| Issue |
E3S Web Conf.
Volume 474, 2024
X International Annual Conference “Industrial Technologies and Engineering” (ICITE 2023)
|
|
|---|---|---|
| Article Number | 02023 | |
| Number of page(s) | 15 | |
| Section | Applied IT Technologies in Energy and Industry | |
| DOI | https://doi.org/10.1051/e3sconf/202447402023 | |
| Published online | 08 January 2024 | |
Approximate solution of non-local boundary value problems for a loaded hyperbolic equation with two fractional differentiation operators
Institute of Applied Mathematics and Automation, KBSC RAS, 360000 Nalchik, Russia
1 Corresponding author: beshtokov-murat@yandex.ru
Nonlocal boundary value problems for the loaded hyperbolic type equation with two fractional differentiation operators are studied. Using the method of energy inequalities for various relations between the orders of the fractional derivative (α, β), a priori estimates in differential and difference interpretations are obtained for the solution of the problem under consideration,which imply the uniqueness and stability of the solution with respect to the initial data and the right-hand side, as well as the convergence of the solution of the difference problem to the solution of the original differential problem at the rate equal to the of approximation.
© The Authors, published by EDP Sciences, 2024
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