Solving the sequential and non- sequential Caputo fractional-order differential equations using the Laplace transform method
The Laplace transform method is nevertheless useful in spite of these drawbacks, especially when dealing with linear equations, but researchers should exercise caution while using it and interpreting the findings. In this paper, the Laplace transform approach is presented a potent tool for solving the non-sequential and Sequential Caputo fractional-order differential equations (SCFODEs) and a claim about the limitations of this method is rejected and updated. Several test cases are used to validate the approach, and the outcomes demonstrate that the Laplace transform method is a dependable and effective way to solve SCFODEs.
Authors
- Saeed Akhavan
- Mohammadreza Tamamgar
Institutions
- Islamic Azad University of Khomeynishahr (IR)
Publication Details
- Published
- 2025-04-03
- DOI
- https://doi.org/10.71939/jsme.2025.1202835
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00