This proceedings volume contains chapters presented at the African Conference for Industrial and Applied Mathematics (ACIAM 2024), held in in Cape Town, South Africa, from September 30 – October 5. It brings together a collection of original research chapters that showcase the dynamism of applied mathematics as both a theoretical discipline and a practical instrument for addressing global and regional challenges. The book encompasses a broad range of contemporary themes. Several chapters explore the theory and applications of fractional and fractal-fractional calculus, including non-singular kernel derivatives that offer new ways to describe complex memory and hereditary effects in natural and engineered systems. Others highlight advances in stochastic modelling, iterative schemes and stability analysis, which form the backbone of many computational and optimisation techniques.
The volume also contains significant contributions in fluid dynamics, nonlinear systems, chaos theory, epidemiological modelling, cancer dynamics, groundwater flow and ecosystem studies. A distinctive feature of this book is its attention to problems of immediate relevance to Africa, while maintaining a global scientific outlook. Models for malaria transmission, contaminant transport in aquifers and disease spread under varying health conditions illustrate the dual character of applied mathematics: rigorous in formulation and practical in implication. This book is intended for mathematicians, scientists and engineers, as well as graduate students and practitioners who wish to explore the latest developments in applied mathematics. It not only deepens theoretical understanding but also demonstrates how mathematics continues to evolve as a powerful tool for innovation, sustainability, and societal progress.
This proceedings volume contains chapters presented at the African Conference for Industrial and Applied Mathematics (ACIAM 2024), held in in Cape Town, South Africa, from September 30 – October 5. It brings together a collection of original research chapters that showcase the dynamism of applied mathematics as both a theoretical discipline and a practical instrument for addressing global and regional challenges. The book encompasses a broad range of contemporary themes. Several chapters explore the theory and applications of fractional and fractal-fractional calculus, including non-singular kernel derivatives that offer new ways to describe complex memory and hereditary effects in natural and engineered systems. Others highlight advances in stochastic modelling, iterative schemes and stability analysis, which form the backbone of many computational and optimisation techniques.
The volume also contains significant contributions in fluid dynamics, nonlinear systems, chaos theory, epidemiological modelling, cancer dynamics, groundwater flow and ecosystem studies. A distinctive feature of this book is its attention to problems of immediate relevance to Africa, while maintaining a global scientific outlook. Models for malaria transmission, contaminant transport in aquifers and disease spread under varying health conditions illustrate the dual character of applied mathematics: rigorous in formulation and practical in implication. This book is intended for mathematicians, scientists and engineers, as well as graduate students and practitioners who wish to explore the latest developments in applied mathematics. It not only deepens theoretical understanding but also demonstrates how mathematics continues to evolve as a powerful tool for innovation, sustainability, and societal progress.
O. D. Makinde
mathematics in industry mathematics in society computational mathematics mathematical modeling and simulation optimization techniques data science machine learning mathematical finance and economics ACIAM-2024 fractional calculus fractal-fractional derivatives Caputo-Fabrizio operator stochastic processes iterative schemes and convergence nonlinear dynamical systems