On the study of nonlinear sequential fractional integro-differential equation with nonseparated boundary conditions

	On the study of nonlinear sequential fractional integro-differential equation with nonseparated boundary conditions
International Journal of Nonlinear Analysis and Applications
مقاله 14، دوره 16، شماره 12، اسفند 2025، صفحه 177-186 اصل مقاله (375 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
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
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