دورية أكاديمية

On the nonlocal hybrid (k,φ)-Hilfer inverse problem with delay and anticipation

التفاصيل البيبلوغرافية
العنوان: On the nonlocal hybrid (k,φ)-Hilfer inverse problem with delay and anticipation
المؤلفون: Abdelkrim Salim, Sabri T. M. Thabet, Imed Kedim, Miguel Vivas-Cortez
المصدر: AIMS Mathematics, Vol 9, Iss 8, Pp 22859-22882 (2024)
بيانات النشر: AIMS Press, 2024.
سنة النشر: 2024
المجموعة: LCC:Mathematics
مصطلحات موضوعية: $ ({\mathsf{k}}, {\rm{\mathsf{φ}}}) $-hilfer fractional derivative, hybrid equations, terminal value problem, retarded arguments, advanced arguments, existence, uniqueness, nonlocal condition, Mathematics, QA1-939
الوصف: This paper focused on establishing results regarding the existence of solutions for a class of nonlocal terminal value problems involving hybrid implicit nonlinear fractional differential equations with the $ ({\mathsf{k}}, {\rm{\mathsf{φ}}}) $-Hilfer fractional derivative, which includes both finite delay and anticipation arguments. Our analysis was based on the Banach fixed point technique, and the Schauder and Krasnoselskii fixed point theorems. Moreover, illustrative examples were considered to support our new results.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2473-6988
Relation: https://doaj.org/toc/2473-6988
DOI: 10.3934/math.20241112?viewType=HTML
DOI: 10.3934/math.20241112
URL الوصول: https://doaj.org/article/64b21b47225f4d0f83538a51b21b4ef0
رقم الأكسشن: edsdoj.64b21b47225f4d0f83538a51b21b4ef0
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:24736988
DOI:10.3934/math.20241112?viewType=HTML