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Well-posedness of time-fractional advection-diffusion-reaction equations

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Al-Quds Open University
McLean W.; Mustapha K.; Ali R.; Knio O.
McLean, William (7101988035); Mustapha, Kassem (57207506063); Ali, Raed (57210635052); Knio, Omar (7006276528)
7101988035; 57207506063; 57210635052; 7006276528
2019
Fractional Calculus and Applied Analysis
Well-posedness of time-fractional advection-diffusion-reaction equations
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De Gruyter
School of Mathematics and Statistics, 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, 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., Computer, Electrical, Mathematical Sciences and Engineering Division, KAUST, Thuwal, 23955, Saudi Arabia
45
10.1515/fca-2019-0050
Fractional Gronwall inequality; Fractional PDE; Galerkin method; Volterra integral equation; Weak solution