Extension of the Tricomi problem for a loaded parabolic–hyperbolic equation with a characteristic line of change of type

Umida Baltaeva; Praveen Agarwal; Shaher Momani

doi:10.1002/mma.8428

Extension of the Tricomi problem for a loaded parabolic–hyperbolic equation with a characteristic line of change of type

Umida Baltaeva
, Praveen Agarwal
, Shaher Momani

Nonlinear Dynamic Research Centre (NDRC)

Khorezm Mamun Academy
Urgench State University
International College of Engineering
People's Friendship University of Russia
University of Jordan

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

7 Scopus citations

Abstract

In this work, we investigate a generalization of the Tricomi problem for a loaded mixed-type equation with the Riemann–Liouville fractional differential operator. By using the method of integral equations, a unique solvability of the formulated problem given in piecewise non-parallel characteristics is proven.

Original language	English
Pages (from-to)	12190-12199
Number of pages	10
Journal	Mathematical Methods in the Applied Sciences
Volume	46
Issue number	12
DOIs	https://doi.org/10.1002/mma.8428
State	Published - Aug 2023

Keywords

Riemann–Liouville fractional derivative
boundary value problems
equations of mixed type
gluing conditions
integral equation

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10.1002/mma.8428

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title = "Extension of the Tricomi problem for a loaded parabolic–hyperbolic equation with a characteristic line of change of type",

abstract = "In this work, we investigate a generalization of the Tricomi problem for a loaded mixed-type equation with the Riemann–Liouville fractional differential operator. By using the method of integral equations, a unique solvability of the formulated problem given in piecewise non-parallel characteristics is proven.",

keywords = "Riemann–Liouville fractional derivative, boundary value problems, equations of mixed type, gluing conditions, integral equation",

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AU - Baltaeva, Umida

AU - Agarwal, Praveen

AU - Momani, Shaher

PY - 2023/8

Y1 - 2023/8

N2 - In this work, we investigate a generalization of the Tricomi problem for a loaded mixed-type equation with the Riemann–Liouville fractional differential operator. By using the method of integral equations, a unique solvability of the formulated problem given in piecewise non-parallel characteristics is proven.

AB - In this work, we investigate a generalization of the Tricomi problem for a loaded mixed-type equation with the Riemann–Liouville fractional differential operator. By using the method of integral equations, a unique solvability of the formulated problem given in piecewise non-parallel characteristics is proven.

KW - Riemann–Liouville fractional derivative

KW - boundary value problems

KW - equations of mixed type

KW - gluing conditions

KW - integral equation

UR - https://www.scopus.com/pages/publications/85131524147

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DO - 10.1002/mma.8428

M3 - Article

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 12

ER -

Extension of the Tricomi problem for a loaded parabolic–hyperbolic equation with a characteristic line of change of type

Abstract

Keywords

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