کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
468392 | 698225 | 2012 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The technique of Volterra–Stieltjes integral equations in the application to infinite systems of nonlinear integral equations of fractional orders
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Our study in this paper concerns the infinite systems of nonlinear integral equations of Volterra–Stieltjes type. We show that some assumptions imposed on terms of the mentioned systems guarantee the solvability of those systems in the space C(I,c0)C(I,c0) with I=[0,1]I=[0,1] and c0c0 being the classical sequence space. As a particular and very important case of the investigated systems of nonlinear Volterra–Stieltjes integral equations we obtain infinite systems of nonlinear integral equations of fractional orders. Thus, the approach applied in the paper enables us to obtain rather general results concerning the existence of solutions of infinite systems of nonlinear fractional integral equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 64, Issue 10, November 2012, Pages 3108–3116
Journal: Computers & Mathematics with Applications - Volume 64, Issue 10, November 2012, Pages 3108–3116
نویسندگان
Józef Banaś, Beata Rzepka,