Gottfried Wilhelm Leibniz
Core Contributions
Leibniz is the founding father of the idea of fractional calculus. In 1695, he first proposed the concept of a half-order derivative in a letter to L'Hôpital, extending integer-order calculus to arbitrary real orders and opening the mathematical branch of fractional calculus.
Selected Works
| Year | Work / Correspondence | Problem Addressed |
|---|---|---|
| 1695 | Letter to L'Hôpital: On the concept of half-order derivatives | First proposed the idea of extending the order of derivatives from integers to fractions, laying the conceptual foundation of fractional calculus |
| 1684 | Nova methodus pro maximis et minimis (New Method) | Published the fundamental notation and rules of calculus, providing an operational framework for subsequent fractional-order extensions |
| 1710 | Letter to Johann Bernoulli: On the possibility of fractional differentiation | Further explored the algebraic feasibility of differentiation of arbitrary order, confirming the fractional derivative formula for power functions |