Volume 32, Issue 2
A Novel Proof on the Existence of the Solution of Fractional Control Problem Governed by Burgers Equations

S. G. Georgiev, F. Mohammadizadeh, H. Tehrani & M. H. N. Skandari

J. Part. Diff. Eq., 32 (2019), pp. 129-143.

Published online: 2019-07

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  • Abstract

In this study, first we give some conditions to prove that a fractional Burgers equation has a unique solution. For this aim, we define a special operator to deduce the uniqueness of the solution. Then we prove that the optimal control problem under fractional Burgers equation has at least one optimal solution.

  • Keywords

Burgers equation fractional optimal control.

  • AMS Subject Headings

26A33, 34A08, 35R11

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

svetlingeorgiev1@gmail.com (S. G. Georgiev)

f.mohamadi093@gmail.com (F. Mohammadizadeh)

hahsani@shahroodut.ac.ir (H. Tehrani)

nooriskandari@shahroodut.ac.ir (M. H. N. Skandari)

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