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.
Keywords
The ψ-Caputo fractional derivative fractional differential equations residual power series method relaxationoscillation equations
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Details
| Primary Language | English |
|---|---|
| Subjects | Approximation Theory and Asymptotic Methods |
| Journal Section | Research Article |
| Authors | |
| Submission Date | January 13, 2026 |
| Acceptance Date | April 7, 2026 |
| Publication Date | April 30, 2026 |
| IZ | https://izlik.org/JA78RN38HL |
| Published in Issue | Year 2026 Volume: 15 Issue: 1 |