Existence and Stability of Solutions for Linear and Nonlinear Damping of q-Fractional Duffing–Rayleigh Problem
نویسندگان
چکیده
In this current paper, using q-fractional calculus, we study the Duffing–Rayleigh type problem with sequential fractional q-derivative of Caputo type. We investigate existence and uniqueness solutions by applying some classical fixed point theorems. Also define Ulam–Hyers Ulam–Hyers–Rassias stabilities for our problem. An example is presented to illustrate main results.
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ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2023
ISSN: ['1660-5454', '1660-5446']
DOI: https://doi.org/10.1007/s00009-023-02355-9