Direct and inverse abstract Cauchy problems with fractional powers of almost sectorial operators

IF 2.9 2区数学 Q1 MATHEMATICS

Fractional Calculus and Applied Analysis Pub Date : 2026-03-03 DOI:10.1007/s13540-026-00513-w

Joel E. Restrepo

引用次数: 0

Abstract

We derive the explicit solution operator of an abstract Cauchy problem involving a time-variable coefficient and a fractional power of an almost sectorial operator. The time-variable coefficient is recovered by solving the inverse abstract Cauchy problem using the solution operator representation. As a complement, we also study similar problems by considering almost sectorial operators that depend on a time-variable.

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具有几乎扇形算子分数幂的正、逆抽象柯西问题

导出了一类抽象柯西问题的显式解算子，该问题涉及一个时变系数和一个几乎扇形算子的分数次幂。利用解算子表示，通过求解逆抽象柯西问题恢复时变系数。作为补充，我们还通过考虑依赖于时间变量的几乎扇区算子来研究类似的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Fractional Calculus and Applied Analysis MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

16.70%

发文量

101

期刊介绍： Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.