Yeliz Karaca is an Associate Professor of Applied Mathematics at the Department of Mathematics and a Senior Researcher Professor at the Department of Neurology, University of Massachusetts Chan Medical School (UMass), USA as well as a collaborator at Massachusetts Institute of Technology (MIT), USA. She has been serving as a teacher of Mathematics and other courses for 24 years at different levels and educational institutions.
Dr. Karaca is the founding member and president of the Systems Sciences, Complex Systems and Nonlinear Intelligence Dynamics Institute Academy (http://ssnid.org/) at UMass, USA. She is the Editor-in-Chief of the book series entitled Systems Science & Nonlinear Intelligence Dynamics (https://www.worldscientific.com/series/ssnid) by World Scientific.
Dr. Karaca received her Ph.D. degree in Mathematics in 2012 and her Master of Science degree in Theoretical Mathematics in 2008 with Honors. Along with the other awards Dr. Karaca has been conferred, she was granted the Cooperation in Neurological Sciences and Support Award associated with her Ph.D. dissertation by Turkish Neurology Association as the first mathematician in Türkiye. Besides these, she holds a medical card, based on the long-term various medical and clinical-related trainings she has received and been certified, as the only mathematician entitled to it. Furthermore, she received the Outstanding Young Scientist Award in 2012 and Best Paper Awards in her specialized discipline, among the other national and international awards in different categories as well as grants. Another award of hers is Outstanding Reviewer Award (Mathematics Journal, MDPI) (https://l24.im/gqIA9 ) in 2021.
As for some publications, Dr. Karaca has the following books:
Computational Methods for Data Analysis, De Gruyter (2018)
Computational Science and Its Applications– Lecture Notes in Computer Science (ICCSA 2023, with series 1-9), Springer
Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems, Elsevier (2022)
Intelligent Fractal-Based Image Analysis: Applications in Pattern Recognition and Machine Vision, Elsevier (2024)
Mathematical Modeling, Applied Analysis and Computational Methods, Springer (2025)
Computational and Mathematical Neuroscience, Biology & Medicine: Clinical and Medical Applications, Wiley-IEEE Press (due for 2025)
Dr. Karaca has been acting as an editor, topic editor, guest editor and associate editor in many different issues in SCI indexed journals such as Fractals Journal (WS), IEEE Access Journal; Brain X Journal (Wiley), Electronics Journal (MPDI); International Journal of Big Data and Analytics in Healthcare (IJBDAH) (IGI).
In addition, she is the leading editor of several special issues, some of which are outlined as follows:
Fractals- Fractional AI-Based Analyses and Applications to Complex Systems (Part IV, III, II, I), Fractals Journal, World Scientific (2020-2024)
Advanced fractional calculus, differential equations and neural networks: analysis, modelling and numerical computations", Physica Scripta Journal (2022, 2023)
Advanced Fractals and Fractional Calculus with Science and Engineering Applications: Computing, Dynamics and Control in Complex Systems- Part II and I, Applied Mathematics in Science and Engineering Journal, Taylor & Francis (2022-2024)
Mathematical Modeling of Complex Systems: Fractals-Fractional-Itô-AI-DEs-Based Theories, Analyses and Applications-Part II-I, Fractals Journal (2023-…)
Computational Complexity, Mathematical Sciences and Complexity Science: Artificial Intelligence and Complex Systems’ Theories and Applications - Part II- I, JEAM, L&H Scientific Publishing (2023-…)
Mathematical Complexity Modeling and Artificial Intelligence of Complex Systems and Nonlinear Sciences: Fractal-Fractional, Variational, Stochastic and Quantum Calculus' Analyses and Applications-Part I, NSP Publishing (2024-...)
Mathematical Applications and Computational Intelligence in Medicine and Biology, MDPI (2024-…)
Dr. Karaca has been acting as a general chair, chair and offered lectures, seminar courses and workshops on mathematics, engineering and applied sciences of international conferences, some of which are as follows: the founding member and the general chair of IWW (https://iww.itu.edu.tr/); the general chair of ICCSA 2025 (https://iccsa.org/); NSC; ICFDA; IETI ICIIP and ICAIM.
The research interests of Dr. Karaca mainly focus on complex systems with applications in various terrains, applied mathematics, computational methods, AI applications, computational complexity, fractional calculus, multifractals, multifractional methods, stochastic processes, mathematical systems, complexity sciences, DEs and difference equations, discrete mathematics, wavelet, entropy, solutions of advanced mathematical challenges, mathematical neuroscience and biology as well as advanced data analysis in medicine other related theoretical, computational and applied domains.
Publications
Classification of Erythematous - Squamous Skin Diseases Through SVM Kernels and Identification of Features with 1-D Continuous Wavelet Coefficient
book-chapter
Data-Driven Time Series Modeling with Hurst Exponent for Nonlinear Indexes’ Forecasting by Artificial Neural Networks
book-chapter
Towards Smarter Vegetation Health Clustering: Insights from Fractal Dimension, NDVI, and LST Metrics Derived via Remote Sensing Landsat Dataset
book-chapter
Pixel Map-Based Hybrid AI Framework for Early and Accurate Cardiovascular Disease Diagnosis
Journal of Computational and Applied Mathematics
journal-article
A COMPREHENSIVE ANALYSIS AND OPTIMAL CONTROL FOR A NONLINEAR (φ1,φ2)-FRACTIONAL DIFFERENTIAL EQUATIONS TOXIC DRINKS MODEL PERTAINING TO MITTAG-LEFFLER KERNEL TECHNIQUES
Fractals
journal-article
ADVANCED DYNAMIC NUMERICAL SCHEME FOR FRACTAL-FRACTIONAL DIFFERENTIAL OPERATORS FOR CYTOTOXIC T LYMPHOCYTE MODEL PERTAINING TO MITTAG-LEFFLER KERNEL
Fractals
journal-article
HUMAN–COMPUTER DIALOGUE SYSTEMS-BASED IMAGE-TEXT VISUALIZATION, FUSION AND MULTI-INTENT MODELS’ CONSTRUCTION
Fractals
journal-article
Controllability of pantograph-type nonlinear non-integer order differential system with input delay
Alexandria Engineering Journal
journal-article
Gradient-Based Weighted Central Pixel Matching for Efficient Fractal Image Coding
book-chapter
FRACTAL FEATURE MODELING: MULTI-DIMENSIONAL ATTENTION AND SPATIAL ADAPTIVE RELATIONSHIP LEARNING FOR PERSON RE-IDENTIFICATION
Fractals
journal-article
MONIC CHEBYSHEV’S FIRST DERIVATIVE PSEUDO-GALERKIN METHOD FOR SOLVING LINEAR AND NONLINEAR IBVPS: REAL-LIFE AND PHYSICAL APPLICATIONS
Fractals
journal-article
A NEW ANALYSIS OF THE AB-FRACTAL-FRACTIONAL OPERATORS USING THE GENERALIZED GAMMA FUNCTION IN GEOMETRIC PATTERNS
Fractals
journal-article
Secure Image Encryption Using Single-Mode Fiber and Dense Wavelength Division Multiplexing in Chaotic Systems
book-chapter
COLOR IMAGE ENCRYPTION THROUGH MULTI-S-BOX GENERATED BY HYPERCHAOTIC SYSTEM AND MIXTURE OF PIXEL BITS
Fractals
journal-article
The Time Series Classification of Discrete-Time Chaotic Systems Using Deep Learning Approaches
Mathematics
journal-article
A multi-step mathematical model-based predictive strategy for software release timing during testing stage
Mathematical Modelling and Numerical Simulation with Applications
journal-article
3D Chaotic Nonlinear Dynamic Population-Growing Mathematical System Modeling with Multiple Controllers
Chaos Theory and Applications
journal-article
Juxtaposition across Mathematical Modeling, Stochastic Processes along with the Lenses of Philosophy of Science and AI integration in Medicine and Biology: An Overview
Computers and Electronics in Medicine
journal-article
CHAOS THEORY, ADVANCED METAHEURISTIC ALGORITHMS AND THEIR NEWFANGLED DEEP LEARNING ARCHITECTURE OPTIMIZATION APPLICATIONS: A REVIEW
Fractals
journal-article
A Pseudo Random Number Generator Based on 4D Hyperchaotic Systems, Riddled Basins of Attraction and Advanced Microfluidic Technology
book-chapter
Wavelets for anisotropic oscillations in nanomaterials
book-chapter
The Time Series Classification of Discrete-Time Chaotic Systems Using Deep Learning Approaches
Mathematics
journal-article
Advanced fractional calculus, differential equations and neural networks: analysis, modeling and numerical computations
Physica Scripta
journal-article
Pantographic formulation of a nonlinear system of fractional order with delays and examination of its controllability
The European Physical Journal Special Topics
journal-article
Fractional Order Computing and Modeling with Portending Complex Fit Real-World Data
book-chapter
Computational Complexity-based Fractional-Order Neural Network Models for the Diagnostic Treatments and Predictive Transdifferentiability of Heterogeneous Cancer Cell Propensity
Chaos Theory and Applications
journal-article
A COMPUTATIONAL ANALYSIS FRACTIONAL COMPLEX-ORDER VALUES BY ABC OPERATOR AND MITTAG-LEFFLER KERNEL MODELING
Fractals
journal-article
A POWER SERIES METHOD FOR THE FUZZY FRACTIONAL LOGISTIC DIFFERENTIAL EQUATION
Fractals
journal-article
ARTIFICIAL INTELLIGENCE-DRIVEN APPROACH TO IDENTIFY AND RECOMMEND THE WINNER IN A TIED EVENT IN SPORTS SURVEILLANCE
Fractals
journal-article
COMPLEX MATHEMATICAL MODELING FOR ADVANCED FRACTAL–FRACTIONAL DIFFERENTIAL OPERATORS WITHIN SYMMETRY
Fractals
journal-article
EDITORIAL SPECIAL ISSUE: PART IV-III-II-I SERIES
Fractals
journal-article
FRACTIONAL CALCULUS OPERATORS–BLOCH–TORREY PARTIAL DIFFERENTIAL EQUATION–ARTIFICIAL NEURAL NETWORKS–COMPUTATIONAL COMPLEXITY MODELING OF THE MICRO–MACROSTRUCTURAL BRAIN TISSUES WITH DIFFUSION MRI SIGNAL PROCESSING AND NEURONAL MULTI-COMPONENTS
Fractals
journal-article
MULTIPLE SOLITONS, BIFURCATIONS, CHAOTIC PATTERNS AND FISSION/FUSION, ROGUE WAVES SOLUTIONS OF TWO-COMPONENT EXTENDED (2+1)-D ITÔ CALCULUS SYSTEM
Fractals
journal-article
NOVEL TRAVELING-WAVE SOLUTIONS OF SPATIAL-TEMPORAL FRACTIONAL MODEL OF DYNAMICAL BENJAMIN–BONA–MAHONY SYSTEM
Fractals
journal-article
SYMMETRICALLY CONFORMABLE FRACTIONAL DIFFERENTIAL OPERATORS BY COMPUTATIONAL NUMERICAL MODELING WITH SPECIAL FUNCTION
Fractals
journal-article
Algorithmic Complexity-Based Fractional-Order Derivatives in Computational Biology
book-chapter
Analytic Solutions of Fractional Differential Equation Associated with the k-Symbol Tremblay Differential Operator
book-chapter
A New Fractional-order Derivative-based Nonlinear Anisotropic Diffusion Model for Biomedical Imaging
Chaos Theory and Applications
journal-article
Economic Order Quantity Model-Based Optimized Fuzzy Nonlinear Dynamic Mathematical Schemes
Computational Intelligence and Neuroscience
journal-article
Theory of complexity, origin and complex systems
book-chapter
New Bright and Kink Soliton Solutions for Fractional Complex Ginzburg–Landau Equation with Non-Local Nonlinearity Term
Fractal and Fractional
journal-article
New Bright and Kink Soliton Solutions for Fractional Complex Ginzburg–Landau Equation with Non-Local Nonlinearity Term
Fractal and Fractional
journal-article
NON-AUTONOMOUS FRACTIONAL EVOLUTION EQUATIONS WITH NON-INSTANTANEOUS IMPULSE CONDITIONS OF ORDER (1,2): A CAUCHY PROBLEM
Fractals
journal-article
THEORETICAL AND NUMERICAL INVESTIGATION OF COMPLEXITIES IN FRACTIONAL-ORDER CHAOTIC SYSTEM HAVING TORUS ATTRACTORS
Fractals
journal-article
Effective Analytical Computational Technique for Conformable Time-Fractional Nonlinear Gardner Equation and Cahn-Hilliard Equations of Fourth and Sixth Order Emerging in Dispersive Media
Journal of Function Spaces
journal-article
Sustainable Energy Consumption Model for Textile Industry Using Fully Intuitionistic Fuzzy Optimization Approach
Computational Intelligence and Neuroscience
journal-article
Hidden Markov Model and multifractal method-based predictive quantization complexity models vis-á-vis the differential prognosis and differentiation of Multiple Sclerosis’ subgroups
Knowledge-Based Systems
journal-article
Artificial neural network modeling of systems biology datasets fit based on Mittag-Leffler functions with heavy-tailed distributions for diagnostic and predictive precision medicine
book-chapter
Computational fractional-order calculus and classical calculus AI for comparative differentiability prediction analyses of complex-systems-grounded paradigm
book-chapter
Introduction
book-chapter
Mittag-Leffler functions with heavy-tailed distributions' algorithm based on different biology datasets to be fit for optimum mathematical models' strategies
book-chapter
Multi-chaos, fractal and multi-fractional AI in different complex systems
book-chapter
Multifractal complexity analysis-based dynamic media text categorization models by natural language processing with BERT
book-chapter
Pattern formation induced by fractional-order diffusive model of COVID-19
book-chapter
Shannon entropy-based complexity quantification of nonlinear stochastic process
book-chapter
Fractional Dynamics of Vector-Borne Infection with Sexual Transmission Rate and Vaccination
ACHIEVING MORE PRECISE BOUNDS BASED ON DOUBLE AND TRIPLE INTEGRAL AS PROPOSED BY GENERALIZED PROPORTIONAL FRACTIONAL OPERATORS IN THE HILFER SENSE
Fractals
journal-article
COMPLEX FRACTIONAL-ORDER HIV DIFFUSION MODEL BASED ON AMPLITUDE EQUATIONS WITH TURING PATTERNS AND TURING INSTABILITY
Fractals
journal-article
NEW COMPUTATIONS OF OSTROWSKI-TYPE INEQUALITY PERTAINING TO FRACTAL STYLE WITH APPLICATIONS
Fractals
journal-article
NEW MULTI-FUNCTIONAL APPROACH FOR κTH-ORDER DIFFERENTIABILITY GOVERNED BY FRACTIONAL CALCULUS VIA APPROXIMATELY GENERALIZED (ψ, (h)over-bar)-CONVEX FUNCTIONS IN HILBERT SPACE
Fractals
journal-article
SPECIAL ISSUE SECTION ON FRACTAL AI-BASED ANALYSES AND APPLICATIONS TO COMPLEX SYSTEMS: PART I
Fractals
journal-article
Fractional Dynamics of Vector-Borne Infection with Sexual Transmission Rate and Vaccination
Mathematics
journal-article
Characterizing Complexity and Self-Similarity Based on Fractal and Entropy Analyses for Stock Market Forecast Modelling
Expert Systems with Applications
journal-article
A NOVEL R/S FRACTAL ANALYSIS AND WAVELET ENTROPY CHARACTERIZATION APPROACH FOR ROBUST FORECASTING BASED ON SELF-SIMILAR TIME SERIES MODELING
Fractals
journal-article
Decision Tree-Based Transdisciplinary Systems Modelling for Cognitive Status in Neurological Diseases
Lecture Notes in Computer Science
journal-article
Glomerulus Classification via an Improved GoogLeNet
IEEE Access
journal-article
Multifractional Gaussian Process Based on Self-similarity Modelling for MS Subgroups' Clustering with Fuzzy C-Means
International Conference on Medical Image Computing and Computer Assisted Intervention - MICCAI (Lecture Notes in Computer Science)
conference-paper
Theory, Analyses and Predictions of Multifractal Formalism and Multifractal Modelling for Stroke Subtypes' Classification
Lecture Notes in Computer Science
journal-article
Fractal and multifractional-based predictive optimization model for stroke subtypes’ classification
Chaos, Solitons & Fractals
journal-article
A Comparison of Two Holder Regularity Functions to Forecast Stock Indices by ANN Algorithms
Lecture Notes in Computer Science
journal-article
Multifractal Analysis with L2 Norm Denoising Technique: Modelling of MS Subgroups Classification
Lecture Notes in Computer Science
journal-article
Wavelet-based Multifractal Spectrum Estimation in Hepatitis Virus Classification Models by Using Artificial Neural Network Approach
Global Virology III: Virology in the Century
journal-article
Mobile cloud computing based stroke healthcare system
International Journal of Information Management
journal-article
Gini Based Learning for the Classification of Alzheimer’s Disease and Features Identification with Automatic RGB Segmentation Algorithm
book-chapter
Stroke Subtype Clustering by Multifractal Bayesian Denoising with Fuzzy C Means and K‐Means Algorithms
Complexity
journal-article
ANN Classification of MS Subgroups with Diffusion Limited Aggregation
book-chapter
CLUSTERING MULTIPLE SCLEROSIS SUBGROUPS with MULTIFRACTAL METHODS and SELF-ORGANIZING MAP ALGORITHM
Fractals
journal-article
Comparison of deep learning and support vector machine learning for subgroups of multiple sclerosis
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
book
Rank Determination of Mental Functions by 1D Wavelets and Partial Correlation
Journal of Medical Systems
journal-article
The classification of Turkish economic growth by artificial neural network algorithms
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
book
The differential diagnosis of multiple sclerosis using convex combination of infinite kernels
CNS and Neurological Disorders - Drug Targets
journal-article
1D Wavelet and Partial Correlation Application for MS Subgroup Diagnostic Classification
book-chapter
Application and comparison of ANN and SVM for diagnostic classication for cognitive functioning
Applied Mathematical Sciences
journal-article
Case study on artificial neural networks and applications
Applied Mathematical Sciences
journal-article
Linear modeling of multiple sclerosis and its subgroubs | Multipl skleroz ve alt gruplarının doğrusal modeli
Turk Noroloji Dergisi
journal-article
Application of Decision Tree for Classification of MS Diagnosis, Expanded Disability Status Scale and Lesion Numbers
conference-paper
BAYESIAN NETWORKS FOR SUB-GROUPS OF MULTIPLE SCLEROSIS
INTERNATIONAL JOURNAL OF ELECTRONICS; MECHANICAL and MECHATRONICS ENGINEERING
journal-article
Wavelet Analysis of Anxiety and Mathematics Performance