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On the Λ-fractional continuum mechanics fields.

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Title: On the Λ-fractional continuum mechanics fields.
Authors: Lazopoulos, K. A.1 (AUTHOR) kolazop@mail.ntua.gr, Lazopoulos, A. K.2 (AUTHOR)
Source: Continuum Mechanics & Thermodynamics. May2024, Vol. 36 Issue 3, p561-570. 10p.
Subjects: Continuum mechanics, Mathematical continuum, Linear momentum, Variational principles, Energy conservation
Abstract: After defining the fractional Λ -derivative, having all the prerequisites for corresponding to a differential, the fractional Λ -strain has already been established. Furthermore, only globally variational principles are allowed in the context of fractional analysis. Hence, balance laws, yielding the various field equations in Λ -fractional continuum mechanics, are derived, allowing corners in their fields. The basic balance laws of mass, linear and rotational momentum, and energy conservation with jump conditions are derived in the context of Λ -fractional analysis. [ABSTRACT FROM AUTHOR]
Copyright of Continuum Mechanics & Thermodynamics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: After defining the fractional Λ -derivative, having all the prerequisites for corresponding to a differential, the fractional Λ -strain has already been established. Furthermore, only globally variational principles are allowed in the context of fractional analysis. Hence, balance laws, yielding the various field equations in Λ -fractional continuum mechanics, are derived, allowing corners in their fields. The basic balance laws of mass, linear and rotational momentum, and energy conservation with jump conditions are derived in the context of Λ -fractional analysis. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Continuum Mechanics & Thermodynamics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s00161-024-01282-8
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        Text: English
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      – SubjectFull: Mathematical continuum
        Type: general
      – SubjectFull: Linear momentum
        Type: general
      – SubjectFull: Variational principles
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      – SubjectFull: Energy conservation
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              Text: May2024
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