مشخصات پژوهش

عنوان	On the existence of solutions for nonlocal sequential boundary fractional differential equations via $\psi$-Riemann-Liouville derivative
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Sequential $\psi$-Riemann-Liouville fractional differential equation; nonlinear differential systems; existence and uniqueness; Lyapunov-type inequality;Banach's contraction principle
چکیده	The purpose of this paper is to study a generalized Riemann-Liouville fractional differential equation and system with nonlocal boundary conditions. Firstly, some properties of the Green function are presented, and then establish Lyapunov-type inequalities for a sequential $\psi$-Riemann-Liouville fractional boundary value problem. Also, the existence and uniqueness of solutions are proved by using Banach and Schauder fixed point theorems. Furthermore, the existence and uniqueness of solutions to a sequential nonlinear differential system is established by means of Schauder's and Perov's fixed point theorems. Examples are given to validate the theoretical results.
پژوهشگران	فائوزی هادوچی (نفر اول)، محمداسماعیل سامعی (نفر دوم)