On Systems of Differential Inclusions of Fractional Order in Banach Spaces

We study systems of fractional differential inclusions in a Banach space whose right-hand sides are multivalued maps of Carathéodory type depending on time, a finite set of functions, and their derivatives. To solve the existence problem for solutions to such a system, we apply the theory of fractional mathematical analysis and the theory of topological degree for multivalued condensing maps.

Authors

Valeri Obukhovskiĭ (ORCID: https://orcid.org/0000-0002-4201-0739)
Mikhail A. Kamenskii (ORCID: https://orcid.org/0000-0002-7542-0902)
Shengda Zeng (ORCID: https://orcid.org/0000-0003-1818-842X)
Garik Petrosyan (ORCID: https://orcid.org/0000-0001-8154-6299)
T. A. Ul’vacheva

Institutions

Chongqing Normal University (CN)
Voronezh State Pedagogical University (RU)
Voronezh State University (RU)

Publication Details

Journal: Siberian Mathematical Journal
Published: 2025-03-01
DOI: https://doi.org/10.1134/s0037446625020089
Primary Topic: Nonlinear Differential Equations Analysis
Type: article
Field-Weighted Citation Impact: 0.00

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article

On Systems of Differential Inclusions of Fractional Order in Banach Spaces

Valeri Obukhovskiĭ, Mikhail A. Kamenskii, Shengda Zeng, Garik Petrosyan et al.

Mar 1, 2025

Siberian Mathematical Journal

Nonlinear Differential Equations Analysis

article

On Systems of Differential Inclusions of Fractional Order in Banach Spaces

Valeri Obukhovskiĭ, Mikhail A. Kamenskii, Shengda Zeng, Garik Petrosyan, T. A. Ul’vacheva

March 1, 2025article en

Abstract

We study systems of fractional differential inclusions in a Banach space whose right-hand sides are multivalued maps of Carathéodory type depending on time, a finite set of functions, and their derivatives. To solve the existence problem for solutions to such a system, we apply the theory of fractional mathematical analysis and the theory of topological degree for multivalued condensing maps.

Siberian Mathematical JournalVol. 66(2)

Chongqing Normal University (CN), Voronezh State Pedagogical University (RU), Voronezh State University (RU)

Reduced inequalities

Openalex Percentile: Top 92%

Nonlinear Differential Equations Analysis

DOI Source OpenAlex

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On Systems of Differential Inclusions of Fractional Order in Banach Spaces — Valeri Obukhovskiĭ, Mikhail A. Kamenskii, et al. · Siberian Mathematical Journal (2025) | TGRS Research Map | TGRS