Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number powers of the differentiation operator
In fractional calculus, an area of mathematical analysis, the differintegral is a combined differentiation/integration operator. Applied to a function ƒ, the q-differintegral of f, here denoted by
Joseph Liouville was a French mathematician and engineer.
Fractional-order control (FOC) is a field of control theory that uses the fractional-order integrator as part of the control system design toolkit. The use of fractional calculus (FC) can improve and generalize well-established control methods and strategies.
Mathai Varghese is a mathematician at the University of Adelaide. His first most influential contribution is the Mathai–Quillen formalism, which he formulated together with Daniel Quillen, and which has since found applications in index theory and topological quantum field theory. He was appointed a full professor in 2006. He was appointed Director of the Institute for Geometry and its Applications in 2009. In 2011, he was elected a Fellow of the Australian Academy of Science. In 2013, he was appointed the Elder Professor of Mathematics at the University of Adelaide, and was elected a Fellow of the Royal Society of South Australia. In 2017, he was awarded an ARC Australian Laureate Fellowship. In 2021, he was awarded the prestigious Hannan Medal and Lecture from the Australian Academy of Science, recognizing an outstanding career in Mathematics. In 2021, he was also awarded the prestigious George Szekeres Medal which is the Australian Mathematical Society’s most prestigious medal, recognising research achievement and an outstanding record of promoting and supporting the discipline.
Operational calculus, also known as operational analysis, is a technique by which problems in analysis, in particular differential equations, are transformed into algebraic problems, usually the problem of solving a polynomial equation.
Jean-Michel Bismut is a French mathematician who has been a professor at the Université Paris-Sud since 1981. His mathematical career covers two apparently different branches of mathematics: probability theory and differential geometry. Ideas from probability play an important role in his works on geometry.
Nonstandard analysis and its offshoot, nonstandard calculus, have been criticized by several authors, notably Errett Bishop, Paul Halmos, and Alain Connes. These criticisms are analyzed below.
Ahmed I. Zayed is an Egyptian American mathematician. His research interests include Sampling Theory, Wavelets, Medical Imaging, Fractional Fourier transform，Sinc Approximations, Boundary Value Problems, Special Functions and Orthogonal polynomials, Integral transforms.
Emmanuel A. Gonzalez is a Filipino educator and engineer. He became the Existing Installation Business Director at Jardine Schindler Elevator Corporation in 2015, a joint venture between Jardine Matheson and Schindler Group, until he moved to Holland, Ohio in the United States as the Reliability Manager for the Existing Installation Department of Schindler Elevator Corporation in 2017. He is a senior member of the Institute of Electrical and Electronics Engineers (IEEE) through the IEEE Toledo Section, a member of the Society of Maintenance and Reliability Professionals (SMRP), and an associate member of the National Research Council of the Philippines (NRCP) under the Department of Science and Technology (DOST). He is a recipient of the IEEE Education Distinguished Chapter Leadership Award in 2009 and the IEEE Education Society Student Leadership Award in 2010. Gonzalez currently serves as member-at-large for the IEEE Toledo Section,.
Yuri Luchko is a German professor of mathematics at the Berlin University of Applied Sciences and Technology. His 90 works were peer-reviewed and appeared in such journals as the Fractional Calculus and Applied Analysis and Journal of Mathematical Analysis and Applications, among others.
Francesco Mainardi is an Italian physicist and mathematician.
Discrete Applied Mathematics is a peer-reviewed scientific journal covering algorithmic and applied areas of discrete mathematics. It is published by Elsevier and the editor-in-chief is Endre Boros. The journal was split off from another Elsevier journal, Discrete Mathematics, in 1979, with that journal's founder Peter Ladislaw Hammer as its founding editor-in-chief.
Stevan Pilipović is a Professor of Mathematics, since 1987, at the Department of Mathematics and Informatics of Novi Sad University.
Yuliya Stepanivna Mishura is a Ukrainian mathematician specializing in probability theory and mathematical finance. She is a professor at the Taras Shevchenko National University of Kyiv.
Francesca Biagini is a German and Italian mathematician specializing in mathematical finance, stochastic calculus, and probability theory. Topics in her research include fractional Brownian motion and portfolio optimization for inside traders. She is a professor of applied mathematics and vice president for international affairs and diversity at Ludwig Maximilian University of Munich, and president of the Bachelier Finance Society.
Agnieszka Barbara Malinowska is a Polish mathematician known for her research and books on fractional calculus and the fractional calculus of variations. She is an associate professor of mathematics, in the faculty of computer science of Bialystok University of Technology.
Virginia S. Kiryakova is a Bulgarian mathematician known for her work on the fractional calculus, on special functions in fractional calculus including the Mittag-Leffler functions, and on the history of calculus. She is a professor in the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences.
