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Your search keyword '"KARIMOV, ERKINJON T."' showing total 11 results
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11 results on '"KARIMOV, ERKINJON T."'

1. 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

8. Unique solvability of a non-local problem for mixed-type equation with fractional derivative.

Author

Karimov, Erkinjon T., Berdyshev, Abdumauvlen S., and Rakhmatullaeva, Nilufar A.

Subjects
*UNIQUENESS (Mathematics), *DERIVATIVES (Mathematics), *VOLTERRA equations, *PROBLEM solving, *GREEN'S functions
Abstract

In this work, we investigate a boundary problem with non-local conditions for mixed parabolic-hyperbolic-type equation with three lines of type changing with Caputo fractional derivative in the parabolic part. We equivalently reduce considered problem to the system of second kind Volterra integral equations. In the parabolic part, we use solution of the first boundary problem with appropriate Green's function, and in hyperbolic parts, we use corresponding solutions of the Cauchy problem. Copyright © 2016 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

Published
2017
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10. 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

11. EXISTENCE OF SOLUTIONS TO NON-LOCAL PROBLEMS FOR PARABOLIC-HYPERBOLIC EQUATIONS WITH THREE LINES OF TYPE CHANGING.

Author

KARIMOV, ERKINJON T. and SOTVOLDIYEV, AKMAL I.

Subjects
*NUMERICAL solutions to boundary value problems, *NUMERICAL solutions to hyperbolic differential equations, *NUMERICAL solutions to partial differential equations, *DIFFERENTIAL equations, *MATHEMATICAL analysis
Abstract

In this work, we study a boundary problem with non-local conditions, by relating values of the unknown function with various characteristics. The parabolic-hyperbolic equation with three lines of type changing is equivalently reduced to a system of Volterra integral equations of the second kind. [ABSTRACT FROM AUTHOR]

Published
2013

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