Fractals-Complex Geometry Patterns and Scaling in Nature and Society

Article	Citations
NEW SPECIAL FUNCTIONS APPLIED TO REPRESENT THE WEIERSTRASS–MANDELBROT FUNCTION	122
COMPUTATIONAL ADVANCEMENTS IN SPECTRAL METHODS FOR SOLVING FRACTIONAL-ORDER DIFFERENTIAL EQUATIONS	83
ANALYSIS AND DYNAMICS OF CHOLERA EPIDEMIC SYSTEM IN SOCIETY VIA FRACTAL-FRACTIONAL OPERATOR	64
ON ARITHMETIC PROGRESSIONS IN THE DIGITS OF ENGEL EXPANSIONS	60
UNREADABLE OFFLINE HANDWRITING SIGNATURE VERIFICATION BASED ON GENERATIVE ADVERSARIAL NETWORK USING LIGHTWEIGHT DEEP LEARNING ARCHITECTURES	57
FORECASTING THE COVID-19 USING THE DISCRETE GENERALIZED LOGISTIC MODEL	49
INVESTIGATION OF A NONLINEAR MULTI-TERM IMPULSIVE ANTI-PERIODIC BOUNDARY VALUE PROBLEM OF FRACTIONAL q-INTEGRO-DIFFERENCE EQUATIONS	47
ADVANCING DERMATOLOGIC ONCOLOGY USING PARAMETER-REFINED DEEP LEARNING-DRIVEN STRATEGY FOR ENHANCED PRECISION MEDICINE	45
A NOVEL COMPUTATIONAL APPROACH FOR FRACTAL NONLINEAR POCHHAMMER–CHREE MODEL	45
STOCHASTIC OPTIMAL CONTROL ANALYSIS FOR THE COVID-19 EPIDEMIC MODEL UNDER REAL STATISTICS	43
A d-SUMMABLE APPROACH TO DENG INFORMATION DIMENSION OF COMPLEX NETWORKS	41
GENERATION AND ROBUSTNESS OF QUANTUM MEMORY-ASSISTED ENTROPIC UNCERTAINTY AND UNCERTAINTY-INDUCED NONLOCALITY OF TWO NITROGEN-VACANCY CENTERS COUPLED BY OPEN TWO NANOCAVITIES	40
FRACTAL ANALYSIS OF STOKES FLOW IN TORTUOUS MICROCHANNELS WITH HYDRAULICALLY ROUGH SURFACES	39
A NOTE ON CONTROLLABILITY OF NONINSTANTANEOUS IMPULSIVE ATANGANA–BALEANU–CAPUTO NEUTRAL FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS	39
FRACTAL BOUNDARY LAYER AND ITS BASIC PROPERTIES	37
ON NUMERICAL AND THEORETICAL FINDINGS FOR FRACTAL-FRACTIONAL ORDER GENERALIZED DYNAMICAL SYSTEM	37
FRACTIONAL OSTROWSKI TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION WITH APPLICATIONS	35
RECONSTRUCTION OF RANDOM FIBROUS POROUS MATERIAL AND NUMERICAL STUDY ON ITS TRANSPORT PROPERTIES BY FRACTAL MONTE CARLO METHOD	34
A FRACTAL MODEL FOR ELECTRICAL CONDUCTIVITY OF POROUS MEDIA EMBEDDED WITH A BRANCHING TREE-LIKE NETWORK COMPOSED OF CONVERGING-DIVERGING CAPILLARIES	33
PHYSICS-INFORMED DEEP AI SIMULATION FOR FRACTAL INTEGRO-DIFFERENTIAL EQUATION	33
DYNAMICS OF LEPTOSPIROSIS DISEASE IN CONTEXT OF PIECEWISE CLASSICAL-GLOBAL AND CLASSICAL-FRACTIONAL OPERATORS	32
ANALYSIS AND COMPACT DIFFERENCE APPROXIMATION FOR FRACTIONAL-ORDER REACTION–DIFFUSION EQUATION WITH A NON-SINGULAR KERNEL: LAPLACE TRANSFORMATION	32
FINITE DIFFERENCE AND ARTIFICIAL NEURAL NETWORK APPROACH TO FRACTIONAL MHD CASSON FLUID FLOW OSCILLATION	32
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 ME	31
A NEW FRACTAL TRANSFORM FOR THE APPROXIMATE SOLUTION OF DRINFELD–SOKOLOV–WILSON MODEL WITH FRACTAL DERIVATIVES	31

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 ANALYSIS	31
TIME-FRACTIONAL DYNAMICS MODEL BLACK–SCHOLES: IMPLICATIONS FOR OPTION PRICING STABILITY	30
A PENALIZATION METHOD FOR A TIME-FRACTIONAL DIFFERENTIAL CONTACT PROBLEM WITH UNILATERAL CONSTRAINTS AND COULOMB FRICTION	30
NUMERICAL ANALYSIS OF A FRACTIONAL MICRO/NANOBEAM-BASED MICRO-ELECTROMECHANICAL SYSTEM	29
A DISCRETE MEMRISTOR COUPLED TWO-DIMENSIONAL GENERALIZED SQUARE HYPERCHAOTIC MAPS	29
HARNESSING PRIVACY-PRESERVING FEDERATED LEARNING WITH BLOCKCHAIN FOR SECURE IOMT APPLICATIONS IN SMART HEALTHCARE SYSTEMS	29
Erratum — MATHEMATICAL AND COMPUTATIONAL ANALYSES OF ROTAVIRUS EPIDEMICS MODEL UNDER CONFORMABLE FRACTIONAL DERIVATIVE	29
A REVIEW OF FRACTAL FUNCTIONS AND APPLICATIONS	29
ANALYSIS OF NEWTON AND HERMITE–HADAMARD-TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES ON FRACTAL SETS USING GENERALIZED PRE-INVEXITY	28
MODELING AND FORECASTING TWO-STRAIN DISEASE AMPLIFICATION DYNAMICS USING MACHINE LEARNING APPROACHES	28
STABILITY AND BIFURCATION ANALYSIS OF A FRACTIONAL-ORDER DELAY DIFFERENTIAL MODEL FOR HEPATITIS B EPIDEMICS	28
SOLVABILITY AND OPTIMAL CONTROL OF A SYSTEM OF SEMILINEAR NONLOCAL FRACTIONAL EVOLUTION INCLUSIONS WITH PARTIAL CLARKE SUBDIFFERENTIAL	27
CONVECTIVE MICROPOLAR HYBRID NANOFLUID MHD DISSIPATIVE FLOW WITH NONUNIFORM HEAT SOURCE AND SLIP CONDITIONS ACROSS A POROUS EXTENDING SURFACE: NUMERICAL APPROACH	27
AN INNOVATIVE ANALYTICAL METHOD FOR SOLVING THE FRACTIONAL CAUDREY DODD GIBBON EQUATION	27
INEQUALITIES FOR FRACTIONAL RIEMANN–LIOUVILLE INTEGRALS VIA MONOTONE FUNCTIONS	26
A NOTE ON THE INCOMPATIBILITY OF AUTONOMOUS FRACTIONAL DIFFERENTIAL SYSTEMS AND FRACTIONAL DERIVATIVES WITH NON-SINGULAR KERNELS	26
CAPUTO-TYPE FRACTIONAL SYSTEMS WITH VARIABLE ORDER DEPENDING ON THE IMPULSES AND CHANGING THE KERNEL	26
PIECEWISE FRACTIONAL-ORDER MODELING OF THE BREAST CANCER EPIDEMIOLOGY AFTER THE ATEZOLIZUMAB TREATMENT	25
EDITORIAL SPECIAL ISSUE: PART IV-III-II-I SERIES	25
NEW BOUNDS FOR q-HADAMARD-TYPE INTEGRAL INEQUALITIES FOR GENERALIZED CONVEX FUNCTIONS WITH APPLICATION	25
EXISTENCE, UNIQUENESS, HYERS–ULAM STABILITY AND CONTROLLABILITY RESULTS OF INTEGRO-DIFFERENTIAL EQUATIONS RELATED TO THE FRACTIONAL CAPUTO DERIVATIVE	25
STUDY OF PIECEWISE GLOBAL FRACTIONAL FINANCIAL MODEL WITH THREE STATE VARIABLES	25
WEAK TANGENTS ON CLOSED POPCORN GRAPHS	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
TEMPERED FRACTIONAL HERMITE–HADAMARD-TYPE INEQUALITIES FOR s-CONVEX STOCHASTIC PROCESSES	25
HOPF BIFURCATION AND GLOBAL STABILITY OF A PREDATOR–PREY MODEL WITH ALTERNATIVE RESOURCE AND CANNIBALISM	24
SCALING LAWS AND MULTIFRACTAL SPECTRUM TRANSFORMATION UNDER FRACTIONAL CALCULUS: THEORY AND AI-BASED IDENTIFICATION	24
APPLIED LINGUISTICS DRIVEN LARGE LANGUAGE MODEL FOR SARCASM RECOGNITION ON SOCIAL MEDIA CORPORA	24
A 3D FRACTAL MODEL COUPLED WITH TRANSPORT AND ACTION MECHANISMS TO PREDICT THE APPARENT PERMEABILITY OF SHALE MATRIX	24
A FRACTIONAL-ORDER BOVINE BABESIOSIS EPIDEMIC TRANSMISSION MODEL WITH NONSINGULAR MITTAG-LEFFLER LAW	24
FRACTIONAL OPTIMAL CONTROL FOR THE ANALYTICAL TREATMENT OF MALARIA MODEL	23
A COUPLED NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS USING MODIFIED ABC OPERATOR	23
BÄCKLUND TRANSFORMATION AND DIVERSE EXACT EXPLICIT SOLUTIONS OF THE FRACTAL COMBINED KdV–mKdV EQUATION	22
EXACT SOLUTIONS OF THE (1+1)-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION VIA A NOVEL ANALYTICAL APPROACH	22
A STUDY ON MULTI-STIRLING NUMBERS OF THE FIRST KIND	22
EVALUATION OF SHALE GAS EXPLORATION BY MICROSTRUCTURE BEHAVIOR AND SHALE PERMEABILITY BASED ON FRACTAL THEORY AND UNDER MULTI-FIELD EFFECTS	22
VISIBILITY OF NON-SELF-SIMILAR SETS	22
A FRACTAL SOLUTION OF CAMASSA–HOLM AND DEGASPERIS–PROCESI MODELS UNDER TWO-SCALE DIMENSION APPROACH	21
PROPAGATION OF OPTICAL WAVE STRUCTURES TO THE MONO-MODE FIBER OPTICS MODELED BY THE FRACTIONAL (2+1)-DIMENSIONAL FOKAS SYSTEM	21
ONE, TWO, AND THREE SOLITON AND BREATHER SOLUTIONS FOR A (3 + 1)-DIMENSIONAL TIME-FRACTIONAL KdV–ZK-LIKE EQUATION	21
NUMERICAL MODELING OF A NOVEL STOCHASTIC CORONAVIRUS	21
ON HIGHLY EFFICIENT SIMULTANEOUS SCHEMES FOR FINDING ALL POLYNOMIAL ROOTS	21
Some new generalized fractional Hermite-Hadamard-Mercer inequalities through Jensen-Mercer inequality	21
THE FRACTIONAL ANALYSIS OF (2 + 1)-DIMENSIONAL NONLINEAR TIME-FRACTIONAL ROSENAU–HYMAN MODEL USING NATURAL HOMOTOPY TRANSFORM METHOD	21
LOCAL FRACTIONAL VARIATIONAL ITERATION TRANSFORM METHOD: A TOOL FOR SOLVING LOCAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS	20
COMPUTATIONAL SOLUTIONS OF FRACTIONAL ELECTRIC SYMMETRIC CIRCUITS BY SUMUDU TRANSFORMATION	20
LIE SYMMETRIES IN NONLINEAR LIQUID FILM FLOW WITH HEAT AND MASS TRANSFER AND VARIABLE MAGNETIC FIELD	20
AN EFFICIENT FRACTAL CARDIO DISEASES ANALYSIS USING OPTIMIZED DEEP LEARNING MODEL IN CLOUD OF THING CONTINUUM ARCHITECTURE	20
THE THICKNESS AND QUASISYMMETRICAL EQUIVALENCE OF THE SETS DEFINED BY DIGIT RESTRICTIONS	20

EXPLORING NEW GENERALIZED INEQUALITIES OF FRACTAL-FRACTIONAL INTEGRAL OPERATORS BY MEANS OF GENERALIZED MITTAG-LEFFLER KERNELS AND APPLICATION	20
A NEW FRACTAL MODIFIED BENJAMIN–BONA–MAHONY EQUATION: ITS GENERALIZED VARIATIONAL PRINCIPLE AND ABUNDANT EXACT SOLUTIONS	20
PREFACE: SPECIAL ISSUE ON APPLICATION OF BRAIN-LIKE COMPUTING TO THE MODELING AND SIMULATION OF COMPLEX SYSTEMS — PART II	20
AN ECOSYSTEM MODEL WITH MEMORY EFFECT CONSIDERING GLOBAL WARMING PHENOMENA AND AN EXPONENTIAL FEAR FUNCTION	20
INTEGRAL SOLUTIONS OF AN INITIAL VALUE PROBLEM OF FRACTIONAL DYNAMIC EQUATIONS ON TIME SCALE	20
INVERSE PROBLEM RESOLUTION VIA KOHN–VOGELIUS FORMULATION AND TOPOLOGICAL SENSITIVITY METHOD	19
HOW EFFICIENT ARE SUSTAINABILITY-ORIENTED EQUITY MARKETS UNDER GEOPOLITICAL AND CLIMATE RISK? EVIDENCE FROM ENTROPY AND MULTIFRACTAL ANALYSIS	19
EXACT SOLUTIONS OF THE LOCAL FRACTIONAL KdV EQUATION WITH DUAL POWER LAW NONLINEARITY ON THE CANTOR SETS	19
NOVEL BRIGHT AND KINK OPTICAL SOLITON SOLUTIONS OF FRACTIONAL LAKSHMANAN–PORSEZIAN–DANIEL EQUATION WITH KERR LAW NONLINEARITY IN CONFORMABLE SENSE	19
ANOMALOUS DIFFUSION MODELS AND MANDELBROT SCALING-LAW SOLUTIONS	19
AUTOMATED MULTI-DIALECT SPEECH RECOGNITION USING STACKED ATTENTION-BASED DEEP LEARNING WITH NATURAL LANGUAGE PROCESSING MODEL	19
CHAOTIC BEHAVIOR OF MODIFIED STRETCH–TWIST–FOLD FLOW UNDER FRACTAL-FRACTIONAL DERIVATIVES	19
DISCRETE HERMITE–HADAMARD-TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION	19
A DELAYED MALWARE PROPAGATION MODEL FOR CLOUD COMPUTING SECURITY	19
INVESTIGATION OF THE TIME FRACTIONAL GENERALIZED (2 + 1)-DIMENSIONAL ZAKHAROV–KUZNETSOV EQUATION WITH SINGLE-POWER LAW NONLINEARITY	19
THE FORMATION OF EXACT TRAVELING FERROMAGNETIC WAVES AND MATHEMATICALLY FORECASTING OF NONLINEAR DYNAMICAL PROPAGATION	19
MEMORY EFFECT ANALYSIS USING PIECEWISE CUBIC B-SPLINE OF TIME FRACTIONAL DIFFUSION EQUATION	19
ON THE FINITE DELAYED FRACTIONAL DIFFERENTIAL EQUATION VIA THE WEIGHTED RIEMANN–LIOUVILLE DERIVATIVE OF VARIABLE ORDER	19
A LOAD BALANCE PERSONALIZED PATH FINDING WITH MULTIPLE-AGENT DEEP REINFORCEMENT LEARNING	19
STABILITY ANALYSIS OF AN ????ℰℐ????ℛ EPIDEMIC MODEL WITH SATURATED INCIDENCE RATE USING FRACTAL-FRACTIONAL ORDER TECHNIQUES	18
OPTICAL SOLUTIONS WITH KUDRYASHOV’S ARBITRARY TYPE OF GENERALIZED NON-LOCAL NONLINEARITY AND REFRACTIVE INDEX VIA KUDRYASHOV AUXILIARY EQUATION METHOD	18
NUMERICAL SOLUTION OF WAVELET NEURAL NETWORK LEARNING WEIGHTS USING ACCELERATED PARTICLE SWARM OPTIMIZATION ALGORITHM	18
FURTHER ON OPIAL TYPE INTEGRAL INEQUALITIES FOR SUPERQUADRATIC FUNCTIONS	18
FRACTIONAL-ORDER NEWTON–RAPHSON METHOD FOR NONLINEAR EQUATION WITH CONVERGENCE AND STABILITY ANALYSES	18
EXISTENCE AND STABILITY RESULTS OF FRACTIONAL DIFFERENTIAL EQUATIONS MITTAG-LEFFLER KERNEL	18
HOMOTOPY PERTURBATION METHOD FOR FRACTAL DUFFING OSCILLATOR WITH ARBITRARY CONDITIONS	18
INVESTIGATION OF FINANCIAL BUBBLE MATHEMATICAL MODEL UNDER FRACTAL-FRACTIONAL CAPUTO DERIVATIVE	18
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 DISSIPATION	18
INVESTIGATING THE RELATIONSHIP BETWEEN PORE CHARACTERISTICS, FRACTAL DIMENSION, AND PERMEABILITY OF LIMESTONE USING HIGH-PRESSURE MERCURY INTRUSION, SEM ANALYSIS, AND BP NEURAL NETWORK	18
HIGHLIGHTING COMPLEX UNCERTAINTIES IN AN SIRS-INFECTION SPREADING SYSTEM	18
MATHEMATICAL MODELING AND STABILITY ANALYSIS OF THE DYNAMICS OF MONKEYPOX VIA FRACTIONAL-CALCULUS	18
A FRACTAL-MONTE CARLO APPROACH TO SIMULATE KOZENY–CARMAN CONSTANT OF ROUGHENED FIBROUS POROUS MEDIA	18
SCALING LAWS AND NONLINEAR DYNAMICS IN PRODUCTIVE ZAKAT ALLOCATION: A COMPLEX SYSTEM MODELING APPROACH FOR THE QASSIM REGION	18
ZAGREB ECCENTRICITY INDEX OF LEVEL-n SIERPINSKI GASKET	17
ANALYTIC SOLUTION OF ONE-DIMENSIONAL FRACTIONAL GLYCOLYSIS MODEL	17
RESULTS ON TRICOMPLEX PARTIAL METRIC SPACES AND THEIR APPLICATION IN THE NONLINEAR BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER	17
FRACTAL CHARACTERISTICS OF CORE DISKING FRACTURE SURFACES	17
A NOVEL ANALYTICAL APPROACH TO FRACTAL NONLINEAR DISPERSIVE MODEL WITH VARIABLE COEFFICIENTS	17
NUCLEAR MAGNETIC RESONANCE EXPERIMENTS ON ENHANCED OIL RECOVERY BY CO 2 FLOODING IN TIGHT RESERVOIRS	17
COMPUTATIONAL INSIGHTS INTO ARABIC PROPAGANDA: AN INTEGRATION OF CORPUS LINGUISTICS WITH DEEP LEARNING APPROACH	17
ANALYSIS SEQUENTIAL FRACTIONAL DIFFERENCES AND RELATED MONOTONICITY RESULTS	16
OPTICAL SOLITON SOLUTION OF THE BENNEY–ROSKES ZAKHAROV–RUBENCHIK SYSTEMS	16
FRACTAL DIMENSION VARIATION OF CONTINUOUS FUNCTIONS UNDER CERTAIN OPERATIONS	16
FRACTAL-FRACTIONAL MODEL FOR AGGLOMERATE-STRUCTURED MATERIALS IN 3D PRINTING PROCESS AND ITS VARIATIONAL FORMULATION	16
FRACTIONAL MODELING AND NUMERICAL SIMULATION FOR UNFOLDING MARBURG–MONKEYPOX VIRUS CO-INFECTION TRANSMISSION	16
EXPLORING THE IMPACT OF PARAMETERS ON FRACTIONAL SOLITON SOLUTIONS TO THE TRUNCATED DATE–JIMBO–KASHIWARA–MIWA EQUATION	16
A MATHEMATICAL MODEL FOR CONTROLLING THE ALCOHOL ADDICTION: STABILITY AND NUMERICAL ANALYSIS	16
TANGENT MEASURES ON HOMOGENEOUS CANTOR SETS ON ℝ SATISFYING THE CONVEX OPEN SET CONDITION	16
SIGNIFICANT FINDINGS CONCERNING A SPECIFIC CLASS OF STOCHASTIC DIFFERENTIAL EQUATIONS WITH FRACTIONAL-ORDER	16
EXACT TRAVELING WAVE SOLUTIONS OF THE COUPLED LOCAL FRACTIONAL NONLINEAR SCHRÖDINGER EQUATIONS FOR OPTICAL SOLITONS ON CANTOR SETS	16
ASSESSMENT OF SECTOR BOND, EQUITY INDICES AND GREEN BOND INDEX USING INFORMATION THEORY QUANTIFIERS AND CLUSTERS TECHNIQUES	16
AN EXTENDED LAPLACE INTEGRAL TRANSFORM AND ITS APPLICATIONS	16
MIXED-NOISE REMOVAL WITH COUPLED NONLOCAL FRACTAL PRIOR AND DEEP IMAGE PRIOR FOR HIGH-DIMENSIONAL IMAGES	16
SCALING-BASED EARLY WARNING SIGNALS FOR ENERGY SYSTEM FAILURES: A FRACTAL PERSPECTIVE	16
TANGENT MEASURES OF NON-HOMOGENEOUS CANTOR SETS SATISFYING THE STRONG SEPARATION CONDITION	16
FRACTIONAL FRACTAL FEATURE LEARNING AND MULTIFRACTAL SCALING LAWS IN ARTIFICIAL NEURAL NETWORKS	16
FRACTAL-TROPICAL IDEMPOTENT MATRICES FOR NONLINEAR VIBRATION CONTROL OF FRACTAL MEMS	16
STUDY ON NONLINEAR FRACTIONAL ORDER CONFORMABLE MODEL OF INFECTIOUS DISEASE USING UPDATED ANALYTICAL TECHNIQUES	16
ANALYSIS AND IMPLEMENTATION OF NUMERICAL SCHEME FOR THE VARIABLE-ORDER FRACTIONAL MODIFIED SUB-DIFFUSION EQUATION	16
AN INNOVATIVE NUMERICAL APPROACH FOR TWO-TERM TIME-FRACTIONAL DIFFUSION WAVE EQUATION	16
NON-EXISTENCE OF GLOBAL SOLUTIONS TO A SYSTEM OF FRACTIONALLY DAMPED FRACTIONAL DIFFERENTIAL PROBLEMS	15
PREDICTING INTENSIVE CARE UNIT READMISSION AMONG PATIENTS AFTER LIVER TRANSPLANTATION USING MACHINE LEARNING	15
INNOVATIVE HERMITE–HADAMARD TYPE INEQUALITIES FOR EXPONENTIAL TYPE CONVEX FUNCTIONS VIA FRACTIONAL CALCULUS WITH MITTAG-LEFFLER KERNELS	15
The Lipschitzian Fractional Derivative: Using the Lipschitz Exponent to Unify Spatial Irregularity and Temporal Memory	15
ON THE ALGEBRAIC FOUNDATION OF THE MANDELBULB	15
OPTIMAL EXISTENCE AND SOLITARY WAVE STRUCTURE OF GIERER–MEINHARDT ACTIVATOR–SUBSTRATE MODEL	15
CONSTRUCTION OF CLOSED FORM SOLITON SOLUTIONS TO THE SPACE-TIME FRACTIONAL SYMMETRIC REGULARIZED LONG WAVE EQUATION USING TWO RELIABLE METHODS	15
A FRACTAL-BASED OIL TRANSPORT MODEL WITH UNCERTAINTY REDUCTION FOR A MULTI-SCALE SHALE PORE SYSTEM	15
UNDERSTANDING THE ROLE OF MOVABLE OIL IN THE COMPLEXITY OF SHALE PORE STRUCTURES BASED ON FRACTAL THEORY	15
BOX DIMENSION AND MIXED FRACTIONAL CALCULUS OF FRACTAL INTERPOLATION SURFACES	15
EXPLORING FRACTIONAL HERMITE–HADAMARD INCLUSIONS IN UP–DOWN FUZZY MECHANISM ASSOCIATED WITH MULTIPLE HARMONIC CONVEXITIES	15
AUTOMATING METER CLASSIFICATION OF ARABIC POEMS: A HARRIS HAWKS OPTIMIZATION WITH DEEP LEARNING PERSPECTIVE	15
A NOVEL TEMPERED FRACTIONAL TRANSFORM: THEORY, PROPERTIES AND APPLICATIONS TO DIFFERENTIAL EQUATIONS	14
VARIATIONAL ANALYSIS FOR FRACTIONAL EQUATIONS WITH VARIABLE EXPONENTS: EXISTENCE, MULTIPLICITY AND NONEXISTENCE RESULTS	14
COMPLEXITY-BASED ANALYSIS OF THE VARIATIONS OF THE BRAIN’S REACTIONS IN DIFFERENT TYPES OF LOCOMOTIONS	14
COLOR IMAGE ENCRYPTION THROUGH MULTI-S-BOX GENERATED BY HYPERCHAOTIC SYSTEM AND MIXTURE OF PIXEL BITS	14
A STUDY OF FRACTAL DUAL MOMENTUM INVESTMENT STRATEGY UNDER THE CONSTRAINT OF MULTI-FRACTAL CHARACTERISTICS OF STOCK MARKET	14
FRACTIONAL CORONAVIRUS MATHEMATICAL MODEL: NUMERICAL AND THEORETICAL TREATMENTS	14
ENGINEERING GEOMETRIC PHASE AND CORRELATION DYNAMICS OF NITROGEN VACANCIES IN DIAMOND INTERACTING WITH TWO NANOCAVITIES	14
FRACTAL ORACLE NUMBERS	14

SOME IDENTITIES OF FULLY DEGENERATE DOWLING AND FULLY DEGENERATE BELL POLYNOMIALS ARISING FROM λ-UMBRAL CALCULUS	14
SOME NEW INTEGRAL INEQUALITIES OF OSTROWSKI TYPE BY INCORPORATING THE ATANGANA–BALEANU FRACTIONAL INTEGRAL OPERATOR	14
ON MILNE-TYPE INEQUALITIES VIA KATUGAMPOLA FRACTIONAL MULTIPLICATIVE INTEGRALS	14
MULTIFRACTAL CHARACTERIZATION OF THE INHOMOGENEOUS STRAIN EVOLUTION OF THE DEHYDRATED COAL: INSIGHT FROM COAL MICROSTRUCTURE	14
SYSTEMS OF NONLINEAR DELAY INTEGRAL EQUATIONS: POSITIVE SOLUTIONS, COMPARISON THEOREMS, AND DATA DEPENDENCE	14
PULL-IN STABILITY OF A FRACTAL MEMS SYSTEM AND ITS PULL-IN PLATEAU	14
HERMITE WAVELET METHOD FOR APPROXIMATE SOLUTION OF HIGHER ORDER BOUNDARY VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS	14
FRACTAL DIMENSIONS OF THE LOGARITHM OF CONTINUOUS FUNCTIONS	13
APPLICATION OF HOSOYA POLYNOMIAL TO SOLVE A CLASS OF TIME-FRACTIONAL DIFFUSION EQUATIONS	13
MATHEMATICAL MODELING OF PSYCHOLOGICAL DISEASE BY USING ARTIFICIAL INTELLIGENCE TOOLS	13
IMPLEMENTATION OF MULTI-FOLDED TORUS ATTRACTORS VIA A PIECEWISE SYSTEM WITH A PIECEWISE LINEAR ODD FUNCTION	13
YOLO EXPERT SYSTEM FOR REAL-TIME PATTERN RECOGNITION USING DRONES ON WIND FARM TURBINE	13
DYNAMICAL ANALYSIS OF THE SOLITON SOLUTIONS FOR THE NONLINEAR FRACTIONAL AKBOTA EQUATION	13
GROUP ANALYSIS AND CONSERVATION LAWS FOR THE TIME FRACTIONAL HIGHER-DIMENSIONAL SYSTEM OF DIFFERENTIAL EQUATIONS	13
ON SELF-SIMILARITY OF QUADRANGLE	13
LOVE DYNAMICAL MODEL WITH PERSPECTIVES OF PIECEWISE DIFFERENTIAL OPERATORS	13
FUZZY FRACTIONAL ORDER SLIDING MODE CONTROL FOR OPTIMAL ENERGY CONSUMPTION-TRANSIENT RESPONSE TRADE-OFF IN ROBOTIC SYSTEMS	13
ON GENERAL LOCAL FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED H-PREINVEX FUNCTIONS ON YANG’S FRACTAL SETS	13
FRACTAL-FRACTIONAL MILNE-TYPE INEQUALITIES VIA GENERALIZED HARMONIC CONVEXITY	13
THEORETICAL ANALYSIS OF MHD DARCY–FORCHHEIMER POROUS MEDIA FOR HYBRID NANOMATERIAL FLOW WITH THIRD-GRADE FLUID OVER AN EXPONENTIAL STRETCHING SHEET	13
EXPLORING CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES: A MULTI-PARAMETER APPROACH	13
FRACTIONAL CALCULUS AND PHYSICS-INFORMED NEURAL NETWORKS FOR HBV DYNAMICS: THEORY, ANALYSIS, AND MACHINE LEARNING VALIDATION	12
FRACTIONAL DYNAMICS OF CHRONIC LYMPHOCYTIC LEUKEMIA WITH THE EFFECT OF CHEMOIMMUNOTHERAPY TREATMENT	12
FRACTAL CHARACTERIZATION ON THREE-DIMENSIONAL FRACTUR TORTUOSITY IN COAL BASED ON CT SCANNING	12
QUANTIFYING ROUGH FRACTURE BEHAVIORS IN GAS-BEARING COAL SEAM: A FULLY COUPLED FRACTAL ANALYSIS	12
FAST AND ACCURATE POPULATION FORECASTING WITH TWO-SCALE FRACTAL POPULATION DYNAMICS AND ITS APPLICATION TO POPULATION ECONOMICS	12
THE PROLIFERATION OF COVID-19 IN SAUDI ARABIA ACCORDING TO GOMPERTZ MODEL	12
A VARIATIONAL PRINCIPLE OF THE NONLINEAR SCHRÖDINGER EQUATION WITH FRACTAL DERIVATIVES	12
IMPLEMENTING THREE-QUBIT GROVER’S ALGORITHM USING REAL QUANTUM PLATFORMS	12
CHAOS, BIFURCATION, AND SOLITON STABILITY OF BETA-FRACTIONAL NONLINEAR MODEL FOR COLD BOSONIC ATOMS	12
COMPUTATIONAL ANALYSIS OF CAPUTO–FABRIZIO FRACTIONAL ORDER CLIMATE CHANGE MODEL	12
A FRACTAL-FRACTIONAL TSUNAMI MODEL CONSIDERING NEAR-SHORE FRACTAL BOUNDARY	12
A NOVEL FRACTAL COSINE PORE-THROAT CHAIN MODEL FOR STREAMING POTENTIAL COEFFICIENT IN POROUS MEDIA COMPOSED OF CHARGED SOLID PARTICLES	12
SOME NEW TYPES OF GRONWALL-BELLMAN INEQUALITY ON FRACTAL SET	12
GEODESIC DISTANCES ON SIERPINSKI-LIKE SPONGES AND THEIR SKELETON NETWORKS	11
ANALYTICAL ANALYSIS OF FRACTIONAL DAMPED BURGERS’ EQUATION USING CAPUTO DERIVATIVE IN FLUID AND PLASMA FIELDS	11
DESIGN AND IMPLEMENTATION OF FUZZY-FRACTIONAL WU–ZHANG SYSTEM USING HE–MOHAND ALGORITHM	11
NUMERICAL ANALYSIS OF WILLIAMSON NANOFLUID FLOW OVER A STRETCHED SHEET IN A POROUS MEDIUM WITH RADIATION AND HEAT SOURCE/SINK EFFECTS	11
RESEARCH ON THE MECHANICAL CHARACTERISTICS OF LAMINATED SHALE BASED ON SCRATCH TESTS	11
LOCAL GEOMETRY OF SELF-SIMILAR SETS: TYPICAL BALLS, TANGENT MEASURES AND ASYMPTOTIC SPECTRA	11
FRACTIONAL ANALYSIS OF POPULATION DYNAMICAL MODEL IN (3+1)-DIMENSIONS WITH FRACTAL-FRACTIONAL DERIVATIVES	11
MOTION TARGET MONITORING AND RECOGNITION IN VIDEO SURVEILLANCE USING CLOUD–EDGE–IOT AND MACHINE LEARNING TECHNIQUES	11
FRACTAL MODEL FOR EFFECTIVE THERMAL CONDUCTIVITY OF COMPOSITE MATERIALS EMBEDDED WITH A DAMAGED TREE-LIKE BIFURCATION NETWORK	11
MATHEMATICAL ANALYSIS VIA PIECEWISE FRACTIONAL-ORDER DYNAMICAL SYSTEM TO ANALYZE TYPHOID FEVER DISEASE	11
PREFACE — SPECIAL ISSUE ON FRACTALS AND LOCAL FRACTIONAL CALCULUS: RECENT ADVANCES AND FUTURE CHALLENGES	11
A MODIFIED OPERATIONAL MATRIX METHOD FOR INVESTIGATION OF THE NONLINEAR DYNAMICS OF FRACTIONAL SYSTEMS	11
ON THE NEW k-BIVARIATE MITTAG-LEFFLER FUNCTION	10
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 MEDIA	10
COMPLEXITY-BASED ANALYSIS OF THE VARIATIONS IN THE BRAIN RESPONSE OF PORN-ADDICTED AND HEALTHY INDIVIDUALS UNDER DIFFERENT FUNCTION TASKS	10
CONFORMABLE DERIVATIVES IN VISCOUS FLOW DESCRIBING FLUID THROUGH POROUS MEDIUM WITH VARIABLE PERMEABILITY	10
A MATHEMATICAL MODEL FOR NIPAH VIRUS DISEASE BY USING PIECEWISE FRACTIONAL ORDER CAPUTO DERIVATIVE	10
MULTIFRACTAL MODELING OF GAS–WATER RELATIVE PERMEABILITY CONSIDERING MULTISCALE AND MULTIEFFECTS: INVESTIGATION OF UNCONVENTIONAL GAS DEVELOPMENT	10
Fractal-Based Modeling of Energy System Cascading Failures: A Review and Conceptual Framework from Local Disturbances to Systemic Collapse	10
TWO-DIMENSIONAL FRACTIONAL EULER POLYNOMIALS METHOD FOR FRACTIONAL DIFFUSION-WAVE EQUATIONS	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 NEW MODEL OF GAS–WATER TWO–PHASE SEEPAGE BASED ON THE FRACTAL STRUCTURE OF COAL FRACTURE–PORE	10
A NUMERICAL STUDY ON THE DYNAMICS OF DENGUE DISEASE MODEL WITH FRACTIONAL PIECEWISE DERIVATIVE	10
PRACTICAL STABILITY ANALYSIS AND OBSERVER-BASED JOINT STATE AND FAULT ESTIMATION IN k-CAPUTO FRACTIONAL-ORDER SYSTEMS	10
THE FRACTAL AND PIECEWISE STRUCTURE OF SOME CHAOTIC NEURAL NETWORKS USING A GENERALIZED MODEL	10
A CONVERGENCE ANALYSIS OF THE MOBILE–IMMOBILE ADVECTION–DISPERSION MODEL OF TEMPORAL FRACTIONAL ORDER ARISING IN WATERSHED CATCHMENTS AND RIVERS	10
NEW FRACTAL SOLITON SOLUTIONS FOR THE COUPLED FRACTIONAL KLEIN–GORDON EQUATION WITH β-FRACTIONAL DERIVATIVE	10
THE MODIFIED VARIATIONAL PRINCIPLES OF THE FRACTAL ROSENAU–BURGERS EQUATION	10
ON MULTIPLICATIVE (s,P)-CONVEXITY AND RELATED FRACTIONAL INEQUALITIES WITHIN MULTIPLICATIVE CALCULUS	10
FRACTAL SCALING LAWS AND ASYMPTOTIC BEHAVIOR FOR SCHWARZ DOMAIN DECOMPOSITION OF PARABOLIC HAMILTON–JACOBI–BELLMAN WITH AI-DRIVEN ADAPTIVITY	10
NONLOCAL LOW RANK REGULARIZATION METHOD FOR FRACTAL IMAGE CODING UNDER SALT-AND-PEPPER NOISE	10
NUMERICAL SOLUTION OF A MULTI-TERM TIME-FRACTIONAL VISCOELASTIC NON-NEWTONIAN FLUID MODEL VIA A HYBRID SPECTRAL METHOD	10
DYNAMICS OF OPTICAL WAVE PROFILES TO THE FRACTIONAL THREE-COMPONENT COUPLED NONLINEAR SCHRÖDINGER EQUATION	10
APPLICABILITY OF FRACTALS-FRACTIONAL ANALYSIS TO INVESTIGATE ROTAVIRUSES DISEASE MODEL WITH NONLINEAR INCIDENCE RATE	9
STRESS-DEPENDENT MODELS FOR PERMEABILITY AND POROSITY OF FRACTURED ROCK BASED ON FRACTAL THEORY	9
THRESHOLD DYNAMICS AND BIFURCATION ANALYSIS OF THE EPIDEMIC MODEL OF MERS-CoV	9
ANALYTIC SOLUTIONS OF FRACTIONAL ZOOMERON EQUATION VIA POWER INDEX APPROACH AND STABILITY ANALYSIS OF TRAVELING WAVE TRANSFORMATION	9
EXPLORING INSECTS FREE FLIGHT: ENHANCING THE DIPTERAN FLIGHT MODEL TO INCLUDE FRACTAL EFFECTS	9
CONVERGENCE OF DIRICHLET FORMS AND BESOV NORMS ON SCALE IRREGULAR SIERPIŃSKI GASKETS	9
CLOUD-EDGE CONTINUUM FRAMEWORK FOR ADMISSION DATA MANAGEMENT USING DEEP LEARNING MODEL	9
VARIATIONAL PRINCIPLES FOR FRACTAL BOUSSINESQ-LIKE B(m,n) EQUATION	9
SMART SURVEILLANCE: ADVANCED DEEP LEARNING-BASED VEHICLE DETECTION AND TRACKING MODEL ON UAV IMAGERY	9
AUTOMATED GESTURE RECOGNITION USING ARTIFICIAL RABBITS OPTIMIZATION WITH DEEP LEARNING FOR ASSISTING VISUALLY CHALLENGED PEOPLE	9
WAVE PROPAGATION AND MAGNETIC ORDERING IN FERROMAGNETIC MATERIALS	9
A NUMERICAL ANALYSIS OF NABLA DISCRETE OPERATOR: TO INVESTIGATE PREY–PREDATOR MODEL	9
A NOVEL MONTE CARLO SIMULATION ON THE ELECTRICAL CONDUCTIVITY OF FRACTAL POROUS MEDIA	9
FRACTIONAL VERSIONS OF OSTROWSKI AND RELATED INEQUALITIES WITH APPLICATIONS	9
OUTLINING GUIDELINES FOR THE APPLICATION OF THE MF-DCCA IN FINANCIAL TIME SERIES: NON-STATIONARY VERSUS STATIONARY	9
AUTOMATED INDOOR ACTIVITY MONITORING FOR ELDERLY AND VISUALLY IMPAIRED PEOPLE USING QUANTUM SALP SWARM ALGORITHM WITH MACHINE LEARNING	9
CLIMATE CHANGE IMPACTS ON TRI-TROPHIC PREDATOR–PREY MODEL OF THE INTERACTIONS BETWEEN WOLVES, UNGULATES, AND PLANTS	9
THE FRACTAL MATHEMATICAL MODELS FOR SPONTANEOUS AND FORCED IMBIBITION WITH DIFFERENT CROSS-SECTION SHAPES IN SHALE OIL RESERVOIR	9
HADAMARD FRACTIONAL CALCULUS ON TIME SCALES	9
THE APPLICATION OF FRACTAL THEORY IN MARKETING: WHAT CAN WE DO?	9
HAUSDORFF DIMENSION OF A CLASS OF COLORED SUBSTITUTION NETWORKS	9
A NEW BIVARIATE TEMOM METHOD FOR THE FRACTAL-LIKE AGGLOMERATE BROWNIAN COAGULATION	9
TRAPPING PROBLEM OF HONEYPOTS ON FRACTAL NETWORKS WITH THE STURMIAN STRUCTURE	9
ON SOME NEW HERMITE–HADAMARD–MERCER-TYPE INEQUALITIES THROUGH SEPARABLE SEQUENCES AND CAPUTO FRACTIONAL OPERATORS	9
DIURNAL VARIATION OF NEAR-SURFACE WIND SPEED: MULTIFRACTAL ANALYSIS	9
FRACTALS FRACTIONAL MATHEMATICAL MODEL FOR THE EVOLUTION OF COVID-19 WITH VACCINATION AND SOCIAL MEDIA EFFECT	8
SIMULATION OF UNSTEADY TRANSPORT PHENOMENA USING NEW FINITE VOLUME METHOD	8
NONEXISTENCE RESULTS FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL INEQUALITIES INVOLVING ERDÉLYI–KOBER FRACTIONAL DERIVATIVES	8