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COMPARISON OF FLY ASH, PVA FIBER, MGO AND SHRINKAGE-REDUCING ADMIXTURE ON THE FROST RESISTANCE OF FACE SLAB CONCRETE VIA PORE STRUCTURAL AND FRACTAL ANALYSIS

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (2)

Face slab concrete suffers from serious frost damage in the cold regions in China. How to improve the frost resistance of face slab concrete in cold r......

ON THE LARGEST PARTIAL QUOTIENTS IN CONTINUED FRACTION EXPANSIONS

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (4)

Let [a(1) (x), a(2) (x), ..., a(n) (x), ...] be the continued fraction expansion of an irrational x is an element of (0,1). For any n >= 1, write T......

INFINITE ORTHOGONAL EXPONENTIALS OF A CLASS OF SELF-AFFINE MEASURES

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (3)

In this paper, we study infinite families of orthogonal exponentials of some self-affine measures. The digit set D = {(0 0), (1 0), (0 2)} and any 2 x......

FRACTIONAL MAGNETOHYDRODYNAMIC FLOW OF A SECOND GRADE FLUID IN A POROUS MEDIUM WITH VARIABLE WALL VELOCITY AND NEWTONIAN HEATING

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (3)

In this study, two different fractional models are developed for a second grade fluid coupled with the energy equation. These two fractional models ar......

FRACTAL CHARACTERIZATION AND MECHANICAL BEHAVIOR OF PILE-SOIL INTERFACE SUBJECTED TO SULFURIC ACID

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (2)

This study aimed to investigate the different performance of pile-soil interfaces when the concrete was subjected to sulfuric acid corrosion. A series......

OPIAL-TYPE INEQUALITY ABOUT CONFORMABLE FRACTIONAL INTEGRALS AND THE APPLICATION

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (3)

In this paper, we define partial conformable fractional derivative (PCFD) which is based on the fractional derivative definition proposed by Abdeljawa......

THE RELATIVE CONVERGENCE SPEED FOR ENGEL EXPANSIONS AND HAUSDORFF DIMENSION

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (04)

In this paper, we investigate how many real numbers can be well approximated by their convergents in the Engel expansions. Furthermore, the relative g......

NODE-WEIGHTED AVERAGE DISTANCES OF NETWORKS MODELED ON THREE-DIMENSIONAL VICSEK FRACTAL

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (04)

We investigate a class of self-similar networks modeled on the three-dimensional Vicsek fractal, and obtain the asymptotic formula of node-weighted av......

TIME-VARYING MULTIFRACTAL ANALYSIS OF CRACK PROPAGATION AND INTERNAL FRACTURE PROCESS OF COAL UNDER DYNAMIC LOADING

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (04)

Coal failure behavior under dynamic loading is significant for dealing with the failure issues encountered in underground coal mines. In this study, t......

ECG CLASSIFICATION COMPARISON BETWEEN MF-DFA AND MF-DXA

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (2)

In this paper, automatic electrocardiogram (ECG) recognition and classification algorithms based on multifractal detrended fluctuation analysis (MF-DF......

A NOVEL APPROACH FOR FRACTAL BURGERS-BBM EQUATION AND ITS VARIATIONAL PRINCIPLE

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (03)

In this paper, the Burgers-Benjamin-Bona-Mahony (Burgers-BBM) equation is described according to the use of the fractal derivative. The variational pr......

ASSOUAD DIMENSIONS OF MORAN SETS WITH ZERO INFIMUM CONTRACTION

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (04)

We obtain the Assouad dimensions of two Moran classes with zero infimum contraction under suitable conditions.

FRACTIONAL ORDER THERMOELASTICITY FOR PIEZOELECTRIC MATERIALS

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (04)

This work is aimed at establishing a unified fractional thermoelastic model for piezoelectric structures, and shedding light on the influence of diffe......

FINITE-TIME STABILITY IN MEAN FOR NABLA UNCERTAIN FRACTIONAL ORDER LINEAR DIFFERENCE SYSTEMS

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (04)

In this paper, the finite-time stability in mean for the uncertain fractional order linear time-invariant discrete systems is investigated. First, the......

VARIATIONAL PRINCIPLES FOR FRACTAL WHITHAM-BROER-KAUP EQUATIONS IN SHALLOW WATER

期刊: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021; 29 (2)

In this paper, we mainly consider the Whitham-Broer-Kaup equations with unsmooth boundaries, and a new fractal derivative is adopted to construct the ......

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