student at Fergana State University

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Published: Sep 12, 2024
Keywords:
fractional Hilfer differential operator, Benjamin, Bona and Mahony equation, the existence of the solution.

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Mamanazarov Azizbek Otajon ugli
Fergana State University
Djuraeva Yokutkhon Bakhromjon qizi
Fergana State University

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.

Article Details

How to Cite
Mamanazarov , A., & Djuraeva , Y. (2024). student at Fergana State University. Scientific Journal of the Fergana State University, 30(3), 334. Retrieved from https://journal.fdu.uz/index.php/sjfsu/article/view/4503
Issue
No. 3 (2024): FarDU.Ilmiy xabarlar jurnali. Ilova to'plam (Aniq va tabiiy fanlar)
Section
Mathematics
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Author Biographies

Mamanazarov Azizbek Otajon ugli, Fergana State University

Associate Professor of Fergana State University

Djuraeva Yokutkhon Bakhromjon qizi, Fergana State University

Master Student of Fergana State University

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.