SOLVING THE STANDARD TELEGRAPH EQUATION WITH A FRACTIONAL-ORDER DERIVATIVE TERM USING THE LAPLACE-ADOMIAN METHOD

In this article, we study the solution of the standard telegraph equation with a fractional derivative term by the Laplace-Adomian method. For this purpose, we establish the convergence of the Laplace-Adomian algorithm applied to the solution of the standard telegraph equation with a fractional-order derivative term, and propose the solution of some models.

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Publication Details

Journal
Far East Journal of Mathematical Sciences (FJMS)
Published
2025-07-14
DOI
https://doi.org/10.17654/0972087125025
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

SOLVING THE STANDARD TELEGRAPH EQUATION WITH A FRACTIONAL-ORDER DERIVATIVE TERM USING THE LAPLACE-ADOMIAN METHOD

MINOUNGOU Youssouf, BAGAYOGO Moussa
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Far East Journal of Mathematical Sciences (FJMS)
Fractional Differential Equations Solutions
article

SOLVING THE STANDARD TELEGRAPH EQUATION WITH A FRACTIONAL-ORDER DERIVATIVE TERM USING THE LAPLACE-ADOMIAN METHOD

MINOUNGOU Youssouf, BAGAYOGO Moussa
article en

Abstract

In this article, we study the solution of the standard telegraph equation with a fractional derivative term by the Laplace-Adomian method. For this purpose, we establish the convergence of the Laplace-Adomian algorithm applied to the solution of the standard telegraph equation with a fractional-order derivative term, and propose the solution of some models.

Far East Journal of Mathematical Sciences (FJMS)Vol. 142(3)
Openalex Percentile: Top 80%
Fractional Differential Equations Solutions
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SOLVING THE STANDARD TELEGRAPH EQUATION WITH A FRACTIONAL-ORDER DERIVATIVE TERM USING THE LAPLACE-ADOMIAN METHOD — MINOUNGOU Youssouf, BAGAYOGO Moussa · Far East Journal of Mathematical Sciences (FJMS) (2025) | TGRS Research Map | TGRS