Fractals-Complex Geometry Patterns and Scaling in Nature and Society

Papers
(The H4-Index of Fractals-Complex Geometry Patterns and Scaling in Nature and Society is 34. 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 2021-09-01 to 2025-09-01.)
ArticleCitations
STOCHASTIC OPTIMAL CONTROL ANALYSIS FOR THE COVID-19 EPIDEMIC MODEL UNDER REAL STATISTICS201
A NOVEL COMPUTATIONAL APPROACH FOR FRACTAL NONLINEAR POCHHAMMER–CHREE MODEL178
FRACTAL BOUNDARY LAYER AND ITS BASIC PROPERTIES109
SOME PROPERTIES FOR THE RIEMANN–LIOUVILLE FRACTAL CALCULUS OF CONTINUOUS FUNCTIONS107
ADVANCING DERMATOLOGIC ONCOLOGY USING PARAMETER-REFINED DEEP LEARNING-DRIVEN STRATEGY FOR ENHANCED PRECISION MEDICINE102
STUDY ON MICROSTRUCTURAL EVOLUTION OF ROCK FRACTURES UNDER MULTI-FIELD INTERACTIONS97
A REVIEW OF FRACTAL FUNCTIONS AND APPLICATIONS96
FRACTAL ANALYSIS OF STOKES FLOW IN TORTUOUS MICROCHANNELS WITH HYDRAULICALLY ROUGH SURFACES96
PHYSICS-INFORMED DEEP AI SIMULATION FOR FRACTAL INTEGRO-DIFFERENTIAL EQUATION90
CAPUTO-BASED MODEL FOR INCREASING STRAINS OF CORONAVIRUS: THEORETICAL ANALYSIS AND EXPERIMENTAL DESIGN88
ON ANALYTICAL AND NUMERICAL SIMULATIONS FOR THE ULTRA-SHORT PULSES MATHEMATICAL MODEL IN OPTICAL FIBERS82
A FRACTAL PERSPECTIVE ON FRACTURE INITIATION AND PROPAGATION OF RESERVOIR ROCKS UNDER WATER AND NITROGEN FRACTURING82
ANALYSIS OF NEWTON AND HERMITE–HADAMARD-TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES ON FRACTAL SETS USING GENERALIZED PRE-INVEXITY74
FORECASTING THE COVID-19 USING THE DISCRETE GENERALIZED LOGISTIC MODEL58
TIME-FRACTIONAL DYNAMICS MODEL BLACK–SCHOLES: IMPLICATIONS FOR OPTION PRICING STABILITY58
A ROBUST OPERATIONAL MATRIX OF NONSINGULAR DERIVATIVE TO SOLVE FRACTIONAL VARIABLE-ORDER DIFFERENTIAL EQUATIONS58
INVESTIGATION OF A NONLINEAR MULTI-TERM IMPULSIVE ANTI-PERIODIC BOUNDARY VALUE PROBLEM OF FRACTIONAL q-INTEGRO-DIFFERENCE EQUATIONS58
FRACTAL CHARACTERISTICS OF LOW-PERMEABILITY SANDSTONE RESERVOIRS57
GENERATION AND ROBUSTNESS OF QUANTUM MEMORY-ASSISTED ENTROPIC UNCERTAINTY AND UNCERTAINTY-INDUCED NONLOCALITY OF TWO NITROGEN-VACANCY CENTERS COUPLED BY OPEN TWO NANOCAVITIES55
HAS THE COVID-19 PANDEMIC AFFECTED THE FLOW OF INFORMATION AMONG CRYPTOCURRENCIES?53
FRACTAL EVOLUTION IN INTERNET INFORMATION PROPAGATION52
FRACTAL NETWORKS MODELED BY SOME FRACTAL CARPET51
FRACTAL VARIATIONAL PRINCIPLES FOR TWO DIFFERENT TYPES OF FRACTAL PLASMA MODELS WITH VARIABLE COEFFICIENTS51
ON ARITHMETIC PROGRESSIONS IN THE DIGITS OF ENGEL EXPANSIONS50
A NEW FRACTAL TRANSFORM FOR THE APPROXIMATE SOLUTION OF DRINFELD–SOKOLOV–WILSON MODEL WITH FRACTAL DERIVATIVES45
A NOTE ON CONTROLLABILITY OF NONINSTANTANEOUS IMPULSIVE ATANGANA–BALEANU–CAPUTO NEUTRAL FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS42
UNREADABLE OFFLINE HANDWRITING SIGNATURE VERIFICATION BASED ON GENERATIVE ADVERSARIAL NETWORK USING LIGHTWEIGHT DEEP LEARNING ARCHITECTURES39
ANALYSIS AND DYNAMICS OF CHOLERA EPIDEMIC SYSTEM IN SOCIETY VIA FRACTAL-FRACTIONAL OPERATOR37
FRACTIONAL OSTROWSKI TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION WITH APPLICATIONS37
CONSTRUCTION OF SOME SPECIAL CONTINUOUS FUNCTIONS AND ANALYSIS OF THEIR FRACTIONAL INTEGRALS36
ON NUMERICAL AND THEORETICAL FINDINGS FOR FRACTAL-FRACTIONAL ORDER GENERALIZED DYNAMICAL SYSTEM35
NEW SPECIAL FUNCTIONS APPLIED TO REPRESENT THE WEIERSTRASS–MANDELBROT FUNCTION35
AN INNOVATIVE ANALYTICAL METHOD FOR SOLVING THE FRACTIONAL CAUDREY DODD GIBBON EQUATION34
COMPUTATIONAL ADVANCEMENTS IN SPECTRAL METHODS FOR SOLVING FRACTIONAL-ORDER DIFFERENTIAL EQUATIONS34
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