مشخصات پژوهش

عنوان	On a coupled system of pantograph problem with three sequential fractional $q$-derivatives
نوع پژوهش	مقاله ارائه شده کنفرانسی
کلیدواژه‌ها	arbitrary fractional order, Caputo $q$--derivation, multi-step methods, nonlinear analysis, numerical direction
چکیده	This paper aims to establish conditions for the existence, uniqueness and Ulam-Hyers stability of solutions for a coupled system of pantograph problem with three sequential fractional derivatives. Two results on the uniqueness and existence of solutions are proved to utilize the Leray-Schauder and Banach fixed point theorems and positive contraction-type inequalities. Also, the stability in the sense of Ulam-Hyers and Ulam-Hyers-Rassias are studied. In organize to clarify our comes almost, some illustrative cases are in addition displayed.
پژوهشگران	سمیه نظری (نفر اول)، محمداسماعیل سامعی (نفر دوم)