Fractional-order modelling and analysis of diabetes mellitus: Utilizing the Atangana-Baleanu Caputo (ABC) operator

Keyphrases

• Type 1 Diabetes Mellitus (T1DM) 100%
• Atangana-Baleanu Operator 100%
• Fractional-order Model 100%
• Fractional-order Calculations 100%
• Diabetes Mellitus Model 60%
• Prevalent Diseases 40%
• Fractional Order 40%
• Atangana-Baleanu-Caputo Derivative 40%
• Tuberculosis 20%
• Patients with Diabetes Mellitus 20%
• Nerve 20%
• Blood Glucose 20%
• Blood Vessels 20%
• Numerical Experiments 20%
• Kidney 20%
• Causes of Mortality 20%
• Solution Existence 20%
• Significant Disease 20%
• Solution Uniqueness 20%
• Fractional Calculus 20%
• Numerical Simulation 20%
• Picard Theorem 20%
• Lagrange Polynomial Interpolation 20%
• Dimensionality Reduction 20%
• Elevated Blood Glucose 20%
• Fractional Dimension 20%
• Metabolic Dysfunction 20%
• Analysis Simulation 20%
• Model Simulation 20%
• Vital Organs 20%
• Numerical Approximation of Solutions 20%
• Two-step Lagrange Polynomial 20%
• Mathematical Model Analysis 20%
• Graph Representation 20%
• Dynamics of Diabetes 20%

Mathematics

• Fractional Order 100%
• Caputo Derivative 66%
• Numerical Experiment 33%
• Calculus 33%
• Numerical Simulation 33%
• Mathematical Modeling 33%
• Numerical Approximation 33%
• Interpolation Polynomial 33%
• Graphical Representation 33%
• Picard Operator 33%
• Initial Point 33%