Initial boundary value problem for a high-order equation with two lines of degeneracy with the Caputo derivative

被引：1
作者：
Irgashev, B. Yu. [1 ,2 ]
机构：
[1] New Uzbekistan Univ, Tashkent, Uzbekistan
[2] Acad Sci Uzbek, Inst Math, Tashkent, Uzbekistan
来源：
CHAOS SOLITONS & FRACTALS | 2023年 / 176卷
关键词：
Equation; High order; Boundary value problem; Fractional derivative; Eigenvalue; Eigenfunction; Kilbas-Saigo function; Series; Convergence; Existence; Uniqueness; DIFFERENTIAL-EQUATIONS;
D O I：
10.1016/j.chaos.2023.114119
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The article studies the uniqueness of the solvability of the initial-boundary value problem in a rectangular domain for an equation of high even order, which has two lines of degeneracy in each variable, with the participation of the fractional Caputo operator.
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页数：5
相关论文
共 27 条
[1]  
[Anonymous], 2023, Vestnik KRAUNC. Fiz.-Mat. Nauki, V42, P123, DOI DOI 10.26117/2079-6641-2023-42-1-123-139
[2]   Fractional Integral Inequalities and Their Applications to Degenerate Differential Equations with the Caputo Fractional Derivative [J].
Artyushin, A. N. .
SIBERIAN MATHEMATICAL JOURNAL, 2020, 61 (02) :208-221
[3]  
Ashurov R, 2023, Arxiv, DOI [arXiv:2304.00998, 10.48550/arXiv.2304.00998, DOI 10.48550/ARXIV.2304.00998]
[4]  
Bogolyubov A. N., 2013, Mathematical Modeling, V25, P50
[5]   Some Properties of the Kilbas-Saigo Function [J].
Boudabsa, Lotfi ;
Simon, Thomas .
MATHEMATICS, 2021, 9 (03) :1-24
[6]   On linear fractional differential equations with variable coefficients [J].
Fernandez, Arran ;
Restrepo, Joel E. ;
Suragan, Durvudkhan .
APPLIED MATHEMATICS AND COMPUTATION, 2022, 432
[7]   Linear differential equations with variable coefficients and Mittag-Leffler kernels [J].
Fernandez, Arran ;
Restrepo, Joel E. ;
Suragan, Durvudkhan .
ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (06) :4757-4763
[8]  
Hilfer R., 2001, Applications of Fractional Calculus in Physics World Scientific
[9]   A Boundary Value Problem with Conjugation Conditions for a Degenerate Equation with the Caputo Fractional Derivative [J].
Irgashev, B. Yu. .
RUSSIAN MATHEMATICS, 2022, 66 (04) :24-31
[10]   Initial-boundary problem for degenerate high order equation with fractional derivative [J].
Irgashev, B. Yu. .
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2022, 53 (01) :170-180
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