student at Fergana State University
Keywords:
fractional Hilfer differential operator, Benjamin, Bona and Mahony equation, the existence of the solution.Abstract
In this article, the conditions for the non-existence of the solution to the initial boundary value problem for Benjamin-Bona-Mahony equation containing fractional order Hilfer operators are determined.
References
T. B. Benjamin, J. L. Bona, J. J. Mahony. (1972). Model equations for long waves in nonlinear dispersive systems. Phil. Trans. R. Soc. Ser. A. 272, 47–78.
R. Hilfer. (2000). Applications of Fractional Calculus in Physics, World Scientific, Singapore, p.87 and p.429.
R. Hilfer. (2002). Experimental evidence for fractional time evolution in glass materials, Chem. Physics 284, 399-408.
A. A. Kilbas, H. M. Srivastava va J. J. Trujillo. (2006). Theory and Applications of Fractional Differential Equations, Elsevier, North-Holland.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Scientific journal of the Fergana State University
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Most read articles by the same author(s)
- , , BOUNDARY PROBLEM FOR A PARABOLIC-HYPERBOLIC EQUATIONS WITH DIFFERENT TIME DIRECTIONS , Scientific journal of the Fergana State University: No. 3 (2024): FarDU.Ilmiy xabarlar jurnali. Ilova to'plam (Aniq va tabiiy fanlar)
- Mamanazarov Azizbek Otajon ugli, Mahmudjonova Shohsanam Bahromjon qizi, INVERSE SOURCE PROBLEM FOR A DEGENERATE SUBDIFFUSION EQUATION , Scientific journal of the Fergana State University: No. 1 (2025): FarDU ilmiy xabarlari jurnali (ANIQ FANLAR)