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

Institutions

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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Solving the sequential and non- sequential Caputo fractional-order differential equations using the Laplace transform method

Saeed Akhavan, Mohammadreza Tamamgar
Fractional Differential Equations Solutions
article

Solving the sequential and non- sequential Caputo fractional-order differential equations using the Laplace transform method

Saeed Akhavan, Mohammadreza Tamamgar
article en

Abstract

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.

Islamic Azad University of Khomeynishahr (IR)
Openalex Percentile: Top 34%
Fractional Differential Equations Solutions
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.