comprehensive analysis containing numerical solutions and stability investigation.