FORMULATION OF THE CAUSHIE PROBLEM FOR THE TIME-FRACTAL AIRY EQUATION ON A BOUNDARY GRAPH

Kamoliddin Rakhimov Orinbayevich, Mashrapov Kuvonchbek Qakhramon ugli

FORMULATION OF THE CAUSHIE PROBLEM FOR THE TIME-FRACTAL AIRY EQUATION ON A BOUNDARY GRAPH

Authors

Kamoliddin Rakhimov Orinbayevich, Mashrapov Kuvonchbek Qakhramon ugli University of Exact and Social Sciences.

Keywords:

Airy equation, ibvp, , fundamental solutions, Kirchhoff's rule at a point

Abstract

The formulation of the Cauchy problem for the time-fractional Airy equation on a bounded graph and the proof of the uniqueness of the solution by the method of potentials through boundary conditions are considered.

References

Z. A. Sobirov, M. I. Akhmedov, H. Uecker. Cauchy problem for the linearized KdV equation on general metric star graphs. Nano systems: Physics, Chemistry, Mathematics, 2015, 6(65). P. 198-204.

T. D. Djuraev Kraevye zadachi dlya uravneniy smeshannogo and smeshanno-sostavnogo types. Tashkent 1979.

L. Cattabriga. Unproblema al contorno per una equazione parabolica di ordine dis pari. Annalidella Scuola Normale Superiore di Pisa a mat. Series III. 13(21), 1959.

Z.A.Sobirov, M.I.Akhmedov, O.V.Karpova, B.Jabbarova, Linearized KdV equation on a metric graph, Nanosystems: Physics, Chemistry, Mathematics, 6(2015), no. 6, 757–761.

K. Rakhimov, Z. Sobirov, N. Jabborov, The Time-fractional Airy Equation on the Metric Graph, J. Sib. Fed. Univ. Math. Phys., 2021, 14(3), 376–388.

Downloads

Published

2026-03-27

How to Cite

Kamoliddin Rakhimov Orinbayevich, Mashrapov Kuvonchbek Qakhramon ugli. (2026). FORMULATION OF THE CAUSHIE PROBLEM FOR THE TIME-FRACTAL AIRY EQUATION ON A BOUNDARY GRAPH. Ethiopian International Journal of Multidisciplinary Research, 13(03), 1145–1148. Retrieved from https://www.eijmr.org/index.php/eijmr/article/view/5768