Nonlinear Differential Equations Analysis
Nonlinear Differential Equations Analysis is a research topic within Applied Mathematics. Science Explorer counts 28k research works in it since 1950. 16.1% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on the theory and applications of fractional differential equations, covering topics such as boundary value problems, semilinear and impulsive differential equations, existence results, controllability, mild solutions, nonlinear systems, time scales, and functional differential equations.
- Fractional Differential Equations
- Boundary Value Problems
- Semilinear Differential Equations
- Impulsive Differential Equations
- Existence Results
- Controllability
- Mild Solutions
- Nonlinear Systems
- Time Scales
- Functional Differential Equations
- Research works
- 28k fractional, since 1950
- In the world top 10%
- 4.5k per year above
- Top-10% rate
- 16.1% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +21% the tick is no change
Which countries lead Nonlinear Differential Equations Analysis research?
By volume, China and India publish the most (1.1k and 463 works in 2022–2025).
By volume, 2022–2025
- 1 China 1.1k works
- 2 India 463 works
- 3 Saudi Arabia 316 works
- 4 Algeria 198 works
- 5 Türkiye 179 works
- 6 United States 159 works
- 7 Morocco 159 works
- 8 Russia 129 works
- 9 Iran 126 works
- 10 Italy 114 works
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Nonlinear Differential Equations Analysis research?
By volume in 2022–2025, Université Sultan Moulay Slimane publishes the most Nonlinear Differential Equations Analysis research, followed by Vellore Institute of Technology University and King Abdulaziz University.
By volume, 2022–2025
- 1 Université Sultan Moulay SlimaneMorocco 60 works
- 2 Vellore Institute of Technology UniversityIndia 55 works
- 3 King Abdulaziz UniversitySaudi Arabia 39 works
- 4 Northwest Normal UniversityChina 38 works
- 5 Qassim UniversitySaudi Arabia 34 works
- 6 University of SfaxTunisia 26 works
- 7 China Medical UniversityTaiwan 26 works
- 8 Prince Sattam Bin Abdulaziz UniversitySaudi Arabia 25 works
- 9 King Saud UniversitySaudi Arabia 25 works
- 10 Guizhou UniversityChina 23 works
Who are the leading researchers in Nonlinear Differential Equations Analysis?
The most-cited researchers publishing on Nonlinear Differential Equations Analysis include Jinde Cao, Louis Nirenberg and YangQuan Chen.
- 1 Jinde Cao China 4.2k citations
- 2 Louis Nirenberg United States 2.9k citations
- 3 YangQuan Chen United States 2.4k citations
- 4 Dumitru Bǎleanu Türkiye 2.2k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Nonlinear Differential Equations Analysis research done?
The largest centres of Nonlinear Differential Equations Analysis research in 2022–2025 are Riyadh (Saudi Arabia), Beijing (China), Lanzhou (China) and Beni Mellal (Morocco). Among places with at least 20 works in it, it is an unusually large share of all research in Sidi Bel Abbes and Beni Mellal.
Largest cities, 2022–2025
Where it is the local speciality
- Sidi Bel AbbesDZ · 23.3 works98×
- Beni MellalMA · 60.0 works97×
Location quotient: how much more of its research is in Nonlinear Differential Equations Analysis than the world average.
Where is the best place to study Nonlinear Differential Equations Analysis?
Among universities, judged by research, Vellore Institute of Technology University, Prince Sultan University and Prince Sattam Bin Abdulaziz University score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | Vellore Institute of Technology UniversityIndia | 79.9 | 55.7% | 12.4× | 55 | +33.8% |
| 2 | Prince Sultan UniversitySaudi Arabia | 76.9 | 33.3% | 44.8× | 22 | +319.4% |
| 3 | Prince Sattam Bin Abdulaziz UniversitySaudi Arabia | 75.8 | 46.4% | 21.7× | 25 | — |
| 4 | Düzce ÜniversitesiTürkiye | 72.5 | 50.4% | 18.6× | 13 | +550.0% |
| 5 | University of MalakandPakistan | 71.3 | 36.6% | 59.2× | 13 | +427.4% |
| 6 | China Medical UniversityTaiwan | 66.5 | 33.2% | 40.9× | 26 | — |
| 7 | Université Sultan Moulay SlimaneMorocco | 65.7 | 24.6% | 97.0× | 60 | — |
| 8 | King Faisal UniversitySaudi Arabia | 64.8 | 33.9% | 12.9× | 14 | +110.3% |
| 9 | Lebanese American UniversityLebanon | 64.8 | 44.1% | 16.7× | 8 | — |
| 10 | Princess Nourah bint Abdulrahman UniversitySaudi Arabia | 64.7 | 28.1% | 15.4× | 18 | +63.0% |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Nonlinear Differential Equations Analysis research growing?
Output in 2018–2022 was 21% higher than in 2013–2017, peaking in 2021. The fastest-growing topics are Nonlinear Differential Equations Analysis.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.