Fractional Calculus and Applied Analysis

19.3k citations
1.1k papers · indexed · active since 1950

Impact in

    • Fractional Differential Equations Solutions
    • Differential Equations and Numerical Methods
    • Iterative Methods for Nonlinear Equations
    • Numerical methods for differential equations

Papers in

    • Fractional Differential Equations Solutions 764
    • Nonlinear Differential Equations Analysis 455
    • Differential Equations and Boundary Problems 180
    • Nonlinear Partial Differential Equations 114
    • Mathematical functions and polynomials 89

Fractional Calculus and Applied Analysis

1.0k papers receiving 18.3k citations

Peers

Fractional Calculus and Applied Analysis
Comparison fields: 5 of 148
  • Modeling and Simulation 14.1k
  • Numerical Analysis 7.1k
  • Applied Mathematics 9.7k
  • Mathematical Physics 2.0k
  • Statistical and Nonlinear Physics 2.5k
Replace International Journal of Nonlinear Sciences and Numerical Simulation with:
International Journal of Nonlinear Sciences and Numerical Simulation China
Advances in Computational Mathematics United States
IMA Journal of Numerical Analysis United Kingdom
European Journal of Applied Mathematics United Kingdom
Discrete and Continuous Dynamical Systems - S China
Integral Transforms and Special Functions China
Electronic journal of qualitative theory of differential equations China
Applied Mathematics & Optimization United States
Communications in Mathematical Sciences China
Journal of Function Spaces China
Fractional Calculus and Applied Analysis relative to International Journal of Nonlinear Sciences and Numerical Simulation China International Journal of Nonlinear Sciences and Numerical Simulation's profile →
Citations per field
00.5×5.9×
International Journal of Nonlinear Sciences and Numerical Simulation · 1×
Citations per year

Countries where authors publish in Fractional Calculus and Applied Analysis

Since Specialization
Citations

This map shows the geographic impact of research published in Fractional Calculus and Applied Analysis. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by papers published in Fractional Calculus and Applied Analysis with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Fractional Calculus and Applied Analysis more than expected).

Fields of papers published in Fractional Calculus and Applied Analysis

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers published in Fractional Calculus and Applied Analysis. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers published in Fractional Calculus and Applied Analysis.

About Fractional Calculus and Applied Analysis

The 1.1k papers published in Fractional Calculus and Applied Analysis in the last decades have received a total of 19.3k indexed citations . Papers published in Fractional Calculus and Applied Analysis usually cover Modeling and Simulation (767 papers), Applied Mathematics (702 papers), Numerical Analysis (351 papers), Mathematical Physics (200 papers) and Control and Systems Engineering (179 papers) specifically the topics of Fractional Differential Equations Solutions (764 papers), Nonlinear Differential Equations Analysis (455 papers), Differential Equations and Numerical Methods (198 papers), Differential Equations and Boundary Problems (180 papers), Iterative Methods for Nonlinear Equations (119 papers), Nonlinear Partial Differential Equations (114 papers), Mathematical functions and polynomials (89 papers) and Advanced Control Systems Design (87 papers). The most active scholars publishing in Fractional Calculus and Applied Analysis are J. A. Tenreiro Machado, Yuri Luchko, Virginia Kiryakova, Francesco Mainardi, Masahiro Yamamoto, YangQuan Chen, Dumitru Bǎleanu, Fawang Liu, Kai Diethelm and Bashir Ahmad.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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