کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
473425 698790 2011 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence of solutions for a class of nonlinear Volterra singular integral equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Existence of solutions for a class of nonlinear Volterra singular integral equations
چکیده انگلیسی

In this paper we prove some results concerning the existence of solutions for a large class of nonlinear Volterra singular integral equations in the space C[0,1]C[0,1] consisting of real functions defined and continuous on the interval [0,1][0,1]. The main tool used in the proof is the concept of a measure of noncompactness. We also present some examples of nonlinear singular integral equations of Volterra type to show the efficiency of our results. Moreover, we compare our theory with the approach depending on the use of the theory of Volterra–Stieltjes integral equations. We also show that the results of the paper are applicable in the study of the so-called fractional integral equations which are recently intensively investigated and find numerous applications in describing some real world problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 62, Issue 3, August 2011, Pages 1215–1227
نویسندگان
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