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Solving a class of ordinary differential equations and fractional differential equations with conformable derivative by fractional Laplace transform
2022
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.55730/1300-0098.3316
Abstract:

In this paper, we use the fractional Laplace transform to solve a class of second-order ordinary differential equations (ODEs), as well as some conformable fractional differential equations (CFDEs), including the Laguerre conformable fractional differential equation. Specifically, we apply the transform to convert the differential equations into first-order, linear differential equations. This is done by using the fractional Laplace transform of order $\alpha+\beta$ or $\alpha+\beta+\gamma$. Also, we investigate some more results on the fractional Laplace transform, obtained by Abdeljawad.

Keywords:

2022
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.55730/1300-0098.3316
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Turkish Journal of Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 2.274
Cite : 712
2023 Impact : 0.039
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Turkish Journal of Mathematics