Leaderboards/Mathematical and Theoretical Analysis

Mathematical and Theoretical Analysis

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Rashid Jan
Qassim University
2
Fan Qin
Beijing Normal University
3
Hafiz Muhammad Fahad
Diakonie Kork
4
Roman Badora
Institute of Mathematics
5
Manuj Verma
Indian Institute of Technology Delhi
6
Francisco Martínez
Universidad Politécnica de Cartagena
7
Aingeru Fernández-Bertolin
University of the Basque Country
8
R.M. Al-Masroub
University Elmergib
9
Lakhlifa Sadek
Chouaib Doukkali University
10
Maik Reddiger
Anhalt University of Applied Sciences

Rising Stars Papers

1
Fractional view analysis of the impact of vaccination on the dynamics of a viral infection
Alexandria Engineering Journal|2024
60 cit.
2
A 3D hydrangea-like NiMoO4/rGO/PANI hybrid composite for high performance asymmetric supercapacitor
Electrochimica Acta|2024
34 cit.
3
Introducing novel <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.svg" display="inline" id="d1e26"><mml:mi>Θ</mml:mi></mml:math>-fractional operators: Advances in fractional calculus
Journal of King Saud University - Science|2024
31 cit.
4
Controllability, observability, and stability of φ‐conformable fractional linear dynamical systems
Asian Journal of Control|2024
24 cit.
5
The general Caputo–Katugampola fractional derivative and numerical approach for solving the fractional differential equations
Alexandria Engineering Journal|2025
23 cit.
6
Nonlinear Dynamics of a Zoonotic Disease with Control Interventions through Fractional Derivative
European Journal of Pure and Applied Mathematics|2024
18 cit.
7
The Galerkin Bell method to solve the fractional optimal control problems with inequality constraints
Journal of Computational Science|2024
17 cit.
8
Modeling the co-dynamics of vector-borne infections with the application of optimal control theory
Discrete and Continuous Dynamical Systems - S|2024
16 cit.
9
On quantum trigonometric fractional calculus
Alexandria Engineering Journal|2025
16 cit.
10
Modeling and stability analysis of substance abuse in women with control policies
Partial Differential Equations in Applied Mathematics|2024
14 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Arran Fernandez
Eastern Mediterranean University
2
Lorenzo Fiaschi
University of Pisa
3
Muhammad Idrees
Nanjing University of Information Science and Technology
4
P. Veeresha
Christ University
5
Hui Fu
Harbin Institute of Technology
6
Daniel E. Bentil
University of Vermont
7
Ndolane Sene
Cheikh Anta Diop University
8
Philip Ehrlich
Ohio University
9
F. Brambila-Paz
Universidad Nacional Autónoma de México
10
Lorenzo Brasco
University of Ferrara

Emerging Leaders Papers

1
On fractal-fractional Covid-19 mathematical model
Chaos Solitons & Fractals|2022
76 cit.
2
Weighted Fractional Calculus: A General Class of Operators
Fractal and Fractional|2022
52 cit.
3
Analytical Solutions of a Class of Fluids Models with the Caputo Fractional Derivative
Fractal and Fractional|2022
49 cit.
4
The efficient fractional order based approach to analyze chemical reaction associated with pattern formation
Chaos Solitons & Fractals|2022
47 cit.
5
Dynamics of chaotic waterwheel model with the asymmetric flow within the frame of Caputo fractional operator
Chaos Solitons & Fractals|2023
47 cit.
6
An efficient technique to analyze the fractional model of vector-borne diseases
Physica Scripta|2022
45 cit.
7
Second-grade fluid with Newtonian heating under Caputo fractional derivative: analytical investigations via Laplace transforms
Mathematical Modelling and Numerical Simulation with Applications|2022
42 cit.
8
Effects of global warming, time delay and chaos control on the dynamics of a chaotic atmospheric propagation model within the frame of Caputo fractional operator
Communications in Nonlinear Science and Numerical Simulation|2023
42 cit.
9
Generalising the fractional calculus with Sonine kernels via conjugations
Journal of Computational and Applied Mathematics|2023
31 cit.
10
On the importance of conjugation relations in fractional calculus
Computational and Applied Mathematics|2022
29 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Kenneth A. Hoffman
University of Minnesota
2
Francesco Mainardi
Osservatorio astronomico di Bologna
3
Saharon Shelah
Hebrew University of Jerusalem
4
David Tall
University of Warwick
5
Robert Schrader
Mitchell Institute
6
Themistocles M. Rassias
National Technical University of Athens
7
Hossein Jafari
University of South Africa
8
Ali Özyapıcı
Cyprus International University
9
Thabet Abdeljawad
Prince Sultan University
10
Frank Wilczek
Stockholm University

Current Senior Leaders Papers

1
Problem of Strong<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>T</mml:mi></mml:math>Invariance in the Presence of Instantons
Physical Review Letters|1978
4.7k cit.
2
Ultraviolet Behavior of Non-Abelian Gauge Theories
Physical Review Letters|1973
4.3k cit.
3
Cosmology of the invisible axion
Physics Letters B|1983
3.3k cit.
4
On the stability of the linear mapping in Banach spaces
Proceedings of the American Mathematical Society|1978
2.8k cit.
5
Banach Spaces of Analytic Functions.
American Mathematical Monthly|1964
2.5k cit.
6
Hawking Radiation As Tunneling
Physical Review Letters|2000
2k cit.
7
On conformable fractional calculus
Journal of Computational and Applied Mathematics|2014
2k cit.
8
Concept image and concept definition in mathematics with particular reference to limits and continuity
Educational Studies in Mathematics|1981
1.9k cit.
9
Geometric and renormalized entropy in conformal field theory
Nuclear Physics B|1994
1.8k cit.
10
Appearance of Gauge Structure in Simple Dynamical Systems
Physical Review Letters|1984
1.8k cit.

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