DOMAINS

Research Overview

Research at the intersection of applied mathematics, fractional calculus, mathematical modeling, and computational methods, with applications in biological, epidemiological, and interdisciplinary systems.

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Applied Mathematics & Mathematical Modeling

Research in mathematical modeling and analytical approaches for complex real-world, biological, medical, and interdisciplinary systems.

Applied Mathematics · Mathematical Modeling · Differential Equations · Dynamical Systems · Stability Analysis · Computational Mathematics
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Mathematical Biology & Epidemiological Modeling

Mathematical and computational modeling of biological, physiological, and infectious disease systems, including their qualitative and quantitative analysis.

Mathematical Biology · Epidemiology · Infectious Diseases · SIR Models · Disease Modeling · Stability Analysis · Bifurcation · Optimal Control
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Integral Transforms & Special Functions

Research on integral transform techniques and generalized special functions with applications in differential equations, mathematical modeling, and applied sciences.

Integral Transforms · Laplace Transform · Mellin Transform · Special Functions · Generalized Functions · Incomplete Functions · Generating Functions
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Fractional Calculus & Applications

Study of fractional differential equations and their applications in mathematical modeling of complex, biological, physical, and interdisciplinary systems.

FDE · Fractional Operators · Caputo · Atangana-Baleanu · Hilfer · Fractional Modeling · Nonlocal Dynamics
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Numerical Analysis & Computational Methods

Development and application of analytical and numerical methods for differential equations, mathematical models, and computational problems.

Numerical Analysis · Numerical Methods · Differential Equations · Euler Method · Adams-Bashforth Method · Computational Mathematics · MATLAB
SUPERVISION

Research Supervision

Research guidance and supervision across doctoral, postgraduate, and undergraduate levels in applied mathematics, fractional calculus, mathematical modeling, and related areas.

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DOCTORAL RESEARCH EXTERNAL CO-SUPERVISOR

Mr. Mukesh Kumar

Vivekananda Global University, Jaipur

Research Topic: Study of Special Functions and Fractional Calculus

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DOCTORAL RESEARCH EXTERNAL CO-SUPERVISOR

Ms. Priyanka

Vivekananda Global University, Jaipur

Research Topic: Mathematical Modeling of Infectious Diseases Using Fractional Operators

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POSTGRADUATE RESEARCH DISSERTATION SUPERVISOR

Mr. Sandile Lindokuhle Nxumalo (International Student - AIMS-South Africa)

AIMS-South Africa

Dissertation: Mathematical Analysis of Illicit Drug Consumption Dynamics with Addiction and Mental Health Effects

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UNDERGRADUATE RESEARCH DISSERTATION SUPERVISOR

Ms. Astha

SRMUH

Dissertation: Mathematical Modeling of Radioactive Decay Using Differential Equations, Numerical Methods, and Fractional Calculus

ACADEMIC GUIDANCE

Research Mentoring and Academic Guidance

Academic mentoring and research guidance provided to doctoral researchers, postgraduate students, faculty members, and early-career researchers across different institutions.

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Dr. Manisha Meena

Assistant Professor — Motilal Nehru College, University of Delhi, New Delhi.
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Dr. Himani Agarwal

Assistant Professor — Dr. Bhimrao Ambedkar University, Agra.
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Dr. Nishant

TGT — Government of NCT of Delhi.
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Dr. M. Manivel

Assistant Professor — Vel Tech R&D Institute of Science and Technology, Chennai.
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Dr. S. Mohamed Yaceena

Independent Academic Tutor — Chennai.
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Ms. Taruna Garg

Ph.D. Scholar (Thesis Submitted) — Guru Kashi University, Bathinda.
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Ms. Rashami Sharma

Ph.D. Scholar (Thesis Submitted) — Vivekananda Global University, Jaipur.
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Mr. Kaushal Soni

Ph.D. Scholar (Thesis Submitted) — NIT Raipur.
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Ms. Priti Purohit

Ph.D. Scholar — Vardhman Mahaveer Open University, Kota.
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Mr. Pravesh Kumar

Ph.D. Scholar — Maa Shakumbhari University, Saharanpur.
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Ms. Pinki Rani

Ph.D. Scholar — Gurugram University, Gurugram.
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Mr. Vikram

Ph.D Scholar — Vivekananda Global University, Jaipur.
SCHOLARLY SERVICE

Editorial & Peer-Review Activities

Editorial appointments, peer-review contributions, and guest-editing activities across mathematics and interdisciplinary journals.

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JOURNAL LEADERSHIP ACTIVE APPOINTMENTS

Associate Editor

Discover Public Health • Discover Viruses • Franklin Open • Clareus Scientific Science and Engineering • NERD Publications

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GOVERNANCE EDITORIAL BOARD

Editorial Board Member

Jambura Journal of Mathematics • Euler: Jurnal Ilmiah Matematika, Sains dan Teknologi • International Journal of Advanced Multidisciplinary Application

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PEER REVIEW SERVICE 90+ REVIEWS COMPLETED

Peer Reviewer Credentials

Over 90+ peer reviews completed for prestigious international mathematics and engineering journals, notably including:

American Mathematical Society (AMS) & zbMATH Open — 90+ peer reviews for high-impact international journals, including American Mathematical Society (AMS) (Reviewer ID: 170429) and zbMATH Open (Reviewer ID: 21394).
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SPECIAL ISSUES FORTHCOMING

Special Guest Editor

2026 — Mathematics Open Journal
Special Issue: Special Issue: Fractional Calculus in Mathematical Modelling and Dynamical Systems
2026 — Journal of Discontinuity, Nonlinearity and Complexity
Special Issue: Special Issue: Fractional Dynamical Systems: Modeling, Analysis, and Computational Methods