Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 13 2 2022 07 01 An iterative algorithm for nonlinear fractional-order oscillators with modified Riemann-Liouville derivative 499 513 6474 10.22075/ijnaa.2021.24232.2700 EN Akuro Big-Alabo Applied Mechanics and Design (AMD) Research Group, Department of Mechanical Engineering, Faculty of Engineering, University of Port Harcourt, Port Harcourt, Nigeria Chinwuba Victor Ossia Applied Mechanics and Design (AMD) Research Group, Department of Mechanical Engineering, Faculty of Engineering, University of Port Harcourt, Port Harcourt, Nigeria Journal Article 2021 07 09 This paper presents an iterative analytic algorithm for the approximate solution of nonlinear fractional-order oscillators. The He fractional transform was applied to convert the fractional-order model, defined by a modified Riemann-Liouville derivative, to a model in continuous spacetime. Then, the approximate solution of the continuous model was applied to obtain an approximate solution for the fractional-order oscillator. The solution was obtained using the continuous piecewise linearization method (CPLM), which is a simple, accurate and efficient analytic algorithm. The applicability of the CPLM was demonstrated using representative examples in science and engineering and the maximum relative error of the approximate solution was found to be less than 0.2 per cent. This paper provides an analytical tool that can be applied in the study of fractional-order oscillations arising in various physical systems and technological processes. https://ijnaa.semnan.ac.ir/article_6474_1fcd8b1dd9c02480426c139963267254.pdf