On a differential equation with Caputo-Fabrizio fractional derivative of order 1 < b < 2 and application to mass-spring-damper system

Nasser Al-Salti, Erkinjon Karimov*, Kishin Sadarangani

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

56 اقتباسات (Scopus)

ملخص

In this work, we investigate a linear differential equation involving Caputo-Fabrizio fractional derivative of order 1 < b < 2. Under some assumptions the considered equation is reduced to an integer order differential equation and solutions for different cases are obtained in explicit forms.We also prove a uniqueness of a solution of an initial value problem with a nonlinear differential equation containing the Caputo-Fabrizio derivative. Application of our result to the mass-spring-damper motion is also presented.

اللغة الأصليةEnglish
الصفحات (من إلى)257-263
عدد الصفحات7
دوريةProgress in Fractional Differentiation and Applications
مستوى الصوت2
رقم الإصدار4
المعرِّفات الرقمية للأشياء
حالة النشرPublished - أكتوبر 1 2016

ASJC Scopus subject areas

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بصمة

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