Zobrazeno 1 - 10
of 47
pro vyhledávání: '"λ-fractional derivative"'
Autor:
Lazopoulos, K.A. a, ⁎, Lazopoulos, A.K. b
Publikováno v:
In Mechanics Research Communications March 2024 136
Autor:
K.A. Lazopoulos, A.K. Lazopoulos
Publikováno v:
AIMS Materials Science, Vol 10, Iss 4, Pp 604-617 (2023)
Since the global stability criteria for Λ-fractional mechanics have been established, the Λ-fractional beam bending problem is discussed within that context. The co-existence of the phase phenomenon is revealed, allowing for elastic curves with non
Externí odkaz:
https://doaj.org/article/e2b5d0c302e44ab1b4c50032c65b184f
Publikováno v:
AIMS Materials Science, Vol 9, Iss 5, Pp 684-701 (2022)
Λ-Fractional Mechanics has already been introduced since it combines non-locality with mathematical analysis. It is well established, that conventional mechanics is not a proper theory for describing various phenomena in micro or nanomechanics. Furt
Externí odkaz:
https://doaj.org/article/19763181e637426a8d40c20cfee9162c
Publikováno v:
In Forces in Mechanics May 2022 7
Publikováno v:
Mathematics, Vol 11, Iss 19, p 4183 (2023)
Wave propagation in solids is discussed, based upon inherently non-local Λ-fractional analysis. Following the governing equations of Λ-fractional continuum mechanics, the Λ-fractional wave equations are derived. Since the variational procedures ar
Externí odkaz:
https://doaj.org/article/c2840f8742a04a5f902f74de4edb0911
Publikováno v:
Forces in Mechanics, Vol 7, Iss , Pp 100075- (2022)
Zener's viscoelastic model is studied with the help of the non-local accurate Λ-fractional mathematical analysis. The model has been applied to the general Λ-fractional visco-elastic beam bending.
Externí odkaz:
https://doaj.org/article/4f105c54d21446ebad7ca1c1510809d6
Autor:
Karaoulanis, D. a, Lazopoulos, A.K. b, ⁎
Publikováno v:
In Journal of King Saud University - Science December 2020 32(8):3301-3306
Autor:
Lazopoulos, K.A. a, *, Lazopoulos, A.K. b
Publikováno v:
In Theoretical and Applied Mechanics Letters April 2020 10(4):270-275
Autor:
D. Karaoulanis, A.K. Lazopoulos
Publikováno v:
Journal of King Saud University: Science, Vol 32, Iss 8, Pp 3301-3306 (2020)
*Λ-Fractional Derivative (Λ-FD) is the only non-local Derivative satisfying the demands of Differential Topology. Hence, it is most suitable to investigate the stability of simple SISO and PID control systems. Their behavior is compared in real-tim
Externí odkaz:
https://doaj.org/article/9a698892ed0b4aca8fa6745f8a647ec3
Publikováno v:
Journal of the Mechanical Behavior of Materials, Vol 29, Iss 1, Pp 9-18 (2020)
Fractional derivatives have non-local character, although they are not mathematical derivatives, according to differential topology. New fractional derivatives satisfying the requirements of differential topology are proposed, that have non-local cha
Externí odkaz:
https://doaj.org/article/1544726fcbd44e78839d48696eecbdde