student at Fergana State University

Azizbek Mamanazarov; Yokutkhon Djuraeva

Mathematics

No. 3 (2024): FarDU.Ilmiy xabarlar jurnali. Ilova to'plam (Aniq va tabiiy fanlar)

student at Fergana State University

Mamanazarov Azizbek Otajon ugli^▸^▾
Djuraeva Yokutkhon Bakhromjon qizi^▸^▾

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Submitted: August 13, 2024
Published: 2024-09-12

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.

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[1] 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.

[2] R. Hilfer. (2000). Applications of Fractional Calculus in Physics, World Scientific, Singapore, p.87 and p.429.

[3] R. Hilfer. (2002). Experimental evidence for fractional time evolution in glass materials, Chem. Physics 284, 399-408.

[4] A. A. Kilbas, H. M. Srivastava va J. J. Trujillo. (2006). Theory and Applications of Fractional Differential Equations, Elsevier, North-Holland.