FRACTIONAL CALCULUS OF THERMOELASTIC p-WAVES REFLECTION UNDER INFLUENCE OF GRAVITY AND ELECTROMAGNETIC FIELDS

被引：15

作者：

Alotaibi, Hammad ^{[1
]}

Abo-Dahab, S. M. ^{[1
,2
]}

Abdlrahim, H. R. ^{[3
]}

Kilany, A. A. ^{[4
]}

机构：

[1] Taif Univ, Dept Math, Fac Sci, At Taif 888, Saudi Arabia

[2] South Valley Univ, Dept Math, Fac Sci, Qena, Egypt

[3] Minist Higher Educ, Sohag Ind Tech Inst, Medium Valley Technol Coll, Cairo, Egypt

[4] Sohag Univ, Dept Math, Fac Sci, Sohag, Egypt

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2020年 / 28卷 / 08期

关键词：

Reflection; Fractional Derivatives; Electromagnetic; Gravity; p-Waves; GENERALIZED MAGNETO-THERMOELASTICITY; ORDER THEORY; MAGNETOTHERMOELASTIC RESPONSE; HEAT-SOURCES; PLANE-WAVES; HALF-SPACE; DISSIPATION; VOIDS;

D O I：

10.1142/S0218348X2040037X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discussed the longitudinal harmonic waves reflection from a solid elastic half-space with electromagnetic and gravity fields influence, considering a fractional order via fractional exponential function method. The clarifications are required for the reflection amplitudes ratios (i.e. the ratios between the reflected waves amplitude and the incident waves amplitude). The results obtained were calculated analytically and displayed by graphs to show the physical meaning of the phenomenon. A comparison has been made between the fractional and integer derivatives. The results of this paper demonstrate the rigor and effectiveness of the considered fractional technique.

引用

页数：17

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