کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628656 1631832 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Monotone iterative solutions for nonlinear boundary value problems of fractional differential equation with deviating arguments
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Monotone iterative solutions for nonlinear boundary value problems of fractional differential equation with deviating arguments
چکیده انگلیسی


• We introduce monotone sequences of lower and upper solutions.
• The existence result of solution are established.
• We introduce a numerical iterative scheme.

By means of the monotone iterative technique and the method of lower and upper solutions, we consider the nonlinear boundary value problems with Riemann–Liouville fractional derivative and deviating arguments, introduce two well-defined monotone sequences of lower and upper solutions which converge uniformly to the actual solution of the problem, and then the existence result of solution for the problems are established. A numerical iterative scheme is introduced to obtain an accurate approximate solution for the problem. As an application, an example is presented to demonstrate the accuracy and efficiency of the new approach.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 222, 1 October 2013, Pages 72–81
نویسندگان
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