The Periodic Solution of Fractional Oscillation Equation with Periodic Input

المؤلف

Duan, Jun-Sheng

المصدر

Advances in Mathematical Physics

العدد

المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-6، 6ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2013-09-29

دولة النشر

مصر

عدد الصفحات

6

التخصصات الرئيسية

الفيزياء

الملخص EN

The periodic solution of fractional oscillation equation with periodic input is considered in this work.

The fractional derivative operator is taken as -∞Dtα, where the initial time is -∞; hence, initial conditions are not needed in the model of the present fractional oscillation equation.

With the input of the harmonic oscillation, the solution is derived to be a periodic function of time t with the same circular frequency as the input, and the frequency of the solution is not affected by the system frequency c as is affected in the integer-order case.

These results are similar to the case of a damped oscillation with a periodic input in the integer-order case.

Properties of the periodic solution are discussed, and the fractional resonance frequency is introduced.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Duan, Jun-Sheng. 2013. The Periodic Solution of Fractional Oscillation Equation with Periodic Input. Advances in Mathematical Physics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-504844

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Duan, Jun-Sheng. The Periodic Solution of Fractional Oscillation Equation with Periodic Input. Advances in Mathematical Physics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-504844

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Duan, Jun-Sheng. The Periodic Solution of Fractional Oscillation Equation with Periodic Input. Advances in Mathematical Physics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-504844

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-504844