Cauchy problem for a parabolic–hyperbolic equation with non-characteristic line of type changing

Praveen Agarwal; Umida Baltaeva; Nafosat Vaisova

doi:10.1002/mma.8314

Cauchy problem for a parabolic–hyperbolic equation with non-characteristic line of type changing

Praveen Agarwal
, Umida Baltaeva
, Nafosat Vaisova

Nonlinear Dynamic Research Centre (NDRC)

International College of Engineering
International Center for Basic and Applied Sciences
People's Friendship University of Russia
Khorezm Mamun Academy
Urgench State University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this work, we present the advanced fractional model described with the loaded parabolic–hyperbolic-type equation. Also, for this equation, we investigate a Cauchy-type problem with a line of changing type. The existence and uniqueness of the solutions to the problem are proven using the theory of integral equations.

Original language	English
Pages (from-to)	8294-8304
Number of pages	11
Journal	Mathematical Methods in the Applied Sciences
Volume	45
Issue number	13
DOIs	https://doi.org/10.1002/mma.8314
State	Published - 15 Sep 2022

Keywords

Cauchy problem
Riemann–Liouville fractional derivatives
loaded equation
mixed-type equation

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10.1002/mma.8314

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title = "Cauchy problem for a parabolic–hyperbolic equation with non-characteristic line of type changing",

abstract = "In this work, we present the advanced fractional model described with the loaded parabolic–hyperbolic-type equation. Also, for this equation, we investigate a Cauchy-type problem with a line of changing type. The existence and uniqueness of the solutions to the problem are proven using the theory of integral equations.",

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T1 - Cauchy problem for a parabolic–hyperbolic equation with non-characteristic line of type changing

AU - Agarwal, Praveen

AU - Baltaeva, Umida

AU - Vaisova, Nafosat

PY - 2022/9/15

Y1 - 2022/9/15

N2 - In this work, we present the advanced fractional model described with the loaded parabolic–hyperbolic-type equation. Also, for this equation, we investigate a Cauchy-type problem with a line of changing type. The existence and uniqueness of the solutions to the problem are proven using the theory of integral equations.

AB - In this work, we present the advanced fractional model described with the loaded parabolic–hyperbolic-type equation. Also, for this equation, we investigate a Cauchy-type problem with a line of changing type. The existence and uniqueness of the solutions to the problem are proven using the theory of integral equations.

KW - Cauchy problem

KW - Riemann–Liouville fractional derivatives

KW - loaded equation

KW - mixed-type equation

UR - https://www.scopus.com/pages/publications/85129148877

U2 - 10.1002/mma.8314

DO - 10.1002/mma.8314

M3 - Article

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VL - 45

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EP - 8304

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 13

ER -

Cauchy problem for a parabolic–hyperbolic equation with non-characteristic line of type changing

Abstract

Keywords

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