Space-dependent variable-order time-fractional wave equation: existence and uniqueness of its weak solution-Reference-Cited by-同舟云学术

Space-dependent variable-order time-fractional wave equation: existence and uniqueness of its weak solution

Published:2022-09-01 Issue: Volume: Page:1-21
ISSN:1607-3606
Container-title:Quaestiones Mathematicae
language:en
Short-container-title:Quaestiones Mathematicae

Author:

Van Bockstal K.¹,Hendy A.S.²³,Zaky M.A.⁴

Affiliation:

1. Research Group NaM2, Department of Electronics and Information systems, Ghent University, Krijgslaan 281, 9000 Ghent, Belgium.

2. Department of Computational Mathematics and Computer Science, Institute of Natural Sciences and Mathematics, Ural Federal University, 19 Mira St., Yekaterinburg 620002, Russia

3. Department of Mathematics, Faculty of Science, Benha University, Benha 13511, Egypt.

4. Department of Applied Mathematics, National Research Centre, Dokki, Cairo 12622, Egypt.

Funder

Research Foundation Flanders

Publisher

National Inquiry Services Center (NISC)

Subject

Mathematics (miscellaneous)

Link

https://www.tandfonline.com/doi/pdf/10.2989/16073606.2022.2110959

Reference36 articles.

1. A priori estimates for solutions of boundary value problems for fractional-order equations

2. The Variable-Order Fractional Calculus of Variations

3. Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod

4. Rothe time discretization method for fractional integro-differential equations

5. Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation

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