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On the Λ -Fractional Rayleigh-Ritz Approximation Method |
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PP: 19-28 |
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doi:10.18576/pfda/110102
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Author(s) |
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Konstantinos A. Lazopoulos,
Athanassios Pirentis,
Anastassios K. Lazopoulos,
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Abstract |
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| Approximation methods are quite important in finding solutions of various differential equations. Adapting these methods to the context of Λ -fractional calculus requires specific adjustments, which are discussed in the present study. In particular, this study introduces relevant modifications to the Rayleigh-Rich approximation method. The implementation is performed on the bending deformation of an elastic beam, elucidating the necessary modifications made to the Rayleigh-Ritz method in order to accomodate it within the framework of the Λ-fractional analysis. These modifications, along with the Λ-fractional Rayleigh-Ritz method itself, are instrumental for establishing the Λ -fractional Finite Element method.
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