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Extension of Darbo fixed-point theorem to illustrate existence of the solutions of some nonlinear functional stochastic integral equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 31، دوره 11، شماره 1، تیر 2020، صفحه 413-421 اصل مقاله (123.37 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2018.14031.1743 | ||
| نویسندگان | ||
| Farshid Mirzaee* 1؛ Nasrin Samadyar2 | ||
| 1Malayer University | ||
| 2Department of mathematics, Malayer University, Malayer, Iran. | ||
| تاریخ دریافت: 11 اسفند 1396، تاریخ بازنگری: 18 آبان 1397، تاریخ پذیرش: 01 آذر 1397 | ||
| چکیده | ||
| In this paper, Darbo fixed-point theorem is employed as a mathematical tool to examine existence of the solution of some nonlinear functional stochastic integral equations which arise in many physical, chemical and biological problems. Throughout this paper, we consider (C[0, 1]; ∥.∥ ) as Banach space equipped with uniform norm. | ||
| کلیدواژهها | ||
| Nonlinear functional integral equations؛ Stochastic integral equations؛ Fixed-point theorem؛ Banach space؛ Measure of non-compactness | ||
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