عنوان	Efficient results on fractional Langevin-Sturm-Liouville problem via generalized Caputo-Atangana-Baleanu derivatives
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Fractional Atangana-Baleanu operator; generalized Sturm-Liouville problem; Langevin problem; Ulam-Hyers stability
چکیده	In this paper, we investigate the generalized Langevin-Sturm-Liouville differential problems involving Caputo-Atangana-Baleanu fractional derivatives of higher orders with respect to another positive, increasing function denoted by $\rho$. The fixed point theorems in the framework of Kransnoselskii and Banach are utilized to discuss the existence and uniqueness of the results. In addition, the stability criteria of Ulam-Hyers and generalize Ulam-Hyers are investigated by non-linear analysis besides fractional calculus. Finally, illustrative examples are reinforced by tables and graphics to describe the main achievements.
پژوهشگران	صبری ثابت (نفر اول)، عبدالطیف بوتیارا (نفر دوم)، محمداسماعیل سامعی (نفر سوم)، عماد کدیم (نفر چهارم)، میگوئل ویوازکورتز (نفر پنجم)