ON THE FRACTAL VARIATIONAL PRINCIPLE FOR THE TELEGRAPH EQUATION

被引:48
作者
He, Ji-Huan [1 ,2 ,3 ]
机构
[1] Xian Univ Architecture & Technol, Sch Sci, Xian, Peoples R China
[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Henan, Peoples R China
[3] Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, 199 Ren Ai Rd, Suzhou, Peoples R China
关键词
Semi-Inverse Method; Variational Theory; Euler-Lagrange Equation; Damping; Two-Scale Fractal Calculus; MODEL; DIMENSION; CALCULUS; FLOW;
D O I
10.1142/S0218348X21500225
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper gives a short remark on variational principle for the fractal Telegraph equation [K. L. Wang, S. W. Yao, Y. P. Liu et al., Fractals 28(4) (2020) 2050058], the emphasis is put on temporal and spatial fractal derivatives and the derivation process of the fractal variational principle.
引用
收藏
页数:5
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共 53 条
[1]   Exact analytic solution of the simplified telegraph model of propagation and dissipation of excitation fronts [J].
Abdusalam, HA .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2004, 43 (04) :1161-1167
[2]   ON TWO-SCALE DIMENSION AND ITS APPLICATIONS [J].
Aln, Qura Tul ;
He, Ji-Huan .
THERMAL SCIENCE, 2019, 23 (03) :1707-1712
[3]   Quantization of fractal systems: One-particle excitation states [J].
Altaiski, MV ;
Sidharth, BG .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1995, 34 (12) :2343-2351
[4]  
[Anonymous], 1997, J STAT PHYS
[5]   Fractals and fractal scaling in fracture mechanics [J].
Borodich, FM .
INTERNATIONAL JOURNAL OF FRACTURE, 1999, 95 (1-4) :239-259
[6]   FRACTAL DIMENSION AT THE PHASE-TRANSITION OF INHOMOGENEOUS CELLULAR AUTOMATA [J].
DASILVA, LR .
JOURNAL OF STATISTICAL PHYSICS, 1988, 53 (3-4) :985-990
[7]   The effect of contour angle on fractal dimension measurements for brittle materials [J].
Della Bona, A ;
Hill, TJ ;
Mecholsky, JJ .
JOURNAL OF MATERIALS SCIENCE, 2001, 36 (11) :2645-2650
[8]   Dirac Equation with Position-Dependent Mass and Coulomb-like Field in Hausdorff Dimension [J].
El-Nabulsi, Rami Ahmad .
FEW-BODY SYSTEMS, 2020, 61 (01)
[9]   Geostrophic Flow and Wind-Driven Ocean Currents Depending on the Spatial Dimensionality of the Medium [J].
El-Nabulsi, Rami Ahmad .
PURE AND APPLIED GEOPHYSICS, 2019, 176 (06) :2739-2750
[10]   Emergence of quasiperiodic quantum wave functions in Hausdorff dimensional crystals and improved intrinsic Carrier concentrations [J].
El-Nabulsi, Rami Ahmad .
JOURNAL OF PHYSICS AND CHEMISTRY OF SOLIDS, 2019, 127 :224-230