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Your search keyword '"Akhatov, Jasurjon S."' showing total 12 results
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12 results on '"Akhatov, Jasurjon S."'

6. A boundary problem with integral gluing condition for a parabolic-hyperbolic equation involving the Caputo fractional derivative

Author

Karimov, Erkinjon T. and Akhatov, Jasurjon S.

Subjects
Mathematics - Analysis of PDEs, 35M10
Abstract

In the present work we investigate the Tricomi problem with integral gluing condition for parabolic-hyperbolic equation with the Caputo fractional order derivative. Using the method of energy integrals we prove the uniqueness of the solution for considered problem. The existence will be proved using methods of ordinary differential equations, Fredholm integral equations and solution will be represented in an explicit form., Comment: 7 pages

Published
2013

12. A BOUNDARY PROBLEM WITH INTEGRAL GLUING CONDITION FOR A PARABOLIC-HYPERBOLIC EQUATION INVOLVING THE CAPUTO FRACTIONAL DERIVATIVE.

Author

KARIMOV, ERKINJON T. and AKHATOV, JASURJON S.

Subjects
*DEGENERATE parabolic equations, *CAPUTO fractional derivatives, *ORDINARY differential equations, *FREDHOLM equations, *GREEN'S functions
Abstract

In the present work we investigate the Tricomi problem with an integral gluing condition for a parabolic-hyperbolic equation involving the Caputo fractional differential operator. Using the method of energy integrals, we prove the uniqueness of the solution for the considered problem. The existence of the solution have been proved applying methods of ordinary differential equations and Fredholm integral equations. The solution is represented in an explicit form. [ABSTRACT FROM AUTHOR]

Published
2014

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