Fractals-Complex Geometry Patterns and Scaling in Nature and Society

Article	Citations
FRACTAL ANALYSIS OF STOKES FLOW IN TORTUOUS MICROCHANNELS WITH HYDRAULICALLY ROUGH SURFACES	196
CONSTRUCTION OF SOME SPECIAL CONTINUOUS FUNCTIONS AND ANALYSIS OF THEIR FRACTIONAL INTEGRALS	178
NON-SPECTRAL PROBLEM FOR CANTOR MEASURES	101
STOCHASTIC OPTIMAL CONTROL ANALYSIS FOR THE COVID-19 EPIDEMIC MODEL UNDER REAL STATISTICS	98
NEW SPECIAL FUNCTIONS APPLIED TO REPRESENT THE WEIERSTRASS–MANDELBROT FUNCTION	96
A NOVEL COMPUTATIONAL APPROACH FOR FRACTAL NONLINEAR POCHHAMMER–CHREE MODEL	94
A REVIEW OF FRACTAL FUNCTIONS AND APPLICATIONS	92
INVESTIGATION OF A NONLINEAR MULTI-TERM IMPULSIVE ANTI-PERIODIC BOUNDARY VALUE PROBLEM OF FRACTIONAL q-INTEGRO-DIFFERENCE EQUATIONS	89
CAPUTO-BASED MODEL FOR INCREASING STRAINS OF CORONAVIRUS: THEORETICAL ANALYSIS AND EXPERIMENTAL DESIGN	86
FORECASTING THE COVID-19 USING THE DISCRETE GENERALIZED LOGISTIC MODEL	83
A NEW FRACTAL TRANSFORM FOR THE APPROXIMATE SOLUTION OF DRINFELD–SOKOLOV–WILSON MODEL WITH FRACTAL DERIVATIVES	81
SOLVABILITY AND OPTIMAL CONTROL OF A SYSTEM OF SEMILINEAR NONLOCAL FRACTIONAL EVOLUTION INCLUSIONS WITH PARTIAL CLARKE SUBDIFFERENTIAL	80
ON ANALYTICAL AND NUMERICAL SIMULATIONS FOR THE ULTRA-SHORT PULSES MATHEMATICAL MODEL IN OPTICAL FIBERS	78
A ROBUST OPERATIONAL MATRIX OF NONSINGULAR DERIVATIVE TO SOLVE FRACTIONAL VARIABLE-ORDER DIFFERENTIAL EQUATIONS	58
A d-SUMMABLE APPROACH TO DENG INFORMATION DIMENSION OF COMPLEX NETWORKS	56
FRACTAL NETWORKS MODELED BY SOME FRACTAL CARPET	55
FRACTIONAL OSTROWSKI TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION WITH APPLICATIONS	55
HAS THE COVID-19 PANDEMIC AFFECTED THE FLOW OF INFORMATION AMONG CRYPTOCURRENCIES?	51
STUDY ON MICROSTRUCTURAL EVOLUTION OF ROCK FRACTURES UNDER MULTI-FIELD INTERACTIONS	51
TIME-FRACTIONAL DYNAMICS MODEL BLACK–SCHOLES: IMPLICATIONS FOR OPTION PRICING STABILITY	50
UNREADABLE OFFLINE HANDWRITING SIGNATURE VERIFICATION BASED ON GENERATIVE ADVERSARIAL NETWORK USING LIGHTWEIGHT DEEP LEARNING ARCHITECTURES	49
SOME PROPERTIES FOR THE RIEMANN–LIOUVILLE FRACTAL CALCULUS OF CONTINUOUS FUNCTIONS	49
PHYSICS-INFORMED DEEP AI SIMULATION FOR FRACTAL INTEGRO-DIFFERENTIAL EQUATION	48
HARNESSING PRIVACY-PRESERVING FEDERATED LEARNING WITH BLOCKCHAIN FOR SECURE IOMT APPLICATIONS IN SMART HEALTHCARE SYSTEMS	47
GENERATION AND ROBUSTNESS OF QUANTUM MEMORY-ASSISTED ENTROPIC UNCERTAINTY AND UNCERTAINTY-INDUCED NONLOCALITY OF TWO NITROGEN-VACANCY CENTERS COUPLED BY OPEN TWO NANOCAVITIES	46

An Innovative Analytical Method for Solving the Fractional Caudrey Dodd Gibbon Equation	44
FRACTAL VARIATIONAL PRINCIPLES FOR TWO DIFFERENT TYPES OF FRACTAL PLASMA MODELS WITH VARIABLE COEFFICIENTS	38
A DISCRETE MEMRISTOR COUPLED TWO-DIMENSIONAL GENERALIZED SQUARE HYPERCHAOTIC MAPS	38
ADVANCING DERMATOLOGIC ONCOLOGY USING PARAMETER-REFINED DEEP LEARNING-DRIVEN STRATEGY FOR ENHANCED PRECISION MEDICINE	37
DYNAMICS OF LEPTOSPIROSIS DISEASE IN CONTEXT OF PIECEWISE CLASSICAL-GLOBAL AND CLASSICAL-FRACTIONAL OPERATORS	37
NUMERICAL COMPUTING TO SOLVE THE NONLINEAR CORNEAL SYSTEM OF EYE SURGERY USING THE CAPABILITY OF MORLET WAVELET ARTIFICIAL NEURAL NETWORKS	37
FRACTAL EVOLUTION IN INTERNET INFORMATION PROPAGATION	34
ANALYSIS OF POROSITY, PERMEABILITY, AND ANISOTROPY OF SANDSTONE IN FREEZE–THAW ENVIRONMENTS USING COMPUTED TOMOGRAPHY AND FRACTAL THEORY	33
A NOTE ON CONTROLLABILITY OF NONINSTANTANEOUS IMPULSIVE ATANGANA–BALEANU–CAPUTO NEUTRAL FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS	33
ANALYSIS OF NEWTON AND HERMITE–HADAMARD-TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES ON FRACTAL SETS USING GENERALIZED PRE-INVEXITY	33
ON NUMERICAL AND THEORETICAL FINDINGS FOR FRACTAL-FRACTIONAL ORDER GENERALIZED DYNAMICAL SYSTEM	32
A FRACTAL PERSPECTIVE ON FRACTURE INITIATION AND PROPAGATION OF RESERVOIR ROCKS UNDER WATER AND NITROGEN FRACTURING	32
FRACTAL BOUNDARY LAYER AND ITS BASIC PROPERTIES	32
RECONSTRUCTION OF RANDOM FIBROUS POROUS MATERIAL AND NUMERICAL STUDY ON ITS TRANSPORT PROPERTIES BY FRACTAL MONTE CARLO METHOD	32
FRACTAL CHARACTERISTICS OF LOW-PERMEABILITY SANDSTONE RESERVOIRS	32
EDITORIAL SPECIAL ISSUE: PART IV-III-II-I SERIES	30
ON ARITHMETIC PROGRESSIONS IN THE DIGITS OF ENGEL EXPANSIONS	30
NUMERICAL ANALYSIS OF A FRACTIONAL MICRO/NANOBEAM-BASED MICRO-ELECTROMECHANICAL SYSTEM	30
ANALYSIS AND DYNAMICS OF CHOLERA EPIDEMIC SYSTEM IN SOCIETY VIA FRACTAL-FRACTIONAL OPERATOR	30
INFERRING CAPILLARY PRESSURE CURVE FROM 2D ROCK IMAGES BASED ON FRACTAL THEORY IN LOW-PERMEABILITY SANDSTONE: A NEW INTEGRATED APPROACH	29
HOPF BIFURCATION AND GLOBAL STABILITY OF A PREDATOR–PREY MODEL WITH ALTERNATIVE RESOURCE AND CANNIBALISM	29
A QUANTUM FRACTALS THEORY OF THE PIONS CHAOS AND THEIR FUTURISTIC APPLICATIONS WITH GRANULAR SOURCES	28
CAPUTO-TYPE FRACTIONAL SYSTEMS WITH VARIABLE ORDER DEPENDING ON THE IMPULSES AND CHANGING THE KERNEL	28
A FACIAL EXPRESSION RECOGNITION METHOD USING LOCAL NONLINEAR FEATURES	28
A 3D FRACTAL MODEL COUPLED WITH TRANSPORT AND ACTION MECHANISMS TO PREDICT THE APPARENT PERMEABILITY OF SHALE MATRIX	28
RUN-LENGTH FUNCTION FOR REAL NUMBERS IN β-EXPANSIONS	28
STUDY OF PIECEWISE GLOBAL FRACTIONAL FINANCIAL MODEL WITH THREE STATE VARIABLES	27
NUMERICAL MODELING OF A NOVEL STOCHASTIC CORONAVIRUS	27
SHAPE PRESERVING ASPECTS OF BIVARIATE α-FRACTAL FUNCTION	27
FRACTAL-BASED MODELS STUDY OF THE RELATIVE HYDRAULIC CONDUCTIVITY AND SWCC OF BENTONITE BY SYNCHROTRON RADIATION SAXS AND X-RAY COMPUTED TOMOGRAPHY	27
CAPUTO TYPE FRACTIONAL OPERATOR APPLIED TO HEPATITIS B SYSTEM	27
PIECEWISE FRACTIONAL-ORDER MODELING OF THE BREAST CANCER EPIDEMIOLOGY AFTER THE ATEZOLIZUMAB TREATMENT	27
INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS	27
A FRACTIONAL-ORDER BOVINE BABESIOSIS EPIDEMIC TRANSMISSION MODEL WITH NONSINGULAR MITTAG-LEFFLER LAW	27
Exact Solutions of the (1+1)-Dimensional Nonlinear Schrdinger Equation via a Novel Analytical Approach	26
Fractional optimal control for the analytical treatment of malaria model	26
APPLIED LINGUISTICS DRIVEN LARGE LANGUAGE MODEL FOR SARCASM RECOGNITION ON SOCIAL MEDIA CORPORA	26
EVALUATION OF THE COUPLING BETWEEN ELECTROENCEPHALOGRAM (EEG) AND GALVANIC SKIN RESPONSE (GSR) SIGNALS VERSUS THE COMPLEX STRUCTURE OF MUSIC	25
MULTIFRACTAL CHARACTERISTICS OF THE MITOCHONDRIAL BK CHANNEL ACTIVITY IN THE PRESENCE OF THE CHANNEL-ACTIVATING FLAVONOIDS	25
Proximal Policy Optimization for Collision Avoidance and Motion Planning in Autonomous Vehicles: A Mathematical Modeling Perspective	25
INVESTIGATION OF THE FRACTAL RESPONSE OF A NONLINEAR PACKAGING SYSTEM	25
ANALYSIS OF MIXED WEYL–MARCHAUD FRACTIONAL DERIVATIVE AND BOX DIMENSIONS	24
SPLINES SOLUTIONS OF HIGHER-ORDER BVPs THAT ARISE IN CONSISTENT MAGNETIZED FORCE FIELD	24
A COUPLED NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS USING MODIFIED ABC OPERATOR	24
SOLITARY WAVES OF THE FRACTAL REGULARIZED LONG-WAVE EQUATION TRAVELING ALONG AN UNSMOOTH BOUNDARY	24
COMPLEXITY AND INFORMATION-BASED ANALYSIS OF THE ELECTROENCEPHALOGRAM (EEG) SIGNALS IN STANDING, WALKING, AND WALKING WITH A BRAIN–COMPUTER INTERFACE	24
THE FRACTIONAL ANALYSIS OF (2 + 1)-DIMENSIONAL NONLINEAR TIME-FRACTIONAL ROSENAU–HYMAN MODEL USING NATURAL HOMOTOPY TRANSFORM METHOD	24
A note on the incompatibility of autonomous fractional differential systems and fractional derivatives with non-singular kernels	24
A FRACTAL SOLUTION OF CAMASSA–HOLM AND DEGASPERIS–PROCESI MODELS UNDER TWO-SCALE DIMENSION APPROACH	24
EVALUATION OF SHALE GAS EXPLORATION BY MICROSTRUCTURE BEHAVIOR AND SHALE PERMEABILITY BASED ON FRACTAL THEORY AND UNDER MULTI-FIELD EFFECTS	23

WADA BASINS IN AN UNCONTROLLED AND CONTROLLED VIBRATION ISOLATION SYSTEM	23
A STUDY ON MULTI-STIRLING NUMBERS OF THE FIRST KIND	23
LOCAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO FUJITA-TYPE EQUATIONS INVOLVING GENERAL ABSORPTION TERM ON FINITE GRAPHS	23
DIRICHLET PROBLEM OF POISSON EQUATIONS ON A TYPE OF HIGHER-DIMENSIONAL FRACTAL SETS	23
WEAK TANGENTS ON CLOSED POPCORN GRAPHS	22
LOCAL FRACTIONAL VARIATIONAL ITERATION TRANSFORM METHOD: A TOOL FOR SOLVING LOCAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS	22
BÄCKLUND TRANSFORMATION AND DIVERSE EXACT EXPLICIT SOLUTIONS OF THE FRACTAL COMBINED KdV–mKdV EQUATION	22
NOVEL RESULTS ON BIFURCATIONS FOR A FRACTIONAL-ORDER NEURAL NETWORK WITH NEUTRAL DELAYS	21
PREFACE: SPECIAL ISSUE ON APPLICATION OF BRAIN-LIKE COMPUTING TO THE MODELING AND SIMULATION OF COMPLEX SYSTEMS — PART II	21
ON HIGHLY EFFICIENT SIMULTANEOUS SCHEMES FOR FINDING ALL POLYNOMIAL ROOTS	21
MEMORY EFFECT ANALYSIS USING PIECEWISE CUBIC B-SPLINE OF TIME FRACTIONAL DIFFUSION EQUATION	21
UNIFORM DIOPHANTINE APPROXIMATION TO CANTOR SERIES EXPANSION	21
ENVIRONMENTAL LANDSCAPE ART DESIGN USING DYNAMIC NONLINEAR PARAMETERIZATION	21
NUMERICAL ANALYSIS OF NEWLY DEVELOPED FRACTAL-FRACTIONAL MODEL OF CASSON FLUID WITH EXPONENTIAL MEMORY	21
CHAOTIC BEHAVIOR OF MODIFIED STRETCH–TWIST–FOLD FLOW UNDER FRACTAL-FRACTIONAL DERIVATIVES	21
HOMOTOPY PERTURBATION METHOD FOR FRACTAL DUFFING OSCILLATOR WITH ARBITRARY CONDITIONS	20
PERFORMANCE IMPROVEMENT EVALUATION OF A LATENT HEAT STORAGE UNIT ENHANCED BY VICSEK FRACTAL FINS	20
MATHEMATICAL MODELING AND STABILITY ANALYSIS OF THE DYNAMICS OF MONKEYPOX VIA FRACTIONAL-CALCULUS	20
COMBINED ELECTROOSMOTIC AND PRESSURE DRIVEN FLOW IN TREE-LIKE MICROCHANNEL NETWORK	20
INVESTIGATING THE RELATIONSHIP BETWEEN PORE CHARACTERISTICS, FRACTAL DIMENSION, AND PERMEABILITY OF LIMESTONE USING HIGH-PRESSURE MERCURY INTRUSION, SEM ANALYSIS, AND BP NEURAL NETWORK	20
A NEW FRACTAL MODIFIED BENJAMIN–BONA–MAHONY EQUATION: ITS GENERALIZED VARIATIONAL PRINCIPLE AND ABUNDANT EXACT SOLUTIONS	20
INVESTIGATION OF FINANCIAL BUBBLE MATHEMATICAL MODEL UNDER FRACTAL-FRACTIONAL CAPUTO DERIVATIVE	20
INVESTIGATION OF THE TIME FRACTIONAL GENERALIZED (2 + 1)-DIMENSIONAL ZAKHAROV–KUZNETSOV EQUATION WITH SINGLE-POWER LAW NONLINEARITY	20
The Formation of Exact Travelling Ferromagnetic Waves and Mathematically Forecasting of Nonlinear Dynamical Propagation	20
THE EFFECT OF NOISE AND NONLINEAR NOISE REDUCTION METHODS ON THE FRACTAL DIMENSION OF CHAOTIC TIME SERIES	20
AN ECOSYSTEM MODEL WITH MEMORY EFFECT CONSIDERING GLOBAL WARMING PHENOMENA AND AN EXPONENTIAL FEAR FUNCTION	20
PERMEABILITY MODELS FOR TWO-PHASE FLOW IN FRACTAL POROUS-FRACTURE MEDIA WITH THE TRANSFER OF FLUIDS FROM POROUS MATRIX TO FRACTURE	20
RESULT OF LOCAL EXISTENCE OF SOLUTIONS OF NONLOCAL VISCOELASTIC SYSTEM WITH RESPECT TO THE NONLINEARITY OF SOURCE TERMS	20
INVERSE PROBLEM RESOLUTION VIA KOHN–VOGELIUS FORMULATION AND TOPOLOGICAL SENSITIVITY METHOD	19
TWO-SCALE FRACTAL THEORY FOR THE POPULATION DYNAMICS	19
A GENERALIZED METHOD AND ITS APPLICATIONS TO n-DIMENSIONAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN FRACTAL DOMAIN	19
INTEGRAL SOLUTIONS OF AN INITIAL VALUE PROBLEM OF FRACTIONAL DYNAMIC EQUATIONS ON TIME SCALE	19
CHARACTERIZATION OF BEHAVIORAL COMPLEXITY IN MARINE TRACE FOSSILS AND ITS PALEOENVIRONMENTAL SIGNIFICANCE: A CASE STUDY OF ZOOPHYCOS	19
A COMPARATIVE STUDY OF SEMI-ANALYTICAL METHODS FOR SOLVING FRACTIONAL-ORDER CAUCHY REACTION–DIFFUSION EQUATION	19
ANOMALOUS DIFFUSION MODELS AND MANDELBROT SCALING-LAW SOLUTIONS	19
DISCRETE HERMITE–HADAMARD-TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION	18
EXISTENCE AND STABILITY RESULTS OF FRACTIONAL DIFFERENTIAL EQUATIONS MITTAG-LEFFLER KERNEL	18
NOVEL BRIGHT AND KINK OPTICAL SOLITON SOLUTIONS OF FRACTIONAL LAKSHMANAN–PORSEZIAN–DANIEL EQUATION WITH KERR LAW NONLINEARITY IN CONFORMABLE SENSE	18
A DELAYED MALWARE PROPAGATION MODEL FOR CLOUD COMPUTING SECURITY	18
FRACTIONAL-ORDER NEWTON–RAPHSON METHOD FOR NONLINEAR EQUATION WITH CONVERGENCE AND STABILITY ANALYSES	18
A LOAD BALANCE PERSONALIZED PATH FINDING WITH MULTIPLE-AGENT DEEP REINFORCEMENT LEARNING	18
EVALUATING THE ORDERLINESS OF NONLINEAR DYNAMIC TOURISM SYSTEM WITH ENTROPY AND INFORMATION ENTROPY	18
NUMERICAL SOLUTION OF WAVELET NEURAL NETWORK LEARNING WEIGHTS USING ACCELERATED PARTICLE SWARM OPTIMIZATION ALGORITHM	18
COMPUTATIONAL SOLUTIONS OF FRACTIONAL ELECTRIC SYMMETRIC CIRCUITS BY SUMUDU TRANSFORMATION	18
A NOVEL VARIATIONAL APPROACH TO FRACTAL SWIFT–HOHENBERG MODEL ARISING IN FLUID DYNAMICS	18
THE THICKNESS AND QUASISYMMETRICAL EQUIVALENCE OF THE SETS DEFINED BY DIGIT RESTRICTIONS	18
QUALITATIVE ANALYSIS OF SEIRS ENDEMIC MODEL BOTH FROM PDEs AND ODEs PERSPECTIVE	18
APPROXIMATE SOLUTION OF FORNBERG–WHITHAM EQUATION BY MODIFIED HOMOTOPY PERTURBATION METHOD UNDER NON-SINGULAR FRACTIONAL DERIVATIVE	18
Exact solutions of the local fractional KdV equation with dual power law nonlinearity on the Cantor sets	17
OPTICAL SOLUTIONS WITH KUDRYASHOV’S ARBITRARY TYPE OF GENERALIZED NON-LOCAL NONLINEARITY AND REFRACTIVE INDEX VIA KUDRYASHOV AUXILIARY EQUATION METHOD	17
ON THE ALGEBRAIC FOUNDATION OF THE MANDELBULB	17
AUTOMATED MULTI-DIALECT SPEECH RECOGNITION USING STACKED ATTENTION-BASED DEEP LEARNING WITH NATURAL LANGUAGE PROCESSING MODEL	17
UNIFORM CONTINUITY OF FRACTIONAL ORDER INTEGRAL OF FRACTAL INTERPOLATION FUNCTION	17
FURTHER ON OPIAL TYPE INTEGRAL INEQUALITIES FOR SUPERQUADRATIC FUNCTIONS	17
A NOVEL MODEL FOR EFFECTIVE THERMAL CONDUCTIVITY OF TREE-LIKE BRANCHING NETWORK WITH FRACTAL ROUGHENED SURFACES	17
AN EFFICIENT FRACTAL CARDIO DISEASES ANALYSIS USING OPTIMIZED DEEP LEARNING MODEL IN CLOUD OF THING CONTINUUM ARCHITECTURE	17
APPRAISAL OF ANALYTICAL SOLUTIONS FOR (2 + 1)-DIMENSIONAL NONLINEAR CHIRAL SCHRÖDINGER EQUATION	17
A FRACTIONAL BOREL–POMPEIU-TYPE FORMULA FOR HOLOMORPHIC FUNCTIONS OF TWO COMPLEX VARIABLES	17
ANALYTIC SOLUTION OF ONE-DIMENSIONAL FRACTIONAL GLYCOLYSIS MODEL	16
PRACTICE AND DEVELOPMENT OF SPORTS SOMATIC SCIENCE IN SOCIAL PHYSICAL EDUCATION TEACHING USING FRACTAL THEORY	16
EXACT DIMENSIONS OF EXCEPTIONAL SETS IN LÜROTH EXPANSIONS	16
MEAN STEINER DISTANCE OF VICSEK NETWORKS	16
EFFECT OF OCCASIONAL HEROIN CONSUMERS ON THE SPREAD OF HEROIN ADDICTION	16
FRACTAL CHARACTERISTICS OF CORE DISKING FRACTURE SURFACES	16
ASSESSMENT OF SECTOR BOND, EQUITY INDICES AND GREEN BOND INDEX USING INFORMATION THEORY QUANTIFIERS AND CLUSTERS TECHNIQUES	16
TANGENT MEASURES OF NON-HOMOGENEOUS CANTOR SETS SATISFYING THE STRONG SEPARATION CONDITION	16
A MATHEMATICAL MODEL FOR CONTROLLING THE ALCOHOL ADDICTION: STABILITY AND NUMERICAL ANALYSIS	16
TESTING FOR EFFECTS OF CROSS-CORRELATIONS ON JOINT MULTIFRACTALITY	16
ZAGREB ECCENTRICITY INDEX OF LEVEL-n SIERPINSKI GASKET	16
A FRACTAL MODEL OF POWER-LAW FLUID THROUGH CHARGED FIBROUS POROUS MEDIA BY USING THE FRACTIONAL-DERIVATIVE THEORY	16
COMPLEXITY AND MEMORY-BASED COMPARISON OF THE BRAIN ACTIVITY BETWEEN ADHD AND HEALTHY SUBJECTS WHILE PLAYING A SERIOUS GAME	15
EXACT TRAVELING WAVE SOLUTIONS OF THE COUPLED LOCAL FRACTIONAL NONLINEAR SCHRÖDINGER EQUATIONS FOR OPTICAL SOLITONS ON CANTOR SETS	15
PREDICTING INTENSIVE CARE UNIT READMISSION AMONG PATIENTS AFTER LIVER TRANSPLANTATION USING MACHINE LEARNING	15
TANGENT MEASURES ON HOMOGENEOUS CANTOR SETS ON ℝ SATISFYING THE CONVEX OPEN SET CONDITION	15
Significant Findings Concerning a Specific Class of Stochastic Differential Equations with Fractional Order	15
IMPACT OF THE SAME DEGENERATE ADDITIVE NOISE ON A COUPLED SYSTEM OF FRACTIONAL SPACE DIFFUSION EQUATIONS	15
BEURLING DIMENSION AND SELF-AFFINE MEASURES	15
ANALYSIS SEQUENTIAL FRACTIONAL DIFFERENCES AND RELATED MONOTONICITY RESULTS	15
CHARACTERISTIC ANALYSIS OF FRACTIONAL-ORDER RLC CIRCUIT BASED ON THE CAPUTO–FABRIZIO DEFINITION	15
COMPUTATIONAL INSIGHTS INTO ARABIC PROPAGANDA: AN INTEGRATION OF CORPUS LINGUISTICS WITH DEEP LEARNING APPROACH	15

A NOVEL ANALYTICAL APPROACH TO FRACTAL NONLINEAR DISPERSIVE MODEL WITH VARIABLE COEFFICIENTS	15
RESULTS ON TRICOMPLEX PARTIAL METRIC SPACES AND THEIR APPLICATION IN THE NONLINEAR BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER	15
MULTIPLE RGB IMAGE ENCRYPTION ALGORITHM WITH MULTILAYERS BY AFFINE HILL CIPHER WITH FRDCT AND ARNOLD TRANSFORM	15
STUDY ON NONLINEAR FRACTIONAL ORDER CONFORMABLE MODEL OF INFECTIOUS DISEASE USING UPDATED ANALYTICAL TECHNIQUES	15
FRACTIONAL MODELING AND NUMERICAL SIMULATION FOR UNFOLDING MARBURG–MONKEYPOX VIRUS CO-INFECTION TRANSMISSION	14
DOUBLE DIFFUSIVE MAGNETO-FREE CONVECTION FLOW OF A MAXWELL FLUID OVER A VERTICAL PLATE: SPECIAL FUNCTIONS BASED ANALYSIS USING LOCAL AND NONLOCAL KERNELS TO HEAT AND MASS FLUX SUBJECT TO EXPONENTIAL H	14
LIE GROUP ANALYSIS OF FRACTAL DIFFERENTIAL-DIFFERENCE EQUATIONS	14
SYSTEMS OF NONLINEAR DELAY INTEGRAL EQUATIONS: POSITIVE SOLUTIONS, COMPARISON THEOREMS, AND DATA DEPENDENCE	14
AUTOMATING METER CLASSIFICATION OF ARABIC POEMS: A HARRIS HAWKS OPTIMIZATION WITH DEEP LEARNING PERSPECTIVE	14
A FRACTAL-MONTE CARLO APPROACH TO SIMULATE KOZENY–CARMAN CONSTANT OF ROUGHENED FIBROUS POROUS MEDIA	14
FRACTAL DIMENSION VARIATION OF CONTINUOUS FUNCTIONS UNDER CERTAIN OPERATIONS	14
A RIGID PENDULUM IN A MICROGRAVITY: SOME SPECIAL PROPERTIES AND A TWO-SCALE FRACTAL MODEL	14
IMPLEMENTATION OF MULTI-FOLDED TORUS ATTRACTORS VIA A PIECEWISE SYSTEM WITH A PIECEWISE LINEAR ODD FUNCTION	14
ANALYSIS AND IMPLEMENTATION OF NUMERICAL SCHEME FOR THE VARIABLE-ORDER FRACTIONAL MODIFIED SUB-DIFFUSION EQUATION	14
CONSTRUCTION OF CLOSED FORM SOLITON SOLUTIONS TO THE SPACE-TIME FRACTIONAL SYMMETRIC REGULARIZED LONG WAVE EQUATION USING TWO RELIABLE METHODS	14
THE CORRELATION BETWEEN FLUID FLOW AND HEAT TRANSFER OF UNSATURATED SHALE RESERVOIR BASED ON FRACTAL GEOMETRY	14
THE EFFECT OF THE WEYL FRACTIONAL INTEGRAL ON FUNCTIONS	14
NON-EXISTENCE OF GLOBAL SOLUTIONS TO A SYSTEM OF FRACTIONALLY DAMPED FRACTIONAL DIFFERENTIAL PROBLEMS	13
FRACTIONAL DYNAMICS OF CHRONIC LYMPHOCYTIC LEUKEMIA WITH THE EFFECT OF CHEMOIMMUNOTHERAPY TREATMENT	13
FRACTAL DIMENSIONS OF THE LOGARITHM OF CONTINUOUS FUNCTIONS	13
HERMITE–HADAMARD TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED s-PREINVEX FUNCTIONS AND THEIR GENERALIZATION	13
MULTIFRACTAL CHARACTERIZATION OF THE INHOMOGENEOUS STRAIN EVOLUTION OF THE DEHYDRATED COAL: INSIGHT FROM COAL MICROSTRUCTURE	13
SOME IDENTITIES OF FULLY DEGENERATE DOWLING AND FULLY DEGENERATE BELL POLYNOMIALS ARISING FROM λ-UMBRAL CALCULUS	13
UNDERSTANDING THE ROLE OF MOVABLE OIL IN THE COMPLEXITY OF SHALE PORE STRUCTURES BASED ON FRACTAL THEORY	13
REPRODUCING KERNEL HILBERT SPACES OF FRACTAL INTERPOLATION FUNCTIONS FOR CURVE FITTING PROBLEMS	13
A FRACTAL-FRACTIONAL TSUNAMI MODEL CONSIDERING NEAR-SHORE FRACTAL BOUNDARY	13
VARIATIONAL ANALYSIS FOR FRACTIONAL EQUATIONS WITH VARIABLE EXPONENTS: EXISTENCE, MULTIPLICITY AND NONEXISTENCE RESULTS	13
DYNAMICS OF COOPERATIVE REACTIONS BASED ON CHEMICAL KINETICS WITH REACTION SPEED: A COMPARATIVE ANALYSIS WITH SINGULAR AND NONSINGULAR KERNELS	13
EXISTENCE AND STABILITY THEORIES FOR A COUPLED SYSTEM INVOLVING p-LAPLACIAN OPERATOR OF A NONLINEAR ATANGANA–BALEANU FRACTIONAL DIFFERENTIAL EQUATIONS	13
STUDY OF THE INTERACTION BETWEEN MICROSTRUCTURE AND MACROSCOPIC BEHAVIOR FOR HYDRAULIC FRACTURING AREAS DURING SHALE GAS EXTRACTION	13
ON SELF-SIMILARITY OF QUADRANGLE	13
ENGINEERING GEOMETRIC PHASE AND CORRELATION DYNAMICS OF NITROGEN VACANCIES IN DIAMOND INTERACTING WITH TWO NANOCAVITIES	13
FRACTAL ORACLE NUMBERS	13
COLOR IMAGE ENCRYPTION THROUGH MULTI-S-BOX GENERATED BY HYPERCHAOTIC SYSTEM AND MIXTURE OF PIXEL BITS	13
OPTIMIZATION OF HEAT CONDUCTION FOR TREELIKE NETWORK WITH ARBITRARY CROSS-SECTIONAL SHAPE	13
TOPOLOGICAL PRESSURE OF POINCARÉ RECURRENCE SET	13
FUZZY FRACTIONAL ORDER SLIDING MODE CONTROL FOR OPTIMAL ENERGY CONSUMPTION-TRANSIENT RESPONSE TRADE-OFF IN ROBOTIC SYSTEMS	13
A FRACTAL-BASED OIL TRANSPORT MODEL WITH UNCERTAINTY REDUCTION FOR A MULTI-SCALE SHALE PORE SYSTEM	13
COMPLEX NETWORKS MODELED ON A KIND OF SIERPIŃSKI-LIKE CARPET	13
COMPLEXITY-BASED ANALYSIS OF THE VARIATIONS OF THE BRAIN’S REACTIONS IN DIFFERENT TYPES OF LOCOMOTIONS	13
MODELING AFTERSHOCKS BY FRACTIONAL CALCULUS: EXACT DISCRETIZATION VERSUS APPROXIMATE DISCRETIZATION	12
APPROXIMATION WITH FRACTAL FUNCTIONS BY FRACTAL DIMENSION	12
Exploring Conformable Fractional Integral Inequalities: A Multi-Parameter Approach	12
A NOVEL TEMPERED FRACTIONAL TRANSFORM: THEORY, PROPERTIES AND APPLICATIONS TO DIFFERENTIAL EQUATIONS	12
A STUDY OF FRACTAL DUAL MOMENTUM INVESTMENT STRATEGY UNDER THE CONSTRAINT OF MULTI-FRACTAL CHARACTERISTICS OF STOCK MARKET	12
A COMPUTATIONAL ALGORITHM FOR THE NUMERICAL SOLUTION OF NONLINEAR FRACTIONAL INTEGRAL EQUATIONS	12
NEW DEVELOPMENTS IN WEIGHTED n-FOLD TYPE INEQUALITIES VIA DISCRETE GENERALIZED ℏ̂-PROPORTIONAL FRACTIONAL OPERATORS	12
ON ANALYSIS OF FRACTIONAL ORDER MATHEMATICAL MODEL OF HEPATITIS B USING ATANGANA–BALEANU CAPUTO (ABC) DERIVATIVE	12
ON GENERAL LOCAL FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED H-PREINVEX FUNCTIONS ON YANG’S FRACTAL SETS	12
HERMITE WAVELET METHOD FOR APPROXIMATE SOLUTION OF HIGHER ORDER BOUNDARY VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS	12
FAST AND ACCURATE POPULATION FORECASTING WITH TWO-SCALE FRACTAL POPULATION DYNAMICS AND ITS APPLICATION TO POPULATION ECONOMICS	12
PULL-IN STABILITY OF A FRACTAL MEMS SYSTEM AND ITS PULL-IN PLATEAU	12
YOLO EXPERT SYSTEM FOR REAL-TIME PATTERN RECOGNITION USING DRONES ON WIND FARM TURBINE	12
A FRACTAL-FRACTIONAL 2019-NCOV MODEL OF MAJOR DISASTER FOR HUMAN LIFE	12
GENERALIZED SYNCHRONIZATION AND PARAMETERS IDENTIFICATION OF DIFFERENT-DIMENSIONAL CHAOTIC SYSTEMS IN THE COMPLEX FIELD	12
APPLICATION OF HOSOYA POLYNOMIAL TO SOLVE A CLASS OF TIME-FRACTIONAL DIFFUSION EQUATIONS	12
LOCAL GEOMETRY OF SELF-SIMILAR SETS: TYPICAL BALLS, TANGENT MEASURES AND ASYMPTOTIC SPECTRA	11
A PROBABILISTIC INTERPRETATION OF THE DZHRBASHYAN FRACTIONAL INTEGRAL	11
MULTIFRACTAL MODELING OF GAS–WATER RELATIVE PERMEABILITY CONSIDERING MULTISCALE AND MULTIEFFECTS: INVESTIGATION OF UNCONVENTIONAL GAS DEVELOPMENT	11
A FINGERPRINT REMOVAL METHOD BASED ON FRACTAL–CRIMINISI TECHNOLOGY	11
PREFACE: Special Issue on Dynamical Systems and Their Applications to Engineering, Economy and Health Sciences	11
A NUMERICAL STUDY ON THE DYNAMICS OF DENGUE DISEASE MODEL WITH FRACTIONAL PIECEWISE DERIVATIVE	11
QUANTIFYING ROUGH FRACTURE BEHAVIORS IN GAS-BEARING COAL SEAM: A FULLY COUPLED FRACTAL ANALYSIS	11
THE PROLIFERATION OF COVID-19 IN SAUDI ARABIA ACCORDING TO GOMPERTZ MODEL	11
INVISIBLE SETS AND CONFORMAL DIMENSIONS OF SQUARE SIERPIŃSKI CARPETS	11
MOTION TARGET MONITORING AND RECOGNITION IN VIDEO SURVEILLANCE USING CLOUD–EDGE–IOT AND MACHINE LEARNING TECHNIQUES	11
PREFACE — SPECIAL ISSUE ON FRACTALS AND LOCAL FRACTIONAL CALCULUS: RECENT ADVANCES AND FUTURE CHALLENGES	10
SOME NEW TYPES OF GRONWALL-BELLMAN INEQUALITY ON FRACTAL SET	10
DYNAMICS OF OPTICAL WAVE PROFILES TO THE FRACTIONAL THREE-COMPONENT COUPLED NONLINEAR SCHRÖDINGER EQUATION	10
TWO-DIMENSIONAL FRACTIONAL EULER POLYNOMIALS METHOD FOR FRACTIONAL DIFFUSION-WAVE EQUATIONS	10
ON MULTIPLICATIVE (s,P)-CONVEXITY AND RELATED FRACTIONAL INEQUALITIES WITHIN MULTIPLICATIVE CALCULUS	10
CONVERGENCE OF DIRICHLET FORMS AND BESOV NORMS ON SCALE IRREGULAR SIERPIŃSKI GASKETS	10
WAVE PROPAGATION AND MAGNETIC ORDERING IN FERROMAGNETIC MATERIALS	10
OUTLINING GUIDELINES FOR THE APPLICATION OF THE MF-DCCA IN FINANCIAL TIME SERIES: NON-STATIONARY VERSUS STATIONARY	10
AN IMPROVEMENT OF THE POWER-MEAN INTEGRAL INEQUALITY IN THE FRAME OF FRACTAL SPACE AND CERTAIN RELATED MIDPOINT-TYPE INTEGRAL INEQUALITIES	10
FRACTAL MODEL FOR EFFECTIVE THERMAL CONDUCTIVITY OF COMPOSITE MATERIALS EMBEDDED WITH A DAMAGED TREE-LIKE BIFURCATION NETWORK	10
CONFORMABLE DERIVATIVES IN VISCOUS FLOW DESCRIBING FLUID THROUGH POROUS MEDIUM WITH VARIABLE PERMEABILITY	10
NONLOCAL LOW RANK REGULARIZATION METHOD FOR FRACTAL IMAGE CODING UNDER SALT-AND-PEPPER NOISE	10
FRACTIONAL CALCULUS OPERATORS–BLOCH–TORREY PARTIAL DIFFERENTIAL EQUATION–ARTIFICIAL NEURAL NETWORKS–COMPUTATIONAL COMPLEXITY MODELING OF THE MICRO–MACROSTRUCTURAL BRAIN TISSUES WITH DIFFUSION MRI SIGN	10
A FRACTAL MODEL OF LOW-VELOCITY NON-DARCY FLOW CONSIDERING VISCOSITY DISTRIBUTION AND BOUNDARY LAYER EFFECT	10
GROUP ANALYSIS OF THE TIME FRACTIONAL (3 + 1)-DIMENSIONAL KDV-TYPE EQUATION	10
THE FRACTAL MATHEMATICAL MODELS FOR SPONTANEOUS AND FORCED IMBIBITION WITH DIFFERENT CROSS-SECTION SHAPES IN SHALE OIL RESERVOIR	10
CHAOTIC DYNAMICS OF A NOVEL 2D DISCRETE FRACTIONAL ORDER USHIKI MAP	10
A HIGH ORDER NUMERICAL SCHEME FOR FRACTAL-FRACTIONAL LASER SYSTEM WITH CHAOS STUDY	10
GEODESIC DISTANCES ON SIERPINSKI-LIKE SPONGES AND THEIR SKELETON NETWORKS	10
STUDY OF FRACTIONAL ORDER DELAY CAUCHY NON-AUTONOMOUS EVOLUTION PROBLEMS VIA DEGREE THEORY	10
COMPLEXITY-BASED ANALYSIS OF THE VARIATIONS IN THE BRAIN RESPONSE OF PORN-ADDICTED AND HEALTHY INDIVIDUALS UNDER DIFFERENT FUNCTION TASKS	10
A MATHEMATICAL MODEL FOR NIPAH VIRUS DISEASE BY USING PIECEWISE FRACTIONAL ORDER CAPUTO DERIVATIVE	10
STEREO VISION INFORMATION SYSTEM USING MEDIAN THEOREM AND ATTITUDE COMPENSATION WITH NONLINEAR DIFFERENTIAL EQUATIONS	10
FINANCIAL TIME SERIES USING NONLINEAR DIFFERENTIAL EQUATION OF GAUSSIAN DISTRIBUTION PROBABILITY DENSITY	10
VARIATIONAL PRINCIPLES FOR FRACTAL BOUSSINESQ-LIKE B(m,n) EQUATION	10
WEIGHT-DEPENDENT WALKS AND AVERAGE SHORTEST WEIGHTED PATH ON THE WEIGHTED ITERATED FRIENDSHIP GRAPHS	10
GLOBAL ANALYSIS OF DIFFERENT COMPARTMENTS IN A GIVING-UP SMOKING MODEL	10
Numerical solution of a multi-term time fractional viscoelastic non-Newtonian fluid model via a hybrid spectral method	10
FRACTIONAL ANALYSIS OF POPULATION DYNAMICAL MODEL IN (3+1)-DIMENSIONS WITH FRACTAL-FRACTIONAL DERIVATIVES	10