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

被引：3

作者：

Baltaeva, Umida ^{[1
,2
]}

Babajanova, Yulduz ^{[3
]}

Agarwal, Praveen ^{[4
,5
]}

Ozdemir, Necati ^{[6
]}

机构：

[1] Khorezm Mamun Acad, Khorezm, Uzbekistan

[2] Urgench State Univ, Dept Appl Math & Math Phys, Urgench, Uzbekistan

[3] Urgench State Univ, Dept Math Engn, Urgench, Uzbekistan

[4] Anand Int Coll Engn, Dept Math, Appl Nonlinear Sci Lab, Jaipur 303012, India

[5] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates

[6] Balikesir Univ, Dept Math, Balikesir, Turkiye

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 425卷

关键词：

Mixed type equation; Parabolic-hyperbolic type; Boundary -value problem; Integral condition; Riemann-Liouville fractional derivatives; BOUNDARY-VALUE PROBLEM;

D O I：

10.1016/j.cam.2023.115066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：9

共 31 条

[1] Gellerstedt Type Problem with Integral Gluing Condition for a Mixed Type Equation with Non-linear Loaded Term
Abdullaev, O. Kh
[J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2021, 42 (03) : 479 - 489
[2] A nonlocal problem with integral gluing condition for a third-order loaded equation with parabolic-hyperbolic operator involving fractional derivatives
Agarwal, Praveen
Abdullaev, Obidjon Kh.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (06) : 3716 - 3726
[3] Solvability of a Non-local Problem with Integral Transmitting Condition for Mixed Type Equation with Caputo Fractional Derivative
Agarwal, Praveen
Berdyshev, Abdumauvlen
Karimov, Erkinjon
[J]. RESULTS IN MATHEMATICS, 2017, 71 (3-4) : 1235 - 1257
[4] [Anonymous], 2003, J APPL MATH, DOI DOI 10.1155/S1110757X03303031
[5] Analog of the Darboux problem for a loaded integro-differential equation involving the Caputo fractional derivative
Baltaeva, U.
Alikulov, Y.
Baltaeva, I. I.
Ashirova, A.
[J]. NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS, 2021, 12 (04): : 418 - 424
[6] On the Solvability of Boundary-Value Problems with Continuous and Generalized Gluing Conditions for the Equation of Mixed Type with Loaded Term
Baltaeva, U. I.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2018, 69 (12) : 1845 - 1854
[7] Beilin SA, 2001, ELECTRON J DIFFER EQ
[8] On the General Stability of a Viscoelastic Wave Equation with an Integral Condition
Belhannache, Farida
Messaoudi, Salim A.
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2020, 36 (04): : 857 - 869
[9] Nonlinear generalized fractional differential equations with generalized fractional integral conditions
Belmor, Samiha
Ravichandran, Chokkalingam
Jarad, Fahd
[J]. JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2020, 14 (01): : 114 - 123
[10] On a boundary-value problem for the parabolic-hyperbolic equation with the fractional derivative and the sewing condition of the integral form
Berdyshev, Abdumauvlen S.
Karimov, Erkinjon T.
Akhtaeva, Nazgul S.
[J]. INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2014), 2014, 1611 : 133 - 137

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