Leaderboards/Fractional Differential Equations Solutions

Fractional Differential Equations Solutions

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Muhammad Bilal
Central South University
2
S M Sivalingam
ITPEnergised Group (India)
3
Marimuthu Mohan Raja
Kyungpook National University
4
Gorka Muñoz-Gil
Universität Innsbruck
5
Smina Djennadi
University of Béjaïa
6
Yu-Hang Yin
Minzu University of China
7
Safoura Rezaei Aderyani
Iran University of Science and Technology
8
Sidheswar Behera
Veer Surendra Sai University of Technology
9
U.H.M. Zaman
University of Malakand
10
Hanifa Hanif
Sardar Bahadur Khan Women's University

Rising Stars Papers

1
Kinetic analysis and numerical tests of an adaptive car-following model for real-time traffic in ITS
Physica A Statistical Mechanics and its Applications|2024
58 cit.
2
Maximizing thermal efficiency of a cavity using hybrid nanofluid
Journal of Cleaner Production|2024
31 cit.
3
A Chebyshev neural network-based numerical scheme to solve distributed-order fractional differential equations
Computers & Mathematics with Applications|2024
31 cit.
4
Quantitative evaluation of methods to analyze motion changes in single-particle experiments
Nature Communications|2025
29 cit.
5
A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations
Mathematics and Computers in Simulation|2024
27 cit.
6
Optical solitons for the Hirota–Ramani equation via improved G′G-expansion method
Modern Physics Letters B|2024
25 cit.
7
Heat transfer in hybrid nanofluid flow between two coaxial cylinders
Case Studies in Thermal Engineering|2024
22 cit.
8
Application of modified extended direct algebraic method to nonlinear fractional diffusion reaction equation with cubic nonlinearity
Boundary Value Problems|2025
19 cit.
9
Optimized Charge Dynamics of Sr<sub>2</sub>Fe<sub>2</sub>O<sub>5</sub>/rGO Composite Electrodes: Redefining Supercapacitor Efficiency
ECS Journal of Solid State Science and Technology|2024
18 cit.
10
Multiple soliton solutions of some conformable fractional nonlinear models using Sine–Cosine method
Optical and Quantum Electronics|2024
18 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Hijaz Ahmad
Korea University
2
Arran Fernandez
Eastern Mediterranean University
3
Mehmet Yavuz
University of Exeter
4
Nasrin Samadyar
Kermanshah University of Technology
5
Muhammad Bilal Riaz
VSB - Technical University of Ostrava
6
Mohammad Esmael Samei
Bu-Ali Sina University
7
Lanre Akinyemi
Prairie View A&M University
8
İlknur Koca
Muğla University
9
Sania Qureshi
Mehran University of Engineering and Technology
10
Seda İğret Araz
Siirt Üniversitesi

Emerging Leaders Papers

1
Effects of the higher-order dispersion on solitary waves and modulation instability in a monomode fiber
Optik|2023
129 cit.
2
Optical solitons in metamaterials with third and fourth order dispersions
Optical and Quantum Electronics|2022
103 cit.
3
The integrable Boussinesq equation and it’s breather, lump and soliton solutions
Nonlinear Dynamics|2022
79 cit.
4
Computational techniques to study the dynamics of generalized unstable nonlinear Schrödinger equation
Journal of Ocean Engineering and Science|2022
73 cit.
5
Shallow ocean soliton and localized waves in extended (2 + 1)-dimensional nonlinear evolution equations
Physics Letters A|2023
71 cit.
6
Dynamical behaviour of Chiral nonlinear Schrödinger equation
Optical and Quantum Electronics|2022
70 cit.
7
New solutions for the generalized resonant nonlinear Schrödinger equation
Results in Physics|2022
67 cit.
8
Enhancing supercapacitor performance through design optimization of laser-induced graphene and MWCNT coatings for flexible and portable energy storage
Scientific Reports|2023
67 cit.
9
MHD nanofluid flow and heat transfer caused by a stretching sheet that is heated convectively: An approximate solution using ADM
Case Studies in Thermal Engineering|2024
67 cit.
10
Integrability, multi-solitons, breathers, lumps and wave interactions for generalized extended Kadomtsev–Petviashvili equation
Nonlinear Dynamics|2022
60 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Dumitru Bǎleanu
Lebanese American University
2
YangQuan Chen
University of California, Merced
3
Thabet Abdeljawad
Prince Sultan University
4
Mehdi Dehghan
Amirkabir University of Technology
5
Shaher Momani
University of Jordan
6
J. F. Gómez‐Aguilar
Universidad Autónoma del Estado de Morelos
7
Yong Zhou
Guangdong Provincial People's Hospital
8
Juan J. Nieto
Universidade de Santiago de Compostela
9
Shahram Rezapour
Duy Tan University
10
Abdon Atangana
Twitter (United States)

Current Senior Leaders Papers

1
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.
2
On conformable fractional calculus
Journal of Computational and Applied Mathematics|2014
2k cit.
3
A new collection of real world applications of fractional calculus in science and engineering
Communications in Nonlinear Science and Numerical Simulation|2018
1.7k cit.
4
Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations
Order|2005
1.3k cit.
5
Tuning and auto-tuning of fractional order controllers for industry applications
Control Engineering Practice|2008
993 cit.
6
Fractional order control - A tutorial
Unknown Journal|2009
942 cit.
7
Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order
Chaos Solitons & Fractals|2016
857 cit.
8
Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system
Chaos Solitons & Fractals|2017
820 cit.
9
A new operational matrix for solving fractional-order differential equations
Computers & Mathematics with Applications|2009
793 cit.
10
A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative
Chaos Solitons & Fractals|2020
764 cit.

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