World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
52
Citations
16731
World Ranking
940
National Ranking
48

Overview

Rudolf Gorenflo was affiliated with Freie Universität Berlin in Germany. Their research spanned multiple disciplines, primarily focusing on mathematics, with additional work in computer science and engineering.

The main fields of study in Gorenflo's research included:

  • Mathematics
  • Computer Science
  • Engineering

Within these fields, the scientist contributed to several subfields, notably:

  • Applied Mathematics
  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Numerical Analysis
  • Mechanics of Materials

The key topics covered in their work were diverse and spanned various aspects of mathematical theory and its applications:

  • Mathematical functions and polynomials
  • Fractional Differential Equations Solutions
  • Functional Equations Stability Results
  • Matrix Theory and Algorithms
  • Nonlinear Differential Equations Analysis
  • Iterative Methods for Nonlinear Equations
  • Numerical methods in engineering

Gorenflo collaborated frequently with several co-authors over their career. Notable collaborators included:

  • Anatoly A. Kilbas
  • Francesco Mainardi
  • Sergei Rogosin

In terms of book publications, the scientist authored a notable work published by Springer Science+Business Media:

  • Mittag-Leffler Functions, Related Topics and Applications (2020), cited 768 times

Best Publications

  • Fractional Calculus: Integral and Differential Equations of Fractional Order

    Rudolf Gorenflo;Francesco Mainardi

  • Mittag-Leffler Functions, Related Topics and Applications

    Rudolf Gorenflo;Anatoly A. Kilbas;Francesco Mainardi;Sergei V. Rogosin

  • Multi-index Mittag-Leffler Functions

    Rudolf Gorenflo;Anatoly A. Kilbas;Francesco Mainardi;Sergei V. Rogosin

  • Fractional calculus and continuous-time finance

    Enrico Scalas;Rudolf Gorenflo;Francesco Mainardi

  • On Mittag-Leffler-type functions in fractional evolution processes

    Francesco Mainardi;Rudolf Gorenflo

  • Fractional calculus and continuous-time finance II: the waiting- time distribution

    Francesco Mainardi;Marco Raberto;Rudolf Gorenflo;Enrico Scalas

  • AN OPERATIONAL METHOD FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS WITH THE CAPUTO DERIVATIVES

    Yurii Luchko;Rudolf Gorenflo

  • Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations.

    A. V. Chechkin;R. Gorenflo;I. M. Sokolov;I. M. Sokolov

  • Time Fractional Diffusion: A Discrete Random Walk Approach

    Rudolf Gorenflo;Francesco Mainardi;Daniele Moretti;Paolo Paradisi

  • Discrete random walk models for space-time fractional diffusion

    Rudolf Gorenflo;Francesco Mainardi;Daniele Moretti;Gianni Pagnini

  • Wright functions as scale-invariant solutions of the diffusion-wave equation

    Rudolf Gorenflo;Yuri Luchko;Francesco Mainardi

  • Fractional Calculus and Continuous-Time Finance III : the Diffusion Limit

    Rudolf Gorenflo;Francesco Mainardi;Enrico Scalas;Marco Raberto

  • Fractional diffusion in inhomogeneous media

    A V Chechkin;R Gorenflo;I M Sokolov

  • Abel Integral Equations: Analysis and Applications

    Rudolf Gorenflo;Sergio Vessella

  • Hilfer–Prabhakar derivatives and some applications

    Roberto Garra;Rudolf Gorenflo;Federico Polito;Zivorad Tomovski

  • Analytical properties and applications of the Wright function

    Rudolf Gorenflo;Yuri Luchko;Francesco Mainardi

  • A fractional generalization of the Poisson processes

    Francesco Mainardi;R. Gorenflo;E. Scalas

  • Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation.

    Enrico Scalas;Rudolf Gorenflo;Francesco Mainardi

  • Abel integral equations

    Rudolf. Gorenflo

  • Time-fractional derivatives in relaxation processes: a tutorial survey

    Francesco Mainardi;Rudolf Gorenflo

Frequent Co-Authors

Francesco Mainardi
Francesco Mainardi National Institute for Nuclear Physics
Marco Raberto
Marco Raberto University of Genoa
Anatoly A. Kilbas
Anatoly A. Kilbas Belarusian State University
Yuri Luchko
Yuri Luchko Beuth University of Applied Sciences
Igor M. Sokolov
Igor M. Sokolov Tufts University
Masahiro Yamamoto
Masahiro Yamamoto University of Tokyo

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Best Scientists Citing Rudolf Gorenflo