مشخصات پژوهش

عنوان	Existence and Stability of Solutions for Linear and Nonlinear Damping of q-Fractional Duffing–Rayleigh Problem
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Fractional q-calculus, uniqueness, existence, Duffing–Rayleigh equation, Ulam–Hyers stability
چکیده	In this current paper, using q-fractional calculus, we study the Duffing–Rayleigh type problem with sequential fractional q-derivative of the Caputo type. We investigate the existence and uniqueness of solutions by applying some classical fixed point theorems. Also we define and study the Ulam–Hyers and the Ulam–Hyers–Rassias stabilities of solutions for our problem. An example is presented to illustrate the main results.
پژوهشگران	محمد هواس (نفر اول)، محمداسماعیل سامعی (نفر دوم)