Benha University

مى نصر ذكى الحماقى

مدرس مساعد

كلية العلوم الرياضيات

Theoretical and numerical aspects for long-time behavior of multidimensional time-fractional Schrödinger equations with delay

Journal of Applied Mathematics and Computing • 2025
العودة
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.
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