A brief historical introduction to fractional calculus

By Lokenath Debnath. 2004

176 citations recorded by the source corpus.

Subfields: Mathematical Physics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/f7bcb58de5ffc283c48b13eee421c5031c9314b0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. Poom Kumam
2. Vasily E. Tarasov
3. YangQuan Chen

In Modeling and Simulation

1. Saeed Islam
2. Vasily E. Tarasov
3. YangQuan Chen
4. Dumitru Băleanu
5. Om Prakash Agrawal
6. Ivo Petrás
7. Valentina V. Tarasova
8. Martin Ostoja-Starzewski

In Numerical Analysis

1. Saeed Islam
2. Poom Kumam
3. Vasily E. Tarasov
4. YangQuan Chen
5. Om Prakash Agrawal
6. Dumitru Băleanu
7. Delfim F. M. Torres
8. Ivo Petrás

Citations in the corpus

• UBIQUITOUS FRACTIONAL ORDER CONTROLS (2006, background): “After Newton and Leibniz discovered calculus in the 17th century, fractional-order calculus has been studied as an alternative calculus in mathematics (Debnath, 2004; Magin, 2004).”
• On chain rule for fractional derivatives (2016, background): “Derivatives and integrals of non-integer orders [1–3] have a long history [1,4–8].”
• Fractional Neuro-Sequential ARFIMA-LSTM for Financial Market Forecasting (2020, background): “The first application of fractional order mathematics contributed by Abel [21] in 1823 who solved the autochrome integral order problem with the fractional derivative of half order.”