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Open Access Research Article

The fractional ZMA-transform for solving first and second order linear fractional differential equations

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pp. 1399–1405Vol. 29Issue 5-BMay 2026DOI: 10.47974/JIM-2525XML
Received:
01 Nov 2025
Published Online:
27 Jun 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2525
Pages:
1399–1405

Abstract

For the work on paper, prepare new techniques by constructing a new definition called the fractional ZMA-transform (FZMAT). These techniques are used to make a solution to a fractional differential equation (FDE) easier by employing fractional analysis through the Riemann-Liouville (R-L) derivative. Also proposed attractive details and studied the relationship between the ZMA-transform (ZMAT) and the Laplace transform (LT). Moreover, present some applications for solving first and second order (1st and 2nd) linear fractional differential Equations (LFDEs). 

Keywords

Subject Classifications

Primary 26A33Secondary 44A10

References

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