Fractional Derivatives and Projectile Motion
Projectile motion is studied using fractional calculus. Specifically, a newly defined fractional derivative (the Leibniz L-derivative) and its successor (Λ-fractional derivative) are used to describe the motion of the projectile. Experimental data were analyzed in this study, and conclusions were ma...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/10/4/297 |
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| author | Anastasios K. Lazopoulos Dimitrios Karaoulanis |
| author_facet | Anastasios K. Lazopoulos Dimitrios Karaoulanis |
| author_sort | Anastasios K. Lazopoulos |
| collection | DOAJ |
| description | Projectile motion is studied using fractional calculus. Specifically, a newly defined fractional derivative (the Leibniz L-derivative) and its successor (Λ-fractional derivative) are used to describe the motion of the projectile. Experimental data were analyzed in this study, and conclusions were made. The results of well-established fractional derivatives were also compared with those of L-derivative and Λ-fractional derivative, showing the many advantages of these new derivatives. |
| first_indexed | 2024-03-10T04:34:51Z |
| format | Article |
| id | doaj.art-8c179ce2826f4a278a2081b84516bd4b |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T04:34:51Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-8c179ce2826f4a278a2081b84516bd4b2023-11-23T03:49:42ZengMDPI AGAxioms2075-16802021-11-0110429710.3390/axioms10040297Fractional Derivatives and Projectile MotionAnastasios K. Lazopoulos0Dimitrios Karaoulanis1Applied Mechanics Laboratory, Department of Military Sciences, Sector of Mathematics and Engineering Applications, Evelpidon Hellenic Army Academy, 16673 Vari, GreeceExternal Scientific Collaborator, Korai 21, 15233 Athens, GreeceProjectile motion is studied using fractional calculus. Specifically, a newly defined fractional derivative (the Leibniz L-derivative) and its successor (Λ-fractional derivative) are used to describe the motion of the projectile. Experimental data were analyzed in this study, and conclusions were made. The results of well-established fractional derivatives were also compared with those of L-derivative and Λ-fractional derivative, showing the many advantages of these new derivatives.https://www.mdpi.com/2075-1680/10/4/297projectile motionfractional calculusL-fractional derivativeΛ-fractional derivative |
| spellingShingle | Anastasios K. Lazopoulos Dimitrios Karaoulanis Fractional Derivatives and Projectile Motion Axioms projectile motion fractional calculus L-fractional derivative Λ-fractional derivative |
| title | Fractional Derivatives and Projectile Motion |
| title_full | Fractional Derivatives and Projectile Motion |
| title_fullStr | Fractional Derivatives and Projectile Motion |
| title_full_unstemmed | Fractional Derivatives and Projectile Motion |
| title_short | Fractional Derivatives and Projectile Motion |
| title_sort | fractional derivatives and projectile motion |
| topic | projectile motion fractional calculus L-fractional derivative Λ-fractional derivative |
| url | https://www.mdpi.com/2075-1680/10/4/297 |
| work_keys_str_mv | AT anastasiosklazopoulos fractionalderivativesandprojectilemotion AT dimitrioskaraoulanis fractionalderivativesandprojectilemotion |