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Regularity theory for time-fractional advection–diffusion–reaction equations

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Al-Quds Open University
McLean W.; Mustapha K.; Ali R.; Knio O.M.
McLean, William (7101988035); Mustapha, Kassem (57207506063); Ali, Raed (57210635052); Knio, Omar M. (7006276528)
7101988035; 57207506063; 57210635052; 7006276528
2020
Computers and Mathematics with Applications
Regularity theory for time-fractional advection–diffusion–reaction equations
79
4
947
961
Elsevier Ltd
School of Mathematics and Statistics, The University of New South Wales, Sydney, 2052, Australia; Department of Mathematics and Statistics, KFUPM, Dhahran, 31261, Saudi Arabia; Al-Quds Open University, Tubas branch, Palestine; Computer, Electrical, Mathematical Sciences and Engineering Division, KAUST, Thuwal, 23955, Saudi Arabia
McLean W., School of Mathematics and Statistics, The University of New South Wales, Sydney, 2052, Australia; Mustapha K., Department of Mathematics and Statistics, KFUPM, Dhahran, 31261, Saudi Arabia; Ali R., Al-Quds Open University, Tubas branch, Palestine; Knio O.M., Computer, Electrical, Mathematical Sciences and Engineering Division, KAUST, Thuwal, 23955, Saudi Arabia
W. McLean; School of Mathematics and Statistics, The University of New South Wales, Sydney, 2052, Australia; email: w.mclean@unsw.edu.au
39
10.1016/j.camwa.2019.08.008
Energy arguments; Fractional Gronwall inequality; Fractional PDE; Regularity analysis
Numerical methods; Energy arguments; Fractional derivatives; Fractional integrals; Fractional PDE; Gronwall inequality; Reaction equations; Regularity analysis; Regularity theories; Advection