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Existence of solutions for a class of Fredholm integral-differential equations via measure of non-compactness | ||
| Iranian Journal of Science | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 31 شهریور 1394 | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2015.3206 | ||
| نویسندگان | ||
| Reza Arab* 1؛ Reza Allahyari2؛ Ali Shole Haghighi2 | ||
| 1Department of Mathematics‎, Sari Branch ‎‎Islamic Azad University‎ Sari‎, ‎Iran | ||
| 2Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran | ||
| چکیده | ||
| In this present paper, we introduce a measure of non-compactness on the space C^n[a;b]. As an application, we study the problem of existence of solutions of Fredholm integral-differential equations by using the technique of measures of non-compactness in conjunction with Darbo’s fixed point theorem. Further, we give some illustrative examples to verify the effectiveness and applicability of our results. | ||
| کلیدواژهها | ||
| Measures of non-compactness؛ Darbo’s fixed point theorem؛ Integral-differential equations. | ||
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