Residual Power Series Method for ψ-Caputo Fractional Differential Equations
Abstract
In this paper, linear ψ-Caputo fractional differential equations with constant coefficients and initial conditions are considered. The classic residual power series method is adapted to ψ-Caputo fractional differential equations. An approximate analytical solution of the problem is written as a power series in terms of the function ψ with unknown coefficients. The method can also be applied to the ψ-Caputo fractional relaxation-oscillation equations. Numerical examples substantiate both the scope of applicability and the level of accuracy achieved by the method.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Nonlinear Differential Equations Analysis
Advanced Control Systems Design
Publication details
- Journal / source
- journal of new results in science
- Publisher
- Gaziosmanpasa University
- Volume
- 15
- Issue
- 1
- Pages
- 130–142
- Publication date
- 30 April 2026
- Language
- EN