By considering the Caputo fractional derivative and Riemann-Liouville integral, in the
present work, we are concerned with a nonlinear sequential fractional differential system of …

A periodic solution of the time-fractional nonlinear oscillator is derived based on the
Riemann–Liouville definition of the fractional derivative. In this approach, the particular …

In this current manuscript, we discuss the existence, uniqueness and Mittag-Leffler-Ulam
stability of solutions for fractional Duffing problem involving two Caputo and Riemann …

In this work, we investigate a new sequential coupled differential system of Duffing type. The
considered system involves Caputo Hadamard derivatives. Based on both Banach …

In this paper, by applying fractional quantum calculus, we study a nonlinear Duffing-type
equation with three sequential fractional q-derivatives. We prove the existence and …

The article investigates a mathematical model of the Duffing oscillator with a variable
fractional order derivative of the Riemann–Liouville type. The study of the model is carried …

In this article, based on the operational matrix of fractional order integration, we introduce a
method for the numerical solution of fractional strongly nonlinear Duffing oscillators with …

In this paper, we study a new nonlinear sequential fractional differential problem of Duffing
oscillator type. The considered problem involves two fractional order operators: Riemann …

The Newell-Whitehead-Segel (NWS) equation is one of the most significant amplitude
equations with a wider practical applications in engineering and applied physics. It …

The article considers an implicit finite-difference scheme for the Duffing equation with a
derivative of a fractional variable order of the Riemann–Liouville type. The issues of stability …