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EXISTENCE OF SOLUTIONS OF FRACTIONAL EQUATION WITH NEW BOUNDARY CONDITIONS
Дата публикации: 13-10-2026 11:36:54

Название: EXISTENCE OF SOLUTIONS OF FRACTIONAL EQUATION WITH NEW BOUNDARY CONDITIONS
Авторы: Khelil, Karima Ali; Messikh, Chahrazed

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Название: EXISTENCE OF SOLUTIONS OF FRACTIONAL EQUATION WITH NEW BOUNDARY CONDITIONS
Авторы: Khelil, Karima Ali
Messikh, Chahrazed
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: Khelil Karima Ali. EXISTENCE OF SOLUTIONS OF FRACTIONAL EQUATION WITH NEW BOUNDARY CONDITIONS / Karima Ali Khelil, Chahrazed Messikh. — Text : electronic // Ural Mathematical Journal. — 2026. — Volume 12. — № 1. — P. 4-15.
Аннотация: In this paper, we investigate a nonlinear fractional integro-differential equation involving Caputo fractional derivatives together with nonlocal boundary conditions. In contrast to some existing works, the problem is considered with homogeneous initial conditions. By applying Krasnoselskii's fixed-point theorem together with the Arzelá–Ascoli theorem, we establish sufficient conditions ensuring the existence of solutions in an appropriate Banach space. The obtained results extend and complement earlier contributions in the literature. An example is provided to illustrate the theory.
Ключевые слова: INTEGRO-DIFFERENTIAL EQUATIONS
BOUNDARY VALUE PROBLEM
FRACTIONAL INTEGRAL OPERATOR
FRACTIONAL DERIVATIVE OPERATOR
URI: https://elar.urfu.ru/handle/10995/157782
Условия доступа: Creative Commons Attribution License
Текст лицензии: https://creativecommons.org/licenses/by/4.0/
Идентификатор РИНЦ: 91852788
EDN: DOXBJW
ISSN: 2414-3952
DOI: 10.15826/umj.2026.1.001
Сведения о поддержке: The authors would like to thank the anonymous reviewers for their careful reading of themanuscript and their valuable comments and suggestions, which greatly contributed to improvingthe quality of this paper.
Источники: Ural Mathematical Journal. 2026. Volume 12. № 1
Располагается в коллекциях:Ural Mathematical Journal

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