King Fahd University of Petroleum and Minerals
Department of Mathematics and Statistics
Workshop on
Fractional Models in Science & Engineering (FMSE18)
Theory and Computation

Monday, December 10, 2018
KFUPM Conference Room (Building # 20)

Wednesday, December 12, 2018        A Seminar on


Fractional Calculus: Fundamentals and Applications


Speaker : J. A. Tenreiro Machado


Abstract: Fractional Calculus (FC) started in 1695 when L'H˘pital wrote a letter to Leibniz asking for the meaning of Dny for n = 1/2. Starting with the ideas of Leibniz many important mathematicians developed the theoretical concepts. By the beginning of the twentieth century Olivier Heaviside applied FC in the electrical engineering, but, the visionary and important contributions were forgotten. Only during the eighties FC emerged associated with phenomena such as fractal and chaos and, consequently, in nonlinear dynamical. In the last years, FC become 'new' tool for the analysis of dynamical systems. FC is now recognized to be an important tool to model and control systems with long range memory effects. This lecture introduces the FC fundamental concepts and presents several applications in distinct areas of science and engineering.