OOIR: Observatory of International Research

Papers

(The H4-Index of Fractals-Complex Geometry Patterns and Scaling in Nature and Society is 37. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-07-01 to 2024-07-01.)

Article	Citations
NUMERICAL SOLUTION OF TRAVELING WAVES IN CHEMICAL KINETICS: TIME-FRACTIONAL FISHERS EQUATIONS	190
SOME FURTHER EXTENSIONS CONSIDERING DISCRETE PROPORTIONAL FRACTIONAL OPERATORS	174
A FRACTAL MODEL FOR CAPILLARY FLOW THROUGH A SINGLE TORTUOUS CAPILLARY WITH ROUGHENED SURFACES IN FIBROUS POROUS MEDIA	156
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	138
EFFECTS OF FINENESS AND CONTENT OF PHOSPHORUS SLAG ON CEMENT HYDRATION, PERMEABILITY, PORE STRUCTURE AND FRACTAL DIMENSION OF CONCRETE	125
FRACTAL N/MEMS: FROM PULL-IN INSTABILITY TO PULL-IN STABILITY	110
PORE STRUCTURAL AND FRACTAL ANALYSIS OF THE INFLUENCE OF FLY ASH AND SILICA FUME ON THE MECHANICAL PROPERTY AND ABRASION RESISTANCE OF CONCRETE	109
SOME RECENT DEVELOPMENTS ON DYNAMICAL ℏ-DISCRETE FRACTIONAL TYPE INEQUALITIES IN THE FRAME OF NONSINGULAR AND NONLOCAL KERNELS	94
PIECEWISE OPTIMAL FRACTIONAL REPRODUCING KERNEL SOLUTION AND CONVERGENCE ANALYSIS FOR THE ATANGANA–BALEANU–CAPUTO MODEL OF THE LIENARD’S EQUATION	91
THE REPRODUCING KERNEL ALGORITHM FOR NUMERICAL SOLUTION OF VAN DER POL DAMPING MODEL IN VIEW OF THE ATANGANA–BALEANU FRACTIONAL APPROACH	89
LOW FREQUENCY PROPERTY OF A FRACTAL VIBRATION MODEL FOR A CONCRETE BEAM	84
A TUTORIAL INTRODUCTION TO THE TWO-SCALE FRACTAL CALCULUS AND ITS APPLICATION TO THE FRACTAL ZHIBER–SHABAT OSCILLATOR	80
TWO-SCALE FRACTAL THEORY FOR THE POPULATION DYNAMICS	77
VARIATIONAL APPROACH TO FRACTAL SOLITARY WAVES	76
ON ANALYSIS OF FRACTIONAL ORDER MATHEMATICAL MODEL OF HEPATITIS B USING ATANGANA–BALEANU CAPUTO (ABC) DERIVATIVE	76
FRACTAL OSCILLATION AND ITS FREQUENCY-AMPLITUDE PROPERTY	76
NETWORK COHERENCE ANALYSIS ON A FAMILY OF NESTED WEIGHTED n-POLYGON NETWORKS	72
A MODIFIED FREQUENCY–AMPLITUDE FORMULATION FOR FRACTAL VIBRATION SYSTEMS	70
ON FRACTAL-FRACTIONAL WATERBORNE DISEASE MODEL: A STUDY ON THEORETICAL AND NUMERICAL ASPECTS OF SOLUTIONS VIA SIMULATIONS	64
PARAMETER-VARYING ARTIFICIAL POTENTIAL FIELD CONTROL OF VIRTUAL COUPLING SYSTEM WITH NONLINEAR DYNAMICS	62
INFORMATION FRACTAL DIMENSION OF MASS FUNCTION	62
FRACTIONAL MAYER NEURO-SWARM HEURISTIC SOLVER FOR MULTI-FRACTIONAL ORDER DOUBLY SINGULAR MODEL BASED ON LANE–EMDEN EQUATION	58
NEW DEVELOPMENTS IN WEIGHTED n-FOLD TYPE INEQUALITIES VIA DISCRETE GENERALIZED ℏ̂-PROPORTIONAL FRACTIONAL OPERATORS	57
THE FRACTIONAL COMPLEX TRANSFORM: A NOVEL APPROACH TO THE TIME-FRACTIONAL SCHRÖDINGER EQUATION	55
ANALYSIS OF FRACTAL–FRACTIONAL MALARIA TRANSMISSION MODEL	55

NUMERICAL SOLUTIONS OF SPACE FRACTIONAL VARIABLE-COEFFICIENT KdV–MODIFIED KdV EQUATION BY FOURIER SPECTRAL METHOD	53
INFORMATION VOLUME FRACTAL DIMENSION	48
CAPUTO TYPE FRACTIONAL OPERATOR APPLIED TO HEPATITIS B SYSTEM	47
A FRACTAL PERSPECTIVE ON FRACTURE INITIATION AND PROPAGATION OF RESERVOIR ROCKS UNDER WATER AND NITROGEN FRACTURING	45
A POWERFUL ITERATIVE APPROACH FOR QUINTIC COMPLEX GINZBURG–LANDAU EQUATION WITHIN THE FRAME OF FRACTIONAL OPERATOR	45
SYMMETRY ANALYSIS, ANALYTICAL SOLUTIONS AND CONSERVATION LAWS OF A GENERALIZED KdV–BURGERS–KURAMOTO EQUATION AND ITS FRACTIONAL VERSION	44
DYNAMICAL ANALYSIS OF A NOVEL DISCRETE FRACTIONAL SITRS MODEL FOR COVID-19	44
ANALYSES OF SOME STRUCTURAL PROPERTIES ON A CLASS OF HIERARCHICAL SCALE-FREE NETWORKS	41
NANOINDENTATION AND POROSITY FRACTAL DIMENSION OF CALCIUM CARBONATE WHISKER REINFORCED CEMENT PASTE AFTER ELEVATED TEMPERATURES (UP TO 900∘C)	41
FRACTAL PERMEABILITY MODEL FOR POWER-LAW FLUIDS IN FRACTURED POROUS MEDIA WITH ROUGH SURFACES	41
RELIABILITY INDEX AND OPTION PRICING FORMULAS OF THE FIRST-HITTING TIME MODEL BASED ON THE UNCERTAIN FRACTIONAL-ORDER DIFFERENTIAL EQUATION WITH CAPUTO TYPE	39
EXPERIMENTAL INVESTIGATION ON MULTI-FRACTAL CHARACTERISTICS OF ACOUSTIC EMISSION OF COAL SAMPLES SUBJECTED TO TRUE TRIAXIAL LOADING–UNLOADING	39
ANALYSIS OF THERMAL CONDUCTIVITY OF DAMAGED TREE-LIKE BIFURCATION NETWORK WITH FRACTAL ROUGHENED SURFACES	37
ON THE COMPLEX MIXED DARK-BRIGHT WAVE DISTRIBUTIONS TO SOME CONFORMABLE NONLINEAR INTEGRABLE MODELS	37
HOMOTOPY PERTURBATION METHOD FOR FRACTAL DUFFING OSCILLATOR WITH ARBITRARY CONDITIONS	37
COMPLEXITY-BASED CLASSIFICATION OF THE CORONAVIRUS DISEASE (COVID-19)	37
ON THE APPROXIMATE SOLUTIONS FOR A SYSTEM OF COUPLED KORTEWEG–DE VRIES EQUATIONS WITH LOCAL FRACTIONAL DERIVATIVE	37