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Numerical Solution for Fractional Differential Equation using Power Series

المؤلف الرئيسي: Almomanie, Asmaa Daoud Abed Al-Rhman (Author)
مؤلفين آخرين: Albadarneh, Ramzi Bader (Advisor), Al-Ashhab, Saleem Shafeeq (Advisor)
التاريخ الميلادي: 2019
موقع: المفرق
الصفحات: 1 - 57
رقم MD: 976568
نوع المحتوى: رسائل جامعية
اللغة: الإنجليزية
الدرجة العلمية: رسالة ماجستير
الجامعة: جامعة آل البيت
الكلية: كلية العلوم
الدولة: الاردن
قواعد المعلومات: Dissertations
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المستخلص: The main aim of this thesis is to find accurate approximate solutions for linear and nonlinear fractional differential equations. It is necessary to carry out this aim using of solution differential fractional equation by power series. In this thesis, the numerical solutions of linear and nonlinear fractional differential equations using our method will be discussed and illustrated. The exact solutions of some problems in this thesis are difficult to be obtained analytically. The purposed problem is to construct an algorithm to find accurate approximate solutions for linear and nonlinear fractional differential equations. Our method is illustrated by solving several examples of linear and nonlinear fractional differential equations.

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