On the study of nonlinear sequential fractional integro-differential equation with nonseparated boundary conditions
نویسندگان
1 Department of Applied Mathematics, Faculty of Applied Sciences Ait Melloul. University Ibn Zohr, Morocco
2 Laboratory of Applied Mathematics and Scientific Calculus, Sultan Moulay Sliman University, Morocco
doi
10.22075/ijnaa.2021.25586.3062چکیده
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.
