带贝塞尔算子的分数扩散方程的反系数问题

IF 0.5 Q3 MATHEMATICS

Russian Mathematics Pub Date : 2023-12-15 DOI:10.3103/s1066369x23090049

D. I. Akramova

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引用次数: 0

摘要

摘要研究了带有贝塞尔算子和格拉西莫夫-卡普托导数的分数扩散方程在有界域中的第二初边界值问题。得到了在积分观测条件下确定一维分数扩散方程最低系数的逆问题解的存在性和唯一性定理。利用 Schauder 原则证明了解的存在性。

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Inverse Coefficient Problem for a Fractional-Diffusion Equation with a Bessel Operator

Abstract

The second initial-boundary value problem in a bounded domain for a fractional-diffusion equation with the Bessel operator and the Gerasimov–Caputo derivative is investigated. Theorems of existence and uniqueness of the solution to the inverse problem of determining the lowest coefficient in a one-dimensional fractional-diffusion equation under the condition of integral observation are obtained. The Schauder principle was used to prove the existence of the solution.

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来源期刊

Russian Mathematics MATHEMATICS-

CiteScore

0.90

自引率

25.00%

发文量

期刊介绍： Russian Mathematics is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.