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EXISTENCE AND ULAM–HYERS STABILITY OF SOLUTIONS FOR SOME BACKWARD IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
Дата публикации: 13-10-2026 11:36:54

Название: EXISTENCE AND ULAM–HYERS STABILITY OF SOLUTIONS FOR SOME BACKWARD IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
Авторы: Mahmoudi, Abdelouahab; Kessi, Arezki

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Название: EXISTENCE AND ULAM–HYERS STABILITY OF SOLUTIONS FOR SOME BACKWARD IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
Авторы: Mahmoudi, Abdelouahab
Kessi, Arezki
Дата публикации: 2026
Издатель: N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences
Ural Federal University named after the first President of Russia B.N. Yeltsin
Библиографическое описание: Mahmoudi Abdelouahab. EXISTENCE AND ULAM–HYERS STABILITY OF SOLUTIONS FOR SOME BACKWARD IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES / Abdelouahab Mahmoudi, Arezki Kessi. — Text : electronic // Ural Mathematical Journal. — 2026. — Volume 12. — № 1. — P. 71-89.
Аннотация: This paper investigates the existence and generalized Ulam-Hyers stability of solutions for a class of nonlinear backward impulsive fractional differential equations in Banach spaces with both local and nonlocal conditions. By reformulating the problem as an equivalent integral equation, we apply classical fixed point theorems, including those of Banach, Schaefer, and Krasnoselskii, to derive sufficient conditions for the existence and uniqueness of solutions. The generalized Ulam-Hyers stability of the solutions is analyzed under suitable assumptions on the nonlinearities. Several illustrative examples are provided to demonstrate the applicability and effectiveness of the theoretical results.
Ключевые слова: BACKWARD IMPULSIVE
CAPUTO DERIVATIVE
NONLOCAL CONDITIONS
ULAM STABILITY
FIXED POINT
URI: https://elar.urfu.ru/handle/10995/157787
Условия доступа: Creative Commons Attribution License
Текст лицензии: https://creativecommons.org/licenses/by/4.0/
Идентификатор РИНЦ: 91852793
EDN: REUQTW
ISSN: 2414-3952
DOI: 10.15826/umj.2026.1.006
Источники: Ural Mathematical Journal. 2026. Volume 12. № 1
Располагается в коллекциях:Ural Mathematical Journal

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