Leaderboards/Nonlinear Differential Equations Analysis

Nonlinear Differential Equations Analysis

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Marimuthu Mohan Raja
Kyungpook National University
2
Sayyedeh Narges Hajiseyedazizi
Bu-Ali Sina University
3
Haneen Badawi
Palestine Technical University - Kadoorie
4
Pallavi Bedi
Central University of Punjab
5
Amar Benkerrouche
Université Djilali de Sidi Bel Abbès
6
C. S. Varun Bose
SRM Institute of Science and Technology
7
M. Johnson
Dongguk University
8
Safoura Rezaei Aderyani
Iran University of Science and Technology
9
Manal Alqhtani
Najran University
10
Hind Sweis
University of Jordan

Rising Stars Papers

1
Existence, uniqueness, and galerkin shifted Legendre's approximation of time delays integrodifferential models by adapting the Hilfer fractional attitude
Heliyon|2024
31 cit.
2
Qualitative behavior of a highly non-linear Cutaneous Leishmania epidemic model under convex incidence rate with real data
Mathematical Biosciences & Engineering|2024
30 cit.
3
Existence, uniqueness, and collocation solutions using the shifted Legendre spectral method for the Hilfer fractional stochastic integro-differential equations regarding stochastic Brownian motion
Results in Applied Mathematics|2024
29 cit.
4
Well-posedness analysis and pseudo-Galerkin approximations using Tau Legendre algorithm for fractional systems of delay differential models regarding Hilfer (α,β)-framework set
PLoS ONE|2024
22 cit.
5
Optimal control results for fractional differential hemivariational inequalities of order <i>r</i> (1, 2)
Optimization|2024
15 cit.
6
Improved order in Hilfer fractional differential systems: Solvability and optimal control problem for hemivariational inequalities
Chaos Solitons & Fractals|2024
14 cit.
7
Existence and optimal control results for Caputo fractional delay Clark's subdifferential inclusions of order r∈(1,2) with sectorial operators
Optimal Control Applications and Methods|2024
12 cit.
8
Theoretical study and numerical analysis using step spectral collocation method for stochastic M-fractional differential models of simplified Brownian motion within constant delays process
Journal of Applied Mathematics and Computing|2025
12 cit.
9
The Mittag-Leffler–Caputo–Fabrizio Fractional Derivative and Its Numerical Approach
Symmetry|2025
11 cit.
10
Existence, uniqueness, and numerical analysis of fractional M-derivative stochastic integrodifferential models within the shifted Legendre Gauss pseudospectral algorithm
Fluctuation and Noise Letters|2025
11 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Mohammad Esmael Samei
Bu-Ali Sina University
2
Omar Bazighifan
University of Aden
3
İlknur Koca
Muğla University
4
Arran Fernandez
Eastern Mediterranean University
5
Satish K. Panchal
Dr. Babasaheb Ambedkar Marathwada University
6
Mohammed K. A. Kaabar
Washington State University
7
Ali Muhib
Jadara University
8
Mati ur Rahman
Imam Mohammad ibn Saud Islamic University
9
J. Vanterler da C. Sousa
Universidade Estadual do Maranhão
10
Ranbir Kumar
Birla Institute of Technology, Mesra

Emerging Leaders Papers

1
ON NONLINEAR EVOLUTION MODEL FOR DRINKING BEHAVIOR UNDER CAPUTO-FABRIZIO DERIVATIVE
Journal of Applied Analysis & Computation|2022
145 cit.
2
Enhancing catalytic activity of gold nanoparticles in a standard redox reaction by investigating the impact of AuNPs size, temperature and reductant concentrations
Scientific Reports|2023
101 cit.
3
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation
Boundary Value Problems|2024
71 cit.
4
On the Stochastic Modeling of COVID-19 under the Environmental White Noise
Journal of Function Spaces|2022
67 cit.
5
A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients
Results in Control and Optimization|2023
64 cit.
6
Weighted Fractional Calculus: A General Class of Operators
Fractal and Fractional|2022
52 cit.
7
Bifurcations, chaotic behavior, sensitivity analysis and new optical solitons solutions of Sasa-Satsuma equation
Nonlinear Dynamics|2024
45 cit.
8
Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions
Mathematics|2022
44 cit.
9
DPPH radical scavenging assay: A tool for evaluating antioxidant activity in 3 % cobalt – Doped hydroxyapatite for orthopaedic implants
Ceramics International|2024
42 cit.
10
A Novel Computational Tool for the Fractional-Order Special Functions Arising from Modeling Scientific Phenomena via Abu-Shady–Kaabar Fractional Derivative
Computational and Mathematical Methods in Medicine|2022
40 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Dumitru Bǎleanu
Lebanese American University
2
Donal O’Regan
National University of Ireland
3
Juan J. Nieto
Universidade de Santiago de Compostela
4
Yong Zhou
Guangdong Provincial People's Hospital
5
Paul H. Rabinowitz
University of Pisa
6
Thabet Abdeljawad
Prince Sultan University
7
Sotiris K. Ntouyas
University of Ioannina
8
Shahram Rezapour
Duy Tan University
9
Delfim F. M. Torres
University of Aveiro
10
Ravi P. Agarwal
Florida Institute of Technology

Current Senior Leaders Papers

1
Dual variational methods in critical point theory and applications
Journal of Functional Analysis|1973
4.4k cit.
2
New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model
DOAJ (DOAJ: Directory of Open Access Journals)|2016
3.9k cit.
3
Bifurcation from simple eigenvalues
Journal of Functional Analysis|1971
2.1k cit.
4
On conformable fractional calculus
Journal of Computational and Applied Mathematics|2014
2k cit.
5
Some global results for nonlinear eigenvalue problems
Journal of Functional Analysis|1971
1.9k cit.
6
On a class of nonlinear Schr�dinger equations
Zeitschrift für angewandte Mathematik und Physik|1992
1.6k cit.
7
Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations
Order|2005
1.3k cit.
8
Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
Applied Mathematics Letters|1998
826 cit.
9
A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions
Acta Applicandae Mathematicae|2008
823 cit.
10
Bifurcation, perturbation of simple eigenvalues, itand linearized stability
Archive for Rational Mechanics and Analysis|1973
818 cit.

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