2024
DOI: 10.11591/ijeecs.v33.i2.pp879-887
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A new approximate solution of the fractional trigonometric functions of commensurate order to a regular linear system

Djamel Boucherma,
Daoud Idiou,
Toufik Achour
et al.

Abstract: This paper introduces a novel approach to the approximate solution of linear differential equations associated with principal fractional trigonometry and the R function. This method proposes a solution that is expressed by adding appropriate fractional linear fundamental functions. Laplace transforms of these functions are irrational. Therefore, we rounded these functions to obtain rational functions in the form of damped cosine, damped sine, cosine, sine and exponential functions. This transformation was achi… Show more

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