Fractals-Complex Geometry Patterns and Scaling in Nature and Society

Papers
(The median citation count of Fractals-Complex Geometry Patterns and Scaling in Nature and Society is 2. 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 2022-05-01 to 2026-05-01.)
ArticleCitations
HAS THE COVID-19 PANDEMIC AFFECTED THE FLOW OF INFORMATION AMONG CRYPTOCURRENCIES?119
NEW SPECIAL FUNCTIONS APPLIED TO REPRESENT THE WEIERSTRASS–MANDELBROT FUNCTION102
COMPUTATIONAL ADVANCEMENTS IN SPECTRAL METHODS FOR SOLVING FRACTIONAL-ORDER DIFFERENTIAL EQUATIONS99
ANALYSIS AND DYNAMICS OF CHOLERA EPIDEMIC SYSTEM IN SOCIETY VIA FRACTAL-FRACTIONAL OPERATOR81
FRACTAL NETWORKS MODELED BY SOME FRACTAL CARPET63
ON ARITHMETIC PROGRESSIONS IN THE DIGITS OF ENGEL EXPANSIONS58
A NEW FRACTAL TRANSFORM FOR THE APPROXIMATE SOLUTION OF DRINFELD–SOKOLOV–WILSON MODEL WITH FRACTAL DERIVATIVES57
UNREADABLE OFFLINE HANDWRITING SIGNATURE VERIFICATION BASED ON GENERATIVE ADVERSARIAL NETWORK USING LIGHTWEIGHT DEEP LEARNING ARCHITECTURES56
FORECASTING THE COVID-19 USING THE DISCRETE GENERALIZED LOGISTIC MODEL49
INVESTIGATION OF A NONLINEAR MULTI-TERM IMPULSIVE ANTI-PERIODIC BOUNDARY VALUE PROBLEM OF FRACTIONAL q-INTEGRO-DIFFERENCE EQUATIONS46
ANALYSIS OF NEWTON AND HERMITE–HADAMARD-TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES ON FRACTAL SETS USING GENERALIZED PRE-INVEXITY46
TIME-FRACTIONAL DYNAMICS MODEL BLACK–SCHOLES: IMPLICATIONS FOR OPTION PRICING STABILITY45
A REVIEW OF FRACTAL FUNCTIONS AND APPLICATIONS41
CAPUTO-BASED MODEL FOR INCREASING STRAINS OF CORONAVIRUS: THEORETICAL ANALYSIS AND EXPERIMENTAL DESIGN41
ADVANCING DERMATOLOGIC ONCOLOGY USING PARAMETER-REFINED DEEP LEARNING-DRIVEN STRATEGY FOR ENHANCED PRECISION MEDICINE40
A NOVEL COMPUTATIONAL APPROACH FOR FRACTAL NONLINEAR POCHHAMMER–CHREE MODEL40
STOCHASTIC OPTIMAL CONTROL ANALYSIS FOR THE COVID-19 EPIDEMIC MODEL UNDER REAL STATISTICS40
STABILITY AND BIFURCATION ANALYSIS OF A FRACTIONAL-ORDER DELAY DIFFERENTIAL MODEL FOR HEPATITIS B EPIDEMICS39
A d-SUMMABLE APPROACH TO DENG INFORMATION DIMENSION OF COMPLEX NETWORKS39
ON ANALYTICAL AND NUMERICAL SIMULATIONS FOR THE ULTRA-SHORT PULSES MATHEMATICAL MODEL IN OPTICAL FIBERS39
GENERATION AND ROBUSTNESS OF QUANTUM MEMORY-ASSISTED ENTROPIC UNCERTAINTY AND UNCERTAINTY-INDUCED NONLOCALITY OF TWO NITROGEN-VACANCY CENTERS COUPLED BY OPEN TWO NANOCAVITIES38
A NOTE ON CONTROLLABILITY OF NONINSTANTANEOUS IMPULSIVE ATANGANA–BALEANU–CAPUTO NEUTRAL FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS37
FRACTAL ANALYSIS OF STOKES FLOW IN TORTUOUS MICROCHANNELS WITH HYDRAULICALLY ROUGH SURFACES35
ON NUMERICAL AND THEORETICAL FINDINGS FOR FRACTAL-FRACTIONAL ORDER GENERALIZED DYNAMICAL SYSTEM33
FRACTAL BOUNDARY LAYER AND ITS BASIC PROPERTIES32
FRACTIONAL OSTROWSKI TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION WITH APPLICATIONS32
MODELING AND FORECASTING TWO-STRAIN DISEASE AMPLIFICATION DYNAMICS USING MACHINE LEARNING APPROACHES31
SOLVABILITY AND OPTIMAL CONTROL OF A SYSTEM OF SEMILINEAR NONLOCAL FRACTIONAL EVOLUTION INCLUSIONS WITH PARTIAL CLARKE SUBDIFFERENTIAL31
A DISCRETE MEMRISTOR COUPLED TWO-DIMENSIONAL GENERALIZED SQUARE HYPERCHAOTIC MAPS31
NUMERICAL COMPUTING TO SOLVE THE NONLINEAR CORNEAL SYSTEM OF EYE SURGERY USING THE CAPABILITY OF MORLET WAVELET ARTIFICIAL NEURAL NETWORKS31
RECONSTRUCTION OF RANDOM FIBROUS POROUS MATERIAL AND NUMERICAL STUDY ON ITS TRANSPORT PROPERTIES BY FRACTAL MONTE CARLO METHOD31
AN INNOVATIVE ANALYTICAL METHOD FOR SOLVING THE FRACTIONAL CAUDREY DODD GIBBON EQUATION30
Essential Criteria for Proportional Fractional Generalized Hukuhara Differentiability for Goursat Problems with Application in MHD Couple Stress Fluid Flowing Through a Channel Embedded in a Porous Me30
DYNAMICS OF LEPTOSPIROSIS DISEASE IN CONTEXT OF PIECEWISE CLASSICAL-GLOBAL AND CLASSICAL-FRACTIONAL OPERATORS30
HARNESSING PRIVACY-PRESERVING FEDERATED LEARNING WITH BLOCKCHAIN FOR SECURE IOMT APPLICATIONS IN SMART HEALTHCARE SYSTEMS30
PHYSICS-INFORMED DEEP AI SIMULATION FOR FRACTAL INTEGRO-DIFFERENTIAL EQUATION30
ANALYSIS AND COMPACT DIFFERENCE APPROXIMATION FOR FRACTIONAL-ORDER REACTION–DIFFUSION EQUATION WITH A NON-SINGULAR KERNEL: LAPLACE TRANSFORMATION30
A FRACTAL MODEL FOR ELECTRICAL CONDUCTIVITY OF POROUS MEDIA EMBEDDED WITH A BRANCHING TREE-LIKE NETWORK COMPOSED OF CONVERGING-DIVERGING CAPILLARIES29
NUMERICAL ANALYSIS OF A FRACTIONAL MICRO/NANOBEAM-BASED MICRO-ELECTROMECHANICAL SYSTEM28
Finite Difference and Artificial Neural Network Approach of Fractional MHD Casson Fluid Flow Oscillating28
CAPUTO-TYPE FRACTIONAL SYSTEMS WITH VARIABLE ORDER DEPENDING ON THE IMPULSES AND CHANGING THE KERNEL27
PIECEWISE FRACTIONAL-ORDER MODELING OF THE BREAST CANCER EPIDEMIOLOGY AFTER THE ATEZOLIZUMAB TREATMENT27
CONVECTIVE MICROPOLAR HYBRID NANOFLUID MHD DISSIPATIVE FLOW WITH NONUNIFORM HEAT SOURCE AND SLIP CONDITIONS ACROSS A POROUS EXTENDING SURFACE: NUMERICAL APPROACH27
INEQUALITIES FOR FRACTIONAL RIEMANN–LIOUVILLE INTEGRALS VIA MONOTONE FUNCTIONS27
FRACTAL–FRACTIONAL MODEL OF ZOONOTIC DISEASE TRANSMISSION BETWEEN HUMANS AND BABOONS IN THE AL-BAHA REGION WITH APPLICATIONS TO DYNAMICS, TRANSPORT PROCESSES, AND HYERS–ULAM STABILITY ANALYSIS27
A NOTE ON THE INCOMPATIBILITY OF AUTONOMOUS FRACTIONAL DIFFERENTIAL SYSTEMS AND FRACTIONAL DERIVATIVES WITH NON-SINGULAR KERNELS27
ONE, TWO, AND THREE SOLITON AND BREATHER SOLUTIONS FOR A (3 + 1)-DIMENSIONAL TIME-FRACTIONAL KdV–ZK-LIKE EQUATION26
MULTIFRACTAL CHARACTERISTICS OF THE MITOCHONDRIAL BK CHANNEL ACTIVITY IN THE PRESENCE OF THE CHANNEL-ACTIVATING FLAVONOIDS26
STUDY OF PIECEWISE GLOBAL FRACTIONAL FINANCIAL MODEL WITH THREE STATE VARIABLES26
EXISTENCE, UNIQUENESS, HYERS–ULAM STABILITY AND CONTROLLABILITY RESULTS OF INTEGRO-DIFFERENTIAL EQUATIONS RELATED TO THE FRACTIONAL CAPUTO DERIVATIVE26
EDITORIAL SPECIAL ISSUE: PART IV-III-II-I SERIES25
TEMPERED FRACTIONAL HERMITE–HADAMARD-TYPE INEQUALITIES FOR s-CONVEX STOCHASTIC PROCESSES25
PROXIMAL POLICY OPTIMIZATION FOR COLLISION AVOIDANCE AND MOTION PLANNING IN AUTONOMOUS VEHICLES: A MATHEMATICAL MODELING PERSPECTIVE25
A FRACTIONAL-ORDER BOVINE BABESIOSIS EPIDEMIC TRANSMISSION MODEL WITH NONSINGULAR MITTAG-LEFFLER LAW24
NEW BOUNDS FOR q-HADAMARD-TYPE INTEGRAL INEQUALITIES FOR GENERALIZED CONVEX FUNCTIONS WITH APPLICATION24
HOPF BIFURCATION AND GLOBAL STABILITY OF A PREDATOR–PREY MODEL WITH ALTERNATIVE RESOURCE AND CANNIBALISM24
WEAK TANGENTS ON CLOSED POPCORN GRAPHS24
APPLIED LINGUISTICS DRIVEN LARGE LANGUAGE MODEL FOR SARCASM RECOGNITION ON SOCIAL MEDIA CORPORA24
A QUANTUM FRACTALS THEORY OF THE PIONS CHAOS AND THEIR FUTURISTIC APPLICATIONS WITH GRANULAR SOURCES24
A STUDY ON MULTI-STIRLING NUMBERS OF THE FIRST KIND23
A COUPLED NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS USING MODIFIED ABC OPERATOR23
FRACTIONAL OPTIMAL CONTROL FOR THE ANALYTICAL TREATMENT OF MALARIA MODEL23
THE FRACTIONAL ANALYSIS OF (2 + 1)-DIMENSIONAL NONLINEAR TIME-FRACTIONAL ROSENAU–HYMAN MODEL USING NATURAL HOMOTOPY TRANSFORM METHOD23
BÄCKLUND TRANSFORMATION AND DIVERSE EXACT EXPLICIT SOLUTIONS OF THE FRACTAL COMBINED KdV–mKdV EQUATION23
EXACT SOLUTIONS OF THE (1+1)-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION VIA A NOVEL ANALYTICAL APPROACH22
A FRACTAL SOLUTION OF CAMASSA–HOLM AND DEGASPERIS–PROCESI MODELS UNDER TWO-SCALE DIMENSION APPROACH22
ON HIGHLY EFFICIENT SIMULTANEOUS SCHEMES FOR FINDING ALL POLYNOMIAL ROOTS22
NUMERICAL MODELING OF A NOVEL STOCHASTIC CORONAVIRUS22
A 3D FRACTAL MODEL COUPLED WITH TRANSPORT AND ACTION MECHANISMS TO PREDICT THE APPARENT PERMEABILITY OF SHALE MATRIX22
EVALUATION OF SHALE GAS EXPLORATION BY MICROSTRUCTURE BEHAVIOR AND SHALE PERMEABILITY BASED ON FRACTAL THEORY AND UNDER MULTI-FIELD EFFECTS22
VISIBILITY OF NON-SELF-SIMILAR SETS22
LOCAL FRACTIONAL VARIATIONAL ITERATION TRANSFORM METHOD: A TOOL FOR SOLVING LOCAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS22
NUMERICAL SOLUTION OF WAVELET NEURAL NETWORK LEARNING WEIGHTS USING ACCELERATED PARTICLE SWARM OPTIMIZATION ALGORITHM21
QUALITATIVE ANALYSIS OF SEIRS ENDEMIC MODEL BOTH FROM PDEs AND ODEs PERSPECTIVE21
PREFACE: SPECIAL ISSUE ON APPLICATION OF BRAIN-LIKE COMPUTING TO THE MODELING AND SIMULATION OF COMPLEX SYSTEMS — PART II21
Scaling Laws and Multifractal Spectrum Transformation Under Fractional Calculus: Theory and AI-Based Identification21
AN EFFICIENT FRACTAL CARDIO DISEASES ANALYSIS USING OPTIMIZED DEEP LEARNING MODEL IN CLOUD OF THING CONTINUUM ARCHITECTURE21
EXISTENCE AND STABILITY RESULTS OF FRACTIONAL DIFFERENTIAL EQUATIONS MITTAG-LEFFLER KERNEL21
THE THICKNESS AND QUASISYMMETRICAL EQUIVALENCE OF THE SETS DEFINED BY DIGIT RESTRICTIONS21
LIE SYMMETRIES IN NONLINEAR LIQUID FILM FLOW WITH HEAT AND MASS TRANSFER AND VARIABLE MAGNETIC FIELD21
EXPLORING NEW GENERALIZED INEQUALITIES OF FRACTAL-FRACTIONAL INTEGRAL OPERATORS BY MEANS OF GENERALIZED MITTAG-LEFFLER KERNELS AND APPLICATION21
COMPUTATIONAL SOLUTIONS OF FRACTIONAL ELECTRIC SYMMETRIC CIRCUITS BY SUMUDU TRANSFORMATION21
INVESTIGATION OF THE TIME FRACTIONAL GENERALIZED (2 + 1)-DIMENSIONAL ZAKHAROV–KUZNETSOV EQUATION WITH SINGLE-POWER LAW NONLINEARITY20
EXACT SOLUTIONS OF THE LOCAL FRACTIONAL KdV EQUATION WITH DUAL POWER LAW NONLINEARITY ON THE CANTOR SETS20
INVESTIGATING THE RELATIONSHIP BETWEEN PORE CHARACTERISTICS, FRACTAL DIMENSION, AND PERMEABILITY OF LIMESTONE USING HIGH-PRESSURE MERCURY INTRUSION, SEM ANALYSIS, AND BP NEURAL NETWORK20
NUMERICAL ANALYSIS OF NEWLY DEVELOPED FRACTAL-FRACTIONAL MODEL OF CASSON FLUID WITH EXPONENTIAL MEMORY20
ANOMALOUS DIFFUSION MODELS AND MANDELBROT SCALING-LAW SOLUTIONS20
A NEW FRACTAL MODIFIED BENJAMIN–BONA–MAHONY EQUATION: ITS GENERALIZED VARIATIONAL PRINCIPLE AND ABUNDANT EXACT SOLUTIONS20
A NOVEL VARIATIONAL APPROACH TO FRACTAL SWIFT–HOHENBERG MODEL ARISING IN FLUID DYNAMICS20
INVERSE PROBLEM RESOLUTION VIA KOHN–VOGELIUS FORMULATION AND TOPOLOGICAL SENSITIVITY METHOD20
NOVEL RESULTS ON BIFURCATIONS FOR A FRACTIONAL-ORDER NEURAL NETWORK WITH NEUTRAL DELAYS20
HEAT AND MASS TRANSFER INVESTIGATION OF THIRD-GRADE WILLIAMSON–CASSON HYBRID NANOFLUID MODEL IN DARCY-FORCHHEIMER POROUS MEDIUM ACROSS EXPONENTIAL STRETCHING SURFACE INFLUENCED BY VISCOUS DISSIPATION19
STABILITY ANALYSIS OF AN ????ℰℐ????ℛ EPIDEMIC MODEL WITH SATURATED INCIDENCE RATE USING FRACTAL-FRACTIONAL ORDER TECHNIQUES19
HIGHLIGHTING COMPLEX UNCERTAINTIES IN AN SIRS-INFECTION SPREADING SYSTEM19
MEMORY EFFECT ANALYSIS USING PIECEWISE CUBIC B-SPLINE OF TIME FRACTIONAL DIFFUSION EQUATION19
OPTICAL SOLUTIONS WITH KUDRYASHOV’S ARBITRARY TYPE OF GENERALIZED NON-LOCAL NONLINEARITY AND REFRACTIVE INDEX VIA KUDRYASHOV AUXILIARY EQUATION METHOD19
HOMOTOPY PERTURBATION METHOD FOR FRACTAL DUFFING OSCILLATOR WITH ARBITRARY CONDITIONS19
THE FORMATION OF EXACT TRAVELING FERROMAGNETIC WAVES AND MATHEMATICALLY FORECASTING OF NONLINEAR DYNAMICAL PROPAGATION19
A LOAD BALANCE PERSONALIZED PATH FINDING WITH MULTIPLE-AGENT DEEP REINFORCEMENT LEARNING19
AUTOMATED MULTI-DIALECT SPEECH RECOGNITION USING STACKED ATTENTION-BASED DEEP LEARNING WITH NATURAL LANGUAGE PROCESSING MODEL19
HOW EFFICIENT ARE SUSTAINABILITY-ORIENTED EQUITY MARKETS UNDER GEOPOLITICAL AND CLIMATE RISK? EVIDENCE FROM ENTROPY AND MULTIFRACTAL ANALYSIS18
INVESTIGATION OF FINANCIAL BUBBLE MATHEMATICAL MODEL UNDER FRACTAL-FRACTIONAL CAPUTO DERIVATIVE18
AN ECOSYSTEM MODEL WITH MEMORY EFFECT CONSIDERING GLOBAL WARMING PHENOMENA AND AN EXPONENTIAL FEAR FUNCTION18
FURTHER ON OPIAL TYPE INTEGRAL INEQUALITIES FOR SUPERQUADRATIC FUNCTIONS18
ZAGREB ECCENTRICITY INDEX OF LEVEL-n SIERPINSKI GASKET18
INTEGRAL SOLUTIONS OF AN INITIAL VALUE PROBLEM OF FRACTIONAL DYNAMIC EQUATIONS ON TIME SCALE18
DISCRETE HERMITE–HADAMARD-TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION18
CHAOTIC BEHAVIOR OF MODIFIED STRETCH–TWIST–FOLD FLOW UNDER FRACTAL-FRACTIONAL DERIVATIVES18
A DELAYED MALWARE PROPAGATION MODEL FOR CLOUD COMPUTING SECURITY18
NOVEL BRIGHT AND KINK OPTICAL SOLITON SOLUTIONS OF FRACTIONAL LAKSHMANAN–PORSEZIAN–DANIEL EQUATION WITH KERR LAW NONLINEARITY IN CONFORMABLE SENSE18
RESULTS ON TRICOMPLEX PARTIAL METRIC SPACES AND THEIR APPLICATION IN THE NONLINEAR BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER18
FRACTAL CHARACTERISTICS OF CORE DISKING FRACTURE SURFACES18
FRACTIONAL-ORDER NEWTON–RAPHSON METHOD FOR NONLINEAR EQUATION WITH CONVERGENCE AND STABILITY ANALYSES18
ON THE FINITE DELAYED FRACTIONAL DIFFERENTIAL EQUATION VIA THE WEIGHTED RIEMANN–LIOUVILLE DERIVATIVE OF VARIABLE ORDER18
MATHEMATICAL MODELING AND STABILITY ANALYSIS OF THE DYNAMICS OF MONKEYPOX VIA FRACTIONAL-CALCULUS18
UNIFORM CONTINUITY OF FRACTIONAL ORDER INTEGRAL OF FRACTAL INTERPOLATION FUNCTION18
BOX DIMENSION AND MIXED FRACTIONAL CALCULUS OF FRACTAL INTERPOLATION SURFACES18
COMPUTATIONAL INSIGHTS INTO ARABIC PROPAGANDA: AN INTEGRATION OF CORPUS LINGUISTICS WITH DEEP LEARNING APPROACH18
OPTIMAL EXISTENCE AND SOLITARY WAVE STRUCTURE OF GIERER–MEINHARDT ACTIVATOR–SUBSTRATE MODEL17
TANGENT MEASURES OF NON-HOMOGENEOUS CANTOR SETS SATISFYING THE STRONG SEPARATION CONDITION17
CONSTRUCTION OF CLOSED FORM SOLITON SOLUTIONS TO THE SPACE-TIME FRACTIONAL SYMMETRIC REGULARIZED LONG WAVE EQUATION USING TWO RELIABLE METHODS17
ANALYTIC SOLUTION OF ONE-DIMENSIONAL FRACTIONAL GLYCOLYSIS MODEL17
ANALYSIS SEQUENTIAL FRACTIONAL DIFFERENCES AND RELATED MONOTONICITY RESULTS17
NUCLEAR MAGNETIC RESONANCE EXPERIMENTS ON ENHANCED OIL RECOVERY BY CO 2 FLOODING IN TIGHT RESERVOIRS17
ASSESSMENT OF SECTOR BOND, EQUITY INDICES AND GREEN BOND INDEX USING INFORMATION THEORY QUANTIFIERS AND CLUSTERS TECHNIQUES17
A NOVEL ANALYTICAL APPROACH TO FRACTAL NONLINEAR DISPERSIVE MODEL WITH VARIABLE COEFFICIENTS17
TANGENT MEASURES ON HOMOGENEOUS CANTOR SETS ON ℝ SATISFYING THE CONVEX OPEN SET CONDITION17
EFFECT OF OCCASIONAL HEROIN CONSUMERS ON THE SPREAD OF HEROIN ADDICTION17
A FRACTAL-MONTE CARLO APPROACH TO SIMULATE KOZENY–CARMAN CONSTANT OF ROUGHENED FIBROUS POROUS MEDIA17
FRACTAL DIMENSION VARIATION OF CONTINUOUS FUNCTIONS UNDER CERTAIN OPERATIONS17
AUTOMATING METER CLASSIFICATION OF ARABIC POEMS: A HARRIS HAWKS OPTIMIZATION WITH DEEP LEARNING PERSPECTIVE17
EXACT TRAVELING WAVE SOLUTIONS OF THE COUPLED LOCAL FRACTIONAL NONLINEAR SCHRÖDINGER EQUATIONS FOR OPTICAL SOLITONS ON CANTOR SETS16
ON THE ALGEBRAIC FOUNDATION OF THE MANDELBULB16
EXPLORING FRACTIONAL HERMITE–HADAMARD INCLUSIONS IN UP–DOWN FUZZY MECHANISM ASSOCIATED WITH MULTIPLE HARMONIC CONVEXITIES16
PREDICTING INTENSIVE CARE UNIT READMISSION AMONG PATIENTS AFTER LIVER TRANSPLANTATION USING MACHINE LEARNING16
SIGNIFICANT FINDINGS CONCERNING A SPECIFIC CLASS OF STOCHASTIC DIFFERENTIAL EQUATIONS WITH FRACTIONAL-ORDER16
AN EXTENDED LAPLACE INTEGRAL TRANSFORM AND ITS APPLICATIONS16
EXPLORING THE IMPACT OF PARAMETERS ON FRACTIONAL SOLITON SOLUTIONS TO THE TRUNCATED DATE–JIMBO–KASHIWARA–MIWA EQUATION16
A MATHEMATICAL MODEL FOR CONTROLLING THE ALCOHOL ADDICTION: STABILITY AND NUMERICAL ANALYSIS16
FRACTAL-FRACTIONAL MODEL FOR AGGLOMERATE-STRUCTURED MATERIALS IN 3D PRINTING PROCESS AND ITS VARIATIONAL FORMULATION16
APPRAISAL OF ANALYTICAL SOLUTIONS FOR (2 + 1)-DIMENSIONAL NONLINEAR CHIRAL SCHRÖDINGER EQUATION16
STUDY ON NONLINEAR FRACTIONAL ORDER CONFORMABLE MODEL OF INFECTIOUS DISEASE USING UPDATED ANALYTICAL TECHNIQUES16
MIXED-NOISE REMOVAL WITH COUPLED NONLOCAL FRACTAL PRIOR AND DEEP IMAGE PRIOR FOR HIGH-DIMENSIONAL IMAGES16
AN INNOVATIVE NUMERICAL APPROACH FOR TWO-TERM TIME-FRACTIONAL DIFFUSION WAVE EQUATION16
OPTICAL SOLITON SOLUTION OF THE BENNEY–ROSKES ZAKHAROV–RUBENCHIK SYSTEMS16
FRACTIONAL MODELING AND NUMERICAL SIMULATION FOR UNFOLDING MARBURG–MONKEYPOX VIRUS CO-INFECTION TRANSMISSION16
YOLO EXPERT SYSTEM FOR REAL-TIME PATTERN RECOGNITION USING DRONES ON WIND FARM TURBINE15
ANALYSIS AND IMPLEMENTATION OF NUMERICAL SCHEME FOR THE VARIABLE-ORDER FRACTIONAL MODIFIED SUB-DIFFUSION EQUATION15
MULTIFRACTAL CHARACTERIZATION OF THE INHOMOGENEOUS STRAIN EVOLUTION OF THE DEHYDRATED COAL: INSIGHT FROM COAL MICROSTRUCTURE15
SYSTEMS OF NONLINEAR DELAY INTEGRAL EQUATIONS: POSITIVE SOLUTIONS, COMPARISON THEOREMS, AND DATA DEPENDENCE15
FRACTAL DIMENSIONS OF THE LOGARITHM OF CONTINUOUS FUNCTIONS15
A FRACTAL-BASED OIL TRANSPORT MODEL WITH UNCERTAINTY REDUCTION FOR A MULTI-SCALE SHALE PORE SYSTEM15
EXPLORING CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES: A MULTI-PARAMETER APPROACH15
VARIATIONAL ANALYSIS FOR FRACTIONAL EQUATIONS WITH VARIABLE EXPONENTS: EXISTENCE, MULTIPLICITY AND NONEXISTENCE RESULTS15
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 H15
COMPLEX NETWORKS MODELED ON A KIND OF SIERPIŃSKI-LIKE CARPET15
NON-EXISTENCE OF GLOBAL SOLUTIONS TO A SYSTEM OF FRACTIONALLY DAMPED FRACTIONAL DIFFERENTIAL PROBLEMS15
FRACTIONAL CORONAVIRUS MATHEMATICAL MODEL: NUMERICAL AND THEORETICAL TREATMENTS15
ENGINEERING GEOMETRIC PHASE AND CORRELATION DYNAMICS OF NITROGEN VACANCIES IN DIAMOND INTERACTING WITH TWO NANOCAVITIES15
FRACTAL ORACLE NUMBERS15
UNDERSTANDING THE ROLE OF MOVABLE OIL IN THE COMPLEXITY OF SHALE PORE STRUCTURES BASED ON FRACTAL THEORY15
COMPLEXITY-BASED ANALYSIS OF THE VARIATIONS OF THE BRAIN’S REACTIONS IN DIFFERENT TYPES OF LOCOMOTIONS14
ON GENERAL LOCAL FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED H-PREINVEX FUNCTIONS ON YANG’S FRACTAL SETS14
HERMITE WAVELET METHOD FOR APPROXIMATE SOLUTION OF HIGHER ORDER BOUNDARY VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS14
ON SELF-SIMILARITY OF QUADRANGLE14
FAST AND ACCURATE POPULATION FORECASTING WITH TWO-SCALE FRACTAL POPULATION DYNAMICS AND ITS APPLICATION TO POPULATION ECONOMICS14
FRACTIONAL DYNAMICS OF CHRONIC LYMPHOCYTIC LEUKEMIA WITH THE EFFECT OF CHEMOIMMUNOTHERAPY TREATMENT14
A FRACTAL-FRACTIONAL TSUNAMI MODEL CONSIDERING NEAR-SHORE FRACTAL BOUNDARY14
SOME NEW INTEGRAL INEQUALITIES OF OSTROWSKI TYPE BY INCORPORATING THE ATANGANA–BALEANU FRACTIONAL INTEGRAL OPERATOR14
A STUDY OF FRACTAL DUAL MOMENTUM INVESTMENT STRATEGY UNDER THE CONSTRAINT OF MULTI-FRACTAL CHARACTERISTICS OF STOCK MARKET14
THEORETICAL ANALYSIS OF MHD DARCY–FORCHHEIMER POROUS MEDIA FOR HYBRID NANOMATERIAL FLOW WITH THIRD-GRADE FLUID OVER AN EXPONENTIAL STRETCHING SHEET14
COLOR IMAGE ENCRYPTION THROUGH MULTI-S-BOX GENERATED BY HYPERCHAOTIC SYSTEM AND MIXTURE OF PIXEL BITS14
A NOVEL TEMPERED FRACTIONAL TRANSFORM: THEORY, PROPERTIES AND APPLICATIONS TO DIFFERENTIAL EQUATIONS14
DYNAMICAL ANALYSIS OF THE SOLITON SOLUTIONS FOR THE NONLINEAR FRACTIONAL AKBOTA EQUATION14
PULL-IN STABILITY OF A FRACTAL MEMS SYSTEM AND ITS PULL-IN PLATEAU14
FUZZY FRACTIONAL ORDER SLIDING MODE CONTROL FOR OPTIMAL ENERGY CONSUMPTION-TRANSIENT RESPONSE TRADE-OFF IN ROBOTIC SYSTEMS14
IMPLEMENTATION OF MULTI-FOLDED TORUS ATTRACTORS VIA A PIECEWISE SYSTEM WITH A PIECEWISE LINEAR ODD FUNCTION14
REPRODUCING KERNEL HILBERT SPACES OF FRACTAL INTERPOLATION FUNCTIONS FOR CURVE FITTING PROBLEMS13
LOVE DYNAMICAL MODEL WITH PERSPECTIVES OF PIECEWISE DIFFERENTIAL OPERATORS13
THE PROLIFERATION OF COVID-19 IN SAUDI ARABIA ACCORDING TO GOMPERTZ MODEL13
THE FRACTAL AND PIECEWISE STRUCTURE OF SOME CHAOTIC NEURAL NETWORKS USING A GENERALIZED MODEL13
RESEARCH ON THE MECHANICAL CHARACTERISTICS OF LAMINATED SHALE BASED ON SCRATCH TESTS13
FRACTAL CHARACTERIZATION ON THREE-DIMENSIONAL FRACTUR TORTUOSITY IN COAL BASED ON CT SCANNING13
SOME IDENTITIES OF FULLY DEGENERATE DOWLING AND FULLY DEGENERATE BELL POLYNOMIALS ARISING FROM λ-UMBRAL CALCULUS13
APPROXIMATION WITH FRACTAL FUNCTIONS BY FRACTAL DIMENSION13
SOME NEW TYPES OF GRONWALL-BELLMAN INEQUALITY ON FRACTAL SET13
A VARIATIONAL PRINCIPLE OF THE NONLINEAR SCHRÖDINGER EQUATION WITH FRACTAL DERIVATIVES13
MULTIFRACTAL MODELING OF GAS–WATER RELATIVE PERMEABILITY CONSIDERING MULTISCALE AND MULTIEFFECTS: INVESTIGATION OF UNCONVENTIONAL GAS DEVELOPMENT13
APPLICATION OF HOSOYA POLYNOMIAL TO SOLVE A CLASS OF TIME-FRACTIONAL DIFFUSION EQUATIONS13
MATHEMATICAL MODELING OF PSYCHOLOGICAL DISEASE BY USING ARTIFICIAL INTELLIGENCE TOOLS13
ON MILNE-TYPE INEQUALITIES VIA KATUGAMPOLA FRACTIONAL MULTIPLICATIVE INTEGRALS13
DYNAMICS OF OPTICAL WAVE PROFILES TO THE FRACTIONAL THREE-COMPONENT COUPLED NONLINEAR SCHRÖDINGER EQUATION13
NEW FRACTAL SOLITON SOLUTIONS FOR THE COUPLED FRACTIONAL KLEIN–GORDON EQUATION WITH β-FRACTIONAL DERIVATIVE13
MATHEMATICAL ANALYSIS VIA PIECEWISE FRACTIONAL-ORDER DYNAMICAL SYSTEM TO ANALYZE TYPHOID FEVER DISEASE13
TWO-DIMENSIONAL FRACTIONAL EULER POLYNOMIALS METHOD FOR FRACTIONAL DIFFUSION-WAVE EQUATIONS12
CONFORMABLE DERIVATIVES IN VISCOUS FLOW DESCRIBING FLUID THROUGH POROUS MEDIUM WITH VARIABLE PERMEABILITY12
A MATHEMATICAL MODEL FOR NIPAH VIRUS DISEASE BY USING PIECEWISE FRACTIONAL ORDER CAPUTO DERIVATIVE12
QUANTIFYING ROUGH FRACTURE BEHAVIORS IN GAS-BEARING COAL SEAM: A FULLY COUPLED FRACTAL ANALYSIS12
LOCAL GEOMETRY OF SELF-SIMILAR SETS: TYPICAL BALLS, TANGENT MEASURES AND ASYMPTOTIC SPECTRA12
DESIGN AND IMPLEMENTATION OF FUZZY-FRACTIONAL WU–ZHANG SYSTEM USING HE–MOHAND ALGORITHM12
NONLOCAL LOW RANK REGULARIZATION METHOD FOR FRACTAL IMAGE CODING UNDER SALT-AND-PEPPER NOISE12
A NEW MODEL OF GAS–WATER TWO-PHASE SEEPAGE BASED ON THE FRACTAL STRUCTURE OF COAL FRACTURE–PORE12
ANALYSIS OF FRACTIONAL DIFFERENTIAL EQUATIONS IN HIGHER-DIMENSIONAL COMPLEX SYSTEM WITH PROPORTIONAL DELAY, DISCRETE TERM, AND NONLINEAR COUPLING: APPLICATIONS IN A BIOLOGICAL MODEL AND POROUS MEDIA12
A CONVERGENCE ANALYSIS OF THE MOBILE–IMMOBILE ADVECTION–DISPERSION MODEL OF TEMPORAL FRACTIONAL ORDER ARISING IN WATERSHED CATCHMENTS AND RIVERS12
A MODIFIED OPERATIONAL MATRIX METHOD FOR INVESTIGATION OF THE NONLINEAR DYNAMICS OF FRACTIONAL SYSTEMS12
MOTION TARGET MONITORING AND RECOGNITION IN VIDEO SURVEILLANCE USING CLOUD–EDGE–IOT AND MACHINE LEARNING TECHNIQUES12
A FINGERPRINT REMOVAL METHOD BASED ON FRACTAL–CRIMINISI TECHNOLOGY12
FRACTIONAL ANALYSIS OF POPULATION DYNAMICAL MODEL IN (3+1)-DIMENSIONS WITH FRACTAL-FRACTIONAL DERIVATIVES12
ANALYTICAL ANALYSIS OF FRACTIONAL DAMPED BURGERS’ EQUATION USING CAPUTO DERIVATIVE IN FLUID AND PLASMA FIELDS12
A NOVEL FRACTAL COSINE PORE-THROAT CHAIN MODEL FOR STREAMING POTENTIAL COEFFICIENT IN POROUS MEDIA COMPOSED OF CHARGED SOLID PARTICLES12
NUMERICAL ANALYSIS OF WILLIAMSON NANOFLUID FLOW OVER A STRETCHED SHEET IN A POROUS MEDIUM WITH RADIATION AND HEAT SOURCE/SINK EFFECTS12
A NUMERICAL STUDY ON THE DYNAMICS OF DENGUE DISEASE MODEL WITH FRACTIONAL PIECEWISE DERIVATIVE12
IMPLEMENTING THREE-QUBIT GROVER’S ALGORITHM USING REAL QUANTUM PLATFORMS11
PREFACE — SPECIAL ISSUE ON FRACTALS AND LOCAL FRACTIONAL CALCULUS: RECENT ADVANCES AND FUTURE CHALLENGES11
FRACTAL MODEL FOR EFFECTIVE THERMAL CONDUCTIVITY OF COMPOSITE MATERIALS EMBEDDED WITH A DAMAGED TREE-LIKE BIFURCATION NETWORK11
ON THE NEW k-BIVARIATE MITTAG-LEFFLER FUNCTION11
VARIATIONAL PRINCIPLES FOR FRACTAL BOUSSINESQ-LIKE B(m,n) EQUATION11
Fractal Scaling Laws and Asymptotic Behavior for Schwarz Domain Decomposition of Parabolic Hamilton-Jacobi-Bellman with AI-Driven Adaptivity11
FRACTIONAL CALCULUS OPERATORS–BLOCH–TORREY PARTIAL DIFFERENTIAL EQUATION–ARTIFICIAL NEURAL NETWORKS–COMPUTATIONAL COMPLEXITY MODELING OF THE MICRO–MACROSTRUCTURAL BRAIN TISSUES WITH DIFFUSION MRI SIGN11
COMPLEXITY-BASED ANALYSIS OF THE VARIATIONS IN THE BRAIN RESPONSE OF PORN-ADDICTED AND HEALTHY INDIVIDUALS UNDER DIFFERENT FUNCTION TASKS11
NUMERICAL SOLUTION OF A MULTI-TERM TIME-FRACTIONAL VISCOELASTIC NON-NEWTONIAN FLUID MODEL VIA A HYBRID SPECTRAL METHOD11
DIURNAL VARIATION OF NEAR-SURFACE WIND SPEED: MULTIFRACTAL ANALYSIS11
WEIGHT-DEPENDENT WALKS AND AVERAGE SHORTEST WEIGHTED PATH ON THE WEIGHTED ITERATED FRIENDSHIP GRAPHS11
THE MODIFIED VARIATIONAL PRINCIPLES OF THE FRACTAL ROSENAU–BURGERS EQUATION11
A HIGH ORDER NUMERICAL SCHEME FOR FRACTAL-FRACTIONAL LASER SYSTEM WITH CHAOS STUDY11
ON MULTIPLICATIVE (s,P)-CONVEXITY AND RELATED FRACTIONAL INEQUALITIES WITHIN MULTIPLICATIVE CALCULUS11
GEODESIC DISTANCES ON SIERPINSKI-LIKE SPONGES AND THEIR SKELETON NETWORKS11
AUTOMATED INDOOR ACTIVITY MONITORING FOR ELDERLY AND VISUALLY IMPAIRED PEOPLE USING QUANTUM SALP SWARM ALGORITHM WITH MACHINE LEARNING11
HAUSDORFF DIMENSION OF A CLASS OF COLORED SUBSTITUTION NETWORKS11
EXPLORING INSECTS FREE FLIGHT: ENHANCING THE DIPTERAN FLIGHT MODEL TO INCLUDE FRACTAL EFFECTS10
APPLICATION OF FRACTAL-FRACTIONAL OPERATORS TO FRACTIONAL CHAOTIC SYSTEMS: INSIGHTS INTO COMPLEX DYNAMICS10
HERMITE–HADAMARD–FEJÉR-TYPE INEQUALITIES VIA KATUGAMPOLA FRACTIONAL INTEGRALS FOR S-CONVEX FUNCTIONS IN THE SECOND SENSE10
CLOUD-EDGE CONTINUUM FRAMEWORK FOR ADMISSION DATA MANAGEMENT USING DEEP LEARNING MODEL10
ON SOME NEW HERMITE–HADAMARD–MERCER-TYPE INEQUALITIES THROUGH SEPARABLE SEQUENCES AND CAPUTO FRACTIONAL OPERATORS10
OUTLINING GUIDELINES FOR THE APPLICATION OF THE MF-DCCA IN FINANCIAL TIME SERIES: NON-STATIONARY VERSUS STATIONARY10
APPLICABILITY OF FRACTALS-FRACTIONAL ANALYSIS TO INVESTIGATE ROTAVIRUSES DISEASE MODEL WITH NONLINEAR INCIDENCE RATE10
THRESHOLD DYNAMICS AND BIFURCATION ANALYSIS OF THE EPIDEMIC MODEL OF MERS-CoV10
THE APPLICATION OF FRACTAL THEORY IN MARKETING: WHAT CAN WE DO?10
STRESS-DEPENDENT MODELS FOR PERMEABILITY AND POROSITY OF FRACTURED ROCK BASED ON FRACTAL THEORY10
TRAPPING PROBLEM OF HONEYPOTS ON FRACTAL NETWORKS WITH THE STURMIAN STRUCTURE10
MULTIFRACTAL ANALYSIS OF INHOMOGENEOUS MULTINOMIAL MEASURES WITH NON-DOUBLING PROJECTIONS10
A NOVEL MONTE CARLO SIMULATION ON THE ELECTRICAL CONDUCTIVITY OF FRACTAL POROUS MEDIA10
SMART SURVEILLANCE: ADVANCED DEEP LEARNING-BASED VEHICLE DETECTION AND TRACKING MODEL ON UAV IMAGERY10
A NUMERICAL ANALYSIS OF NABLA DISCRETE OPERATOR: TO INVESTIGATE PREY–PREDATOR MODEL10
WAVE PROPAGATION AND MAGNETIC ORDERING IN FERROMAGNETIC MATERIALS10
AUTOMATED GESTURE RECOGNITION USING ARTIFICIAL RABBITS OPTIMIZATION WITH DEEP LEARNING FOR ASSISTING VISUALLY CHALLENGED PEOPLE10
GLOBAL ANALYSIS OF DIFFERENT COMPARTMENTS IN A GIVING-UP SMOKING MODEL10
CLIMATE CHANGE IMPACTS ON TRI-TROPHIC PREDATOR–PREY MODEL OF THE INTERACTIONS BETWEEN WOLVES, UNGULATES, AND PLANTS10
A NEW BIVARIATE TEMOM METHOD FOR THE FRACTAL-LIKE AGGLOMERATE BROWNIAN COAGULATION10
HADAMARD FRACTIONAL CALCULUS ON TIME SCALES10
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