A new fractional derivative without singular kernel: application to the modelling of the steady heat flow

XJ Yang, HM Srivastava, JA Machado - arxiv preprint arxiv:1601.01623, 2015 - arxiv.org
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 …

[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 …

Fractional order model of micropolar thermoelasticity and 2D half-space problem

HH Sherief, EM Hussein - Acta Mechanica, 2023 - Springer
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 ordered thermoelastic stress analysis of a thin circular plate under axi-symmetric heat supply

SG Khavale, KR Gaikwad - International Journal of Nonlinear …, 2023 - ijnaa.semnan.ac.ir
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 …

The effect of fractional thermoelasticity on two-dimensional problems in spherical regions under axisymmetric distributions

HH Sherief, EM Hussein - Journal of Thermal Stresses, 2020 - Taylor & Francis
Two-dimensional axisymmetric problems are considered within the context of the fractional
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 …

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 …

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 …

[PDF][PDF] Two-dimensional generalized magneto-thermo-viscoelasticity problem for a spherical cavity with one relaxation time using fractional derivative

S Khavale, K Gaikwad - International Journal of Thermodynamics, 2022 - dergipark.org.tr
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 …

[PDF][PDF] A new fractional derivative without singular kernel

XJ **ao-Jun, HM Srivastava, JT Machado - Therm. Sci, 2016 - doiserbia.nb.rs
∫ ∫ 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 …