کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626384 1631786 2015 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical solution of nonlinear delay differential equations of fractional order in reproducing kernel Hilbert space
ترجمه فارسی عنوان
حل عددی معادلات دیفرانسیل غیرخطی دیفرانسیل مرتبه کسر در بازسازی فضای هیلبرت هسته
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

In this paper, approximate solutions to a class of fractional differential equations with delay are presented by using a semi-analytical approach in Hilbert function space. Further, the uniqueness of the solution is proved in the space of real-valued continuous functions, as well as the existence of the solution is proved in Hilbert function space. We also prove convergence and perform an analysis error for the proposed approach. Sophisticated delay differential equations of fractional order are considered as test examples. Numerical results illustrate the efficiency of the proposed approach computationally.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 268, 1 October 2015, Pages 815–831
نویسندگان
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