Concepedia

Fractional Differential Equations

Fractional Differential Equations is a type of differential equation that generalizes classical differential equations by involving derivatives of non-integer (fractional) order, thereby capturing memory and hereditary properties of various processes.

16.2K

Publications

837.8K

Citations

13.5K

Authors

3.5K

Institutions

Publications per year

2017–2026

9.1K

Variants

Fractional Differential Equation

Parents

Publications

16.2K

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

Dumitru Bǎleanu · DOAJ (DOAJ: Directory of Open Access Journals) · 2016 · 3.9K citations · Full text

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A new definition of fractional derivative

Roshdi Khalil, Mohammed Al Horani, A. Yousef et al. · Journal of Computational and Applied Mathematics · 2014 · 3.4K citations

, , +3

Analysis of Fractional Differential Equations

Kai Diethelm, Neville J. Ford · Journal of Mathematical Analysis and Applications · 2002 · 3.2K citations

, , +3

Application of a fractional-step method to incompressible Navier-Stokes equations

John Kim, Parviz Moin · Journal of Computational Physics · 1985 · 3K citations

, , +11

A new Definition of Fractional Derivative without Singular Kernel

Michèle Caputo, Mauro Fabrizio · 2015 · 2.4K citations

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1–5 of 16.2K

Authors

13.5K

  1. DB
    Dumitru Bǎleanu

    Çankaya University, Türkiye

    656 publications · 48.9K citations

    110

    h-index

  2. SM
    Shaher Momani

    University of Jordan, Jordan

    131 publications · 13.2K citations

    63

    h-index

  3. TA
    Thabet Abdeljawad

    Prince Sultan University, Saudi Arabia

    234 publications · 14.9K citations

    59

    h-index

  4. JF
    J. F. Gómez‐Aguilar

    Centro Nacional de Investigación y Desarrollo Tecnológico, Mexico

    155 publications · 9K citations

    56

    h-index

  5. YZ
    Yong Zhou

    Xiangtan University, China

    136 publications · 10.2K citations

    56

    h-index

1–5 of 13.5K

Institutions

3.5K

  1. Çankaya University

    Ankara, Türkiye

    113 h-index

    773 publications

    60K citations

  2. Institute of Space Science - INFLPR Subsidiary

    Măgurele, Romania

    100 h-index

    533 publications

    42.4K citations

  3. King Abdulaziz University

    Jeddah, Saudi Arabia

    81 h-index

    978 publications

    41K citations

  4. China Medical University

    Taichung, Taiwan

    75 h-index

    635 publications

    28.7K citations

  5. China Medical University Hospital

    Taichung, Taiwan

    66 h-index

    410 publications

    20K citations

  6. Al-Balqa Applied University

    Salt, Jordan

    62 h-index

    220 publications

    17K citations

  7. University of the Free State

    Bloemfontein, South Africa

    61 h-index

    248 publications

    21.6K citations

  8. Xiangtan University

    Xiangtan, China

    59 h-index

    325 publications

    19.5K citations

1–8 of 3.5K

Venues

  1. Applied Mathematics and Computation

    449 publications · 30.1K citations

    96

    h-index

  2. Computers & Mathematics with Applications

    426 publications · 34.9K citations

    95

    h-index

  3. Chaos Solitons & Fractals

    538 publications · 35.3K citations

    90

    h-index

  4. 84

    h-index

  5. Advances in Difference Equations

    663 publications · 26.2K citations

    77

    h-index

1–5