عنوان	Application of some new contractions for existence and uniqueness of differential equations involving Caputo–Fabrizio derivative
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Caputo–Fabrizio fractional derivative; F-metric space; α--contraction mapping; Fixed point
چکیده	In this paper we study fractional initial value problems with Caputo–Fabrizio derivative which involves nonsingular kernel. First we apply α--contraction and α-type F-contraction mappings to study the existence and uniqueness of solutions for such problems. Finally, we use some contraction mappings in complete F-metric spaces for this purpose.
پژوهشگران	حجت افشاری (نفر اول)، سید حمیدرضا مراثی (نفر سوم)، حسین خسین پور (نفر دوم)