Mathematical Modeling
Development of rigorous models for complex scientific and engineering systems.
About
Dr. Rabha W. Ibrahim is a senior researcher specializing in applied mathematics, mathematical engineering, fractional calculus, nonlinear analysis, geometric function theory, and multidisciplinary mathematical modeling.
Her research connects rigorous mathematical theory with practical problems in engineering, medicine, biology, physics, environmental science, and computational research.
Research Expertise
Fractional Calculus
Classical, quantum, Hahn-type, and generalized fractional operators.
Nonlinear Analysis
Existence, uniqueness, positivity, stability, and asymptotic behavior.
Numerical Mathematics
Stability, consistency, convergence, sensitivity, and error analysis.
Biomedical Applications
Models for stroke, diabetes, neurological disorders, and healthcare systems.
Engineering Applications
Heat, diffusion, waves, fluid dynamics, control, and phase-field systems.
Research and Consulting Services
- Mathematical model development
- Theoretical analysis and proof review
- Fractional and nonlinear modeling
- Numerical-method consultation
- Interdisciplinary research collaboration
- Research proposal development
- Mathematical manuscript consultation
- Workshops and specialist training
Services are provided according to accepted research-integrity standards. Publication guarantees, fabricated data, purchased authorship, and unethical academic work are not offered.
Publications and Professional Profiles
Selected publications and professional profile links can be added here.
Contact and Collaboration
Universities, research centers, hospitals, engineering organizations, companies, and individual investigators are invited to discuss research collaboration and consulting projects.
Dr. Rabha W. Ibrahim
Founder and Senior Mathematical Research Consultant
United States
Email: rabhaibrahim133@gmail.com