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On the study of nonlinear sequential fractional integro-differential equation with nonseparated boundary conditions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 28 دی 1403 اصل مقاله (378.49 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.25586.3062 | ||
| نویسندگان | ||
| Mariam El Hassnaoui1؛ Hssaine Oummi* 2 | ||
| 1Laboratory of Applied Mathematics and Scientific Calculus, Sultan Moulay Sliman University, Morocco | ||
| 2Department of Applied Mathematics, Faculty of Applied Sciences Ait Melloul. University Ibn Zohr, Morocco | ||
| تاریخ دریافت: 23 مهر 1400، تاریخ پذیرش: 24 آذر 1400 | ||
| چکیده | ||
| The aim of this paper is to study the existing results of nonlinear sequential fractional integro-differential equations with nonseparated boundary conditions. In this work, we consider a nonlinear problem and general boundary conditions. This extension introduces mathematical difficulties which we will overcome by using fixed-point techniques. For this, we rewrite the nonlinear boundary problem as a fixed point one involving two operators. Then, we show that these operators satisfy the conditions of the Krasnoselskii theorem. An example is given to illustrate our result. | ||
| کلیدواژه‌ها | ||
| Fractional differential equation؛ Krasnoselskii fixed point theorem؛ nonseparated boundary conditions | ||
| مراجع | ||
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