مى نصر ذكى الحماقى
مدرس مساعد
Theoretical and numerical aspects for long-time behavior of multidimensional time-fractional Schrödinger equations with delay
Journal of Applied Mathematics and Computing • 2025
معلومات البحث
المؤلفون
Mai N. Elhamaky; Minghui Song
الكلمات المفتاحية
Not Available
المجلة العلمية
Journal of Applied Mathematics and Computing
الناشر
Not Available
المجلد
71
العدد
Not Available
الصفحات
1-15
publication.type
International
رابط البحث
Open Link
المواد المرفقة
Not Available
الملخص
We address in this study the theoretical asymptotic stability and long-time decay for the zero solution of the multidimensional time-fractional Schrödinger equations (TFSEs) with delay using the Fractional Halanay inequality. Besides employing the central finite difference scheme for spatial discretization, the
scheme is utilized to approximate the Caputo fractional derivative. Additionally, we investigate the solvability of numerical scheme. It is shown that the long-time behavior of the original problems may be accurately represented by the numerical method. Lastly, the theoretical approach is supported by numerical examples that agree with these results.
scheme is utilized to approximate the Caputo fractional derivative. Additionally, we investigate the solvability of numerical scheme. It is shown that the long-time behavior of the original problems may be accurately represented by the numerical method. Lastly, the theoretical approach is supported by numerical examples that agree with these results.
