Solvability of a mixed problem with the integral gluing condition for a loaded equation with the Riemann–Liouville fractional operator

Umida Baltaeva; Yulduz Babajanova; Praveen Agarwal; Necati Ozdemir

doi:10.1016/j.cam.2023.115066

Solvability of a mixed problem with the integral gluing condition for a loaded equation with the Riemann–Liouville fractional operator

Umida Baltaeva
, Yulduz Babajanova
, Praveen Agarwal
, Necati Ozdemir

Nonlinear Dynamic Research Centre (NDRC)

Khorezm Mamun Academy
Urgench State University
International College of Engineering
Balikesir University

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

10 Scopus citations

Abstract

In this paper, we study boundary value problems with an integral gluing condition for a loaded equation of parabolic–hyperbolic type. The existence and uniqueness of the problem under study are proved based on the unique solvability obtained from integral and loaded integral equations.

Original language	English
Article number	115066
Journal	Journal of Computational and Applied Mathematics
Volume	425
DOIs	https://doi.org/10.1016/j.cam.2023.115066
State	Published - Jun 2023

Keywords

Boundary-value problem
Integral condition
Mixed type equation
Parabolic–hyperbolic type
Riemann–Liouville fractional derivatives

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10.1016/j.cam.2023.115066

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title = "Solvability of a mixed problem with the integral gluing condition for a loaded equation with the Riemann–Liouville fractional operator",

abstract = "In this paper, we study boundary value problems with an integral gluing condition for a loaded equation of parabolic–hyperbolic type. The existence and uniqueness of the problem under study are proved based on the unique solvability obtained from integral and loaded integral equations.",

keywords = "Boundary-value problem, Integral condition, Mixed type equation, Parabolic–hyperbolic type, Riemann–Liouville fractional derivatives",

author = "Umida Baltaeva and Yulduz Babajanova and Praveen Agarwal and Necati Ozdemir",

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year = "2023",

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AU - Baltaeva, Umida

AU - Babajanova, Yulduz

AU - Agarwal, Praveen

AU - Ozdemir, Necati

PY - 2023/6

Y1 - 2023/6

N2 - In this paper, we study boundary value problems with an integral gluing condition for a loaded equation of parabolic–hyperbolic type. The existence and uniqueness of the problem under study are proved based on the unique solvability obtained from integral and loaded integral equations.

AB - In this paper, we study boundary value problems with an integral gluing condition for a loaded equation of parabolic–hyperbolic type. The existence and uniqueness of the problem under study are proved based on the unique solvability obtained from integral and loaded integral equations.

KW - Boundary-value problem

KW - Integral condition

KW - Mixed type equation

KW - Parabolic–hyperbolic type

KW - Riemann–Liouville fractional derivatives

UR - https://www.scopus.com/pages/publications/85146419924

U2 - 10.1016/j.cam.2023.115066

DO - 10.1016/j.cam.2023.115066

M3 - Article

AN - SCOPUS:85146419924

SN - 0377-0427

VL - 425

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

M1 - 115066

ER -

Solvability of a mixed problem with the integral gluing condition for a loaded equation with the Riemann–Liouville fractional operator

Abstract

Keywords

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