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A new fractional derivative without singular kernel: application to the modelling of the steady heat flow
arxiv:1601.01623v1 [math.GM] 30 Dec 2015 Page 1 arxiv:1601.01623v1 [math.GM] 30 Dec
2015 A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL: APPLICATION TO …
2015 A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL: APPLICATION TO …
[PDF][PDF] Fractional order generalized thermoelasticity theories: A review
SS Sheoran, P Kundu - Int. J. Adv. Appl. Math. Mech, 2016 - ijaamm.com
In the present article, a comprehensive review of relevant literature is presented to highlight
the role of fractional calculus in the field of thermoelasticity. This review is devoted to the …
the role of fractional calculus in the field of thermoelasticity. This review is devoted to the …
Fractional order model of micropolar thermoelasticity and 2D half-space problem
In this manuscript, the generalized micropolar theory of thermoelasticity is modified using
fractional calculus. The revised equations are used to solve a problem for a half-space …
fractional calculus. The revised equations are used to solve a problem for a half-space …
Fractional ordered thermoelastic stress analysis of a thin circular plate under axi-symmetric heat supply
The main objective of the current study is to investigate the fractional ordered thermoelastic
stress analysis of a thin circular plate under axi-symmetric heat supply. Initially, the plate is …
stress analysis of a thin circular plate under axi-symmetric heat supply. Initially, the plate is …
The effect of fractional thermoelasticity on two-dimensional problems in spherical regions under axisymmetric distributions
Two-dimensional axisymmetric problems are considered within the context of the fractional
order thermoelasticity theory. The general solution is obtained in the Laplace transform …
order thermoelasticity theory. The general solution is obtained in the Laplace transform …
Dynamic response of bilayered saturated porous media based on fractional thermoelastic theory
M Wen, K Wang, W Wu, Y Zhang, H **ong - Journal of Zhejiang University …, 2021 - Springer
Considering the thermal contact resistance and elastic wave impedance at the interface, in
this paper we theoretically investigate the thermo-hydro-mechanical (THM) coupling …
this paper we theoretically investigate the thermo-hydro-mechanical (THM) coupling …
New fractional order model of thermoporoelastic theory for a porous infinitely long cylinder saturated with fluid
HH Sherief, EM Hussein - Waves in Random and Complex Media, 2024 - Taylor & Francis
In this manuscript, the generalized thermoporoelasticity theory is modified by using fractional
derivatives. The revised equation is used to study mathematical model for two-dimensional …
derivatives. The revised equation is used to study mathematical model for two-dimensional …
Fractional order thermoelastic wave assessment in a two-dimension medium with voids
AD Hobiny, IA Abbas - Geomechanics and Engineering, 2020 - koreascience.kr
In this article, the generalized thermoelastic theory with fractional derivative is presented to
estimate the variation of temperature, the components of stress, the components of …
estimate the variation of temperature, the components of stress, the components of …
[PDF][PDF] Two-dimensional generalized magneto-thermo-viscoelasticity problem for a spherical cavity with one relaxation time using fractional derivative
The present paper is aimed to studying the two-dimensional generalised magneto-thermo-
viscoelasticity problem for a spherical cavity with one relaxation time using fractional …
viscoelasticity problem for a spherical cavity with one relaxation time using fractional …
[PDF][PDF] A new fractional derivative without singular kernel
∫ ∫ Page 1 Yang, X.-J., et al.: A New Fractional Derivative without Singular … THERMAL
SCIENCE, Year 2016, Vol. 20, No. 2, pp. 753-756 753 A NEW FRACTIONAL DERIVATIVE …
SCIENCE, Year 2016, Vol. 20, No. 2, pp. 753-756 753 A NEW FRACTIONAL DERIVATIVE …