Examples of Expansions in Fractional Powers, and Applications

Diego Caratelli; Pierpaolo Natalini; Paolo Emilio Ricci

doi:10.3390/sym15091702

Examples of Expansions in Fractional Powers, and Applications

Diego Caratelli, Pierpaolo Natalini, Paolo Emilio Ricci (Corresponding author)

Electromagnetics

Research output: Contribution to journal › Article › Academic › peer-review

4 Citations (Scopus)

36 Downloads (Pure)

Abstract

We approximate the solution of a generalized form of the Bagley–Torvik equation using Taylor’s expansions in fractional powers. Then, we study the fractional Laguerre-type logistic equation by considering the fractional exponential function and its Laguerre-type form. To verify our findings, we conduct numerical tests using the computer algebra program Mathematica.

Original language	English
Article number	1702
Number of pages	11
Journal	Symmetry
Volume	15
Issue number	9
DOIs	https://doi.org/10.3390/sym15091702
Publication status	Published - Sept 2023

Keywords

Bagley–Torvik equation
fractional differential equations
fractional Laguerre-type logistic equation
generalized exponential function
Mittag–Leffler function

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AU - Natalini, Pierpaolo

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AB - We approximate the solution of a generalized form of the Bagley–Torvik equation using Taylor’s expansions in fractional powers. Then, we study the fractional Laguerre-type logistic equation by considering the fractional exponential function and its Laguerre-type form. To verify our findings, we conduct numerical tests using the computer algebra program Mathematica.

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KW - fractional differential equations

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KW - generalized exponential function

KW - Mittag–Leffler function

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Examples of Expansions in Fractional Powers, and Applications

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Keywords

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