Dr. Mamta Kapoor
Associate Professor – Research
Associate Professor and research expert in advanced mathematics, specializing in partial differential equations, fractional calculus, and applied mathematical modeling. Professional online training in MATLAB, Python, LaTeX, and engineering mathematics for students and researchers.
Location : Rajkot, Gujarat, India
Email : mamtakapoor.78@yahoo.com
Research Areas : PDEs, Fractional Calculus, AI & Machine Learning
Publications : 60+ Scopus Indexed Papers
──── About Me ────
Dr. Mamta Kapoor: Associate Professor in Mathematics with expertise in partial differential equations, fractional calculus, and applied mathematical modeling. With 60+ Scopus-indexed publications and strong experience in teaching and research, I also offer professional training in MATLAB, Python, and engineering mathematics.
Research Profiles & Academic Links : Explore my academic work, publications, and professional profiles across leading research platforms.
Linkedin : View Professional Profile | ResearchGate : View Research Work
ORCID ID : 0000-0001-9716-6784 | Scopus Profile : View Publications
Google Scholar : View Citations & Research
──── Expertise ────
Subjects Taught────
- Discrete Mathematics
- Probability and Statistics
- Mathematics for Engineers
- Differential Equations and Vector Calculus
Courses────
- MATLAB online training
- Python online training
- Latex online training
- Mathematics online classes
- Engineering Mathematics online classes
- Mathematics Olympiad online preparation
- Mathematics AI tools online training
──── Research Interest ────
- Mathematical Modelling
- Moving Boundary Problem
- Skin burns injuries
- Fractional Calculus
- Wavelet Based Numerical Method
──── Research Project ────
- Mathematical Modelling
- Moving Boundary Problem
- Skin burns injuries
- Fractional Calculus
- Wavelet Based Numerical Method
────Research Publications────
- Series Solution of Fractional Order Kundu-Eckhaus Equation and Massive Thirring Models via the Laplace Homotopy Perturbation Method
Journal: Journal of Mathematical Sciences | Category: Scopus | Status: Published, 2026 - Dynamical Evolution of Soliton Parameters in the Modified Kawahara Equation via the Collective Variable Technique
Journal: International Journal of Applied and Computational Mathematics | Category: Scopus | Status: Published, 2026 - Bright and Dark Optical Solutions in Birefringent Fibers with Polynomial Law of Non-linear Refractive Index via Semi-analytical Technique (Shehu HPM)
Journal: Results in Optics | Category: Scopus | Status: Published, 2025 - Semi-analytical Technique Implementation on 4th-order Schrödinger Equations with Cubic–Quintic Nonlinearity
Journal: Results in Optics | Category: Scopus | Status: Published, 2025 - Dark Soliton Solutions of Cubic-Quartic Non-linear Schrödinger Equation via Sumudu HPM
Journal: Results in Optics | Category: Scopus | Status: Published, 2025 - A Robust Study upon Fuzzy Fractional 2D Heat Equation via Semi-analytical Technique
Journal: Partial Differential Equations in Applied Mathematics | Category: Scopus | Status: Published, 2025 - A Robust Study via Semi-analytical Approach for Fractional Telegraph Equation
Journal: Partial Differential Equations in Applied Mathematics | Category: Scopus | Status: Published, 2025 - A Comparative Study of Numerical Simulations via UAT and UAH Tension B-Splines for Coupled Navier-Stokes Equations with Statistical Validation
Journal: Partial Differential Equations in Applied Mathematics | Category: Scopus | Status: Published, 2025 - Implementation of Reduced Differential Transform Method upon Fractional Coupled Burgers’ Equations in Various Dimensions
Journal: Journal of Mathematical Sciences | Category: Scopus | Status: Published, 2025 - Elzaki Residual Power Series Approach for Semi-analytic Approximation of Time-fractional Nonlinear Equations in Magneto-acoustic Waves
Journal: Physica Scripta | Category: Scopus, SCIE | Status: Published, 2024 - A Novel Study for Fractional Navier–Stokes and Fractional Coupled Navier-Stokes Equation via Yang ADM (Caputo–Fabrizio Sense)
Journal: Partial Differential Equations in Applied Mathematics | Category: Scopus | Status: Published, 2024 - An Equivalent Study Regarding Polynomial DQM and B-Spline Based DQM via 1D and 2D Hyperbolic Telegraph Equation
Journal: Ain Shams Engineering Journal | Category: Scopus, SCIE | Status: Published, 2024 - A Robust Regime via Sumudu HPM for Schrödinger Equation in Different Dimensions
Journal: Results in Optics | Category: Scopus | Status: Published, 2024 - Series Solution to Fractional Telegraph Equations Using an Iterative Scheme Based on Yang Transform
Journal: Differential Equations and Dynamical Systems | Category: SCIE | Status: Published, 2024 - A Comparative Study of Sumudu HPM and Elzaki HPM for Coupled Burgers’ Equation
Journal: Heliyon | Category: SCIE | Status: Published, 2023
──── Book Chapters Published ────
- Series Solution of Fractional Order Kundu-Eckhaus Equation and Massive Thirring Models via the Laplace Homotopy Perturbation Method
Journal: Journal of Mathematical Sciences | Category: Scopus | Status: Published, 2026
──── Books Details ────
- Series Solution of Fractional Order Kundu-Eckhaus Equation and Massive Thirring Models via the Laplace Homotopy Perturbation Method
Journal: Journal of Mathematical Sciences | Category: Scopus | Status: Published, 2026
──── Books Published ────
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──── Education ────
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──── Work History────
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──── Thesis Supervision────
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──── Professional Activities────
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──── Certifications────
- NPTEL Online Certification in Basic Linear Algebra – 69% Marks
- NPTEL Online Certification in Integral and Vector Calculus – 61% Marks
- Professional Certificate Course in Data Science – E&ICT Academy, IIT Kanpur (05 Feb 2024)
- Advanced Certification in Applied Data Science, Machine Learning & IoT – E&ICT Academy, IIT Guwahati (Apr 2024 – Jan 2025)
- IBM Certification: Exploratory Data Analysis for Machine Learning – Coursera (2025)