On Λ-Fractional Viscoelastic Models
Λ-Fractional Derivative (Λ-FD) is a new groundbreaking Fractional Derivative (FD) introduced recently in mechanics. This derivative, along with Λ-Transform (Λ-T), provides a reliable alternative to fractional differential equations’ current solving. To put it straightforwardly, Λ-Fractional Derivati...
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MDPI AG
2021-02-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/10/1/22 |
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doaj-4cf5399d27924a95947fdb3fc3f94fda2021-02-21T00:01:43ZengMDPI AGAxioms2075-16802021-02-0110222210.3390/axioms10010022On Λ-Fractional Viscoelastic ModelsAnastassios K. Lazopoulos0Dimitrios Karaoulanis1Mathematical Sciences Department, Hellenic Army Academy, 16673 Vari, GreeceΝΤUA External Science Collaborator, Korai 21, Chalandri, 15233 Athens, GreeceΛ-Fractional Derivative (Λ-FD) is a new groundbreaking Fractional Derivative (FD) introduced recently in mechanics. This derivative, along with Λ-Transform (Λ-T), provides a reliable alternative to fractional differential equations’ current solving. To put it straightforwardly, Λ-Fractional Derivative might be the only authentic non-local derivative that exists. In the present article, Λ-Fractional Derivative is used to describe the phenomenon of viscoelasticity, while the whole methodology is demonstrated meticulously. The fractional viscoelastic Zener model is studied, for relaxation as well as for creep. Interesting results are extracted and compared to other methodologies showing the value of the pre-mentioned method.https://www.mdpi.com/2075-1680/10/1/22Λ-Fractional Derivativedual Λ-Spacenon-local derivativedifferential topologyviscoelasticityZener model |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Anastassios K. Lazopoulos Dimitrios Karaoulanis |
| spellingShingle |
Anastassios K. Lazopoulos Dimitrios Karaoulanis On Λ-Fractional Viscoelastic Models Axioms Λ-Fractional Derivative dual Λ-Space non-local derivative differential topology viscoelasticity Zener model |
| author_facet |
Anastassios K. Lazopoulos Dimitrios Karaoulanis |
| author_sort |
Anastassios K. Lazopoulos |
| title |
On Λ-Fractional Viscoelastic Models |
| title_short |
On Λ-Fractional Viscoelastic Models |
| title_full |
On Λ-Fractional Viscoelastic Models |
| title_fullStr |
On Λ-Fractional Viscoelastic Models |
| title_full_unstemmed |
On Λ-Fractional Viscoelastic Models |
| title_sort |
on λ-fractional viscoelastic models |
| publisher |
MDPI AG |
| series |
Axioms |
| issn |
2075-1680 |
| publishDate |
2021-02-01 |
| description |
Λ-Fractional Derivative (Λ-FD) is a new groundbreaking Fractional Derivative (FD) introduced recently in mechanics. This derivative, along with Λ-Transform (Λ-T), provides a reliable alternative to fractional differential equations’ current solving. To put it straightforwardly, Λ-Fractional Derivative might be the only authentic non-local derivative that exists. In the present article, Λ-Fractional Derivative is used to describe the phenomenon of viscoelasticity, while the whole methodology is demonstrated meticulously. The fractional viscoelastic Zener model is studied, for relaxation as well as for creep. Interesting results are extracted and compared to other methodologies showing the value of the pre-mentioned method. |
| topic |
Λ-Fractional Derivative dual Λ-Space non-local derivative differential topology viscoelasticity Zener model |
| url |
https://www.mdpi.com/2075-1680/10/1/22 |
| work_keys_str_mv |
AT anastassiosklazopoulos onlfractionalviscoelasticmodels AT dimitrioskaraoulanis onlfractionalviscoelasticmodels |
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1724258962725928960 |