Concepedia

Arithmetic Derivative

Arithmetic Derivative is a number-theoretic function defined on the integers that generalizes the concept of differentiation to arithmetic functions by assigning to each integer a value based on the product rule applied to its prime factorization.

11

Publications

371

Citations

19

Authors

11

Institutions

Publications per year

2017–2026

3

Parents

Publications

11

Fractional differentiation and its applications I

Dumitru Bǎleanu, J. A. Tenreiro Machado, Wen Chen · Computers & Mathematics with Applications · 2013 · 87 citations

, , +8

Derivatives of Noninteger Order

Kenneth S. Miller · Mathematics Magazine · 1995 · 71 citations

, , +4

The Parametric Form of Z-Number and Its Application in Z-Number Initial Value Problem

S. Pirmuhammadi, Tofigh Allahviranloo, M. Keshavarz · International Journal of Intelligent Systems · 2017 · 56 citations

, , +10

Computational analysis of financial system through non-integer derivative

Ziad Ur Rehman, Salah Boulaaras, Rashid Jan et al. · Journal of Computational Science · 2023 · 46 citations

, , +14

Derivatives of Noninteger Order

Kenneth S. Miller · Mathematics Magazine · 1995 · 29 citations

, , +4

1–5 of 11

Authors

19

  1. KS
    Kenneth S. Miller

    University of California, Davis, United States

    2 publications · 100 citations

    2

    h-index

  2. RJ
    Richard J. O’Malley

    University of Wisconsin–Milwaukee, United States

    2 publications · 22 citations

    2

    h-index

  3. CE
    Clifford E. Weil

    2 publications · 22 citations

    2

    h-index

  4. RH
    Robert Hewson

    University of Leeds, United Kingdom

    1 publications · 14 citations

    1

    h-index

  5. RJ
    Rashid Jan

    University of Swabi, Pakistan

    1 publications · 46 citations

    1

    h-index

1–5 of 19

Institutions

11

  1. Brookhaven College

    Farmers Branch, United States

    2 h-index

    2 publications

    100 citations

  2. University of Swabi

    Peshawar, Pakistan

    1 h-index

    1 publications

    46 citations

  3. Çankaya University

    Ankara, Türkiye

    1 h-index

    1 publications

    87 citations

  4. University of Toronto

    Toronto, Canada

    1 h-index

    1 publications

    21 citations

  5. Qassim University

    Buraidah, Saudi Arabia

    1 h-index

    1 publications

    46 citations

  6. Imperial College London

    London, United Kingdom

    1 h-index

    2 publications

    28 citations

  7. Bacha Khan University

    Peshawar, Pakistan

    1 h-index

    1 publications

    46 citations

  8. Universiti Tenaga Nasional

    Kuala Selangor, Malaysia

    1 h-index

    2 publications

    92 citations

1–8 of 11

Venues

  1. Mathematics Magazine

    2 publications · 100 citations

    2

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 2 publications · 22 citations

    2

    h-index

  3. ACM Transactions on Mathematical Software

    TOMS · 1 publications · 14 citations

    1

    h-index

  4. Pacific Journal of Mathematics

    1 publications · 15 citations

    1

    h-index

  5. Computers & Mathematics with Applications

    1 publications · 87 citations

    1

    h-index

1–5