On the $\varepsilon$-regular mild solution for fractional abstract integro-differential equations

التفاصيل البيبلوغرافية
العنوان: On the $\varepsilon$-regular mild solution for fractional abstract integro-differential equations
المؤلفون: Sousa, J. Vanterler C., Pulido, M. Aurora P., Govindaraj, V., de Oliveira, E. Capelas
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - General Mathematics, 34A08, 34A12, 35B65
الوصف: In this present paper, we first obtained some estimates involving parts of $\varepsilon$-regular mild solutions of the fractional integro-differential equation. In this sense, through these preliminary results, we investigate the main results of this paper, i.e., the existence, regularity and continuous dependence of $\varepsilon$-regular mild solutions for fractional abstract integro-differential equations in Banach space.
Comment: 20 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2310.05977
رقم الأكسشن: edsarx.2310.05977
قاعدة البيانات: arXiv