Guy Jumarie

4.8k total citations · 2 hit papers
159 papers, 3.7k citations indexed

About

Guy Jumarie is a scholar working on Statistical and Nonlinear Physics, Economics and Econometrics and Modeling and Simulation. According to data from OpenAlex, Guy Jumarie has authored 159 papers receiving a total of 3.7k indexed citations (citations by other indexed papers that have themselves been cited), including 88 papers in Statistical and Nonlinear Physics, 37 papers in Economics and Econometrics and 35 papers in Modeling and Simulation. Recurrent topics in Guy Jumarie's work include Statistical Mechanics and Entropy (69 papers), Complex Systems and Time Series Analysis (36 papers) and Fractional Differential Equations Solutions (35 papers). Guy Jumarie is often cited by papers focused on Statistical Mechanics and Entropy (69 papers), Complex Systems and Time Series Analysis (36 papers) and Fractional Differential Equations Solutions (35 papers). Guy Jumarie collaborates with scholars based in Canada, France and United States. Guy Jumarie's co-authors include Charles S. Tapiero and has published in prestigious journals such as Information Sciences, Fuzzy Sets and Systems and Physics Letters A.

In The Last Decade

Guy Jumarie

144 papers receiving 3.4k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results

2006 867 citations Guy Jumarie Computers & Mathematics with Applications profile →
Table of some basic fractional calculus formulae derived from a modified Riemann–Liouville derivative for non-differentiable functions

2008 374 citations Guy Jumarie Applied Mathematics Letters profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Guy Jumarie Canada	25	2.6k	1.8k	849	666	361	159	3.7k
V. V. Uchaikin Russia	23	1.4k 0.6×	866 0.5×	427 0.5×	392 0.6×	215 0.6×	122	2.8k
R. K. Saxena India	25	1.8k 0.7×	599 0.3×	778 0.9×	1.4k 2.1×	243 0.7×	116	3.4k
Hans‐Peter Scheffler Germany	18	1.8k 0.7×	395 0.2×	947 1.1×	632 0.9×	343 1.0×	59	2.7k
Weihua Deng China	37	4.4k 1.7×	1.9k 1.1×	2.7k 3.2×	1.2k 1.7×	853 2.4×	166	6.2k
Rudolf Gorenflo Germany	36	5.4k 2.1×	1.3k 0.7×	2.7k 3.2×	2.5k 3.8×	1.2k 3.3×	110	7.2k
Z. Avazzadeh Iran	34	2.6k 1.0×	908 0.5×	1.4k 1.7×	540 0.8×	854 2.4×	176	3.7k
Virginia Kiryakova Bulgaria	25	2.7k 1.0×	609 0.3×	1.2k 1.5×	1.8k 2.7×	292 0.8×	74	3.6k
Farshid Mirzaee Iran	34	2.5k 1.0×	579 0.3×	1.7k 2.0×	974 1.5×	447 1.2×	132	3.0k
Sungbin Lim Malaysia	25	918 0.4×	620 0.4×	283 0.3×	437 0.7×	83 0.2×	86	2.0k
K. Maleknejad Iran	35	3.5k 1.3×	336 0.2×	2.6k 3.0×	1.5k 2.3×	735 2.0×	199	4.1k

Countries citing papers authored by Guy Jumarie

Since Specialization

Citations

This map shows the geographic impact of Guy Jumarie's research. 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 Guy Jumarie with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Guy Jumarie more than expected).

Fields of papers citing papers by Guy Jumarie

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Guy Jumarie. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Guy Jumarie. The network helps show where Guy Jumarie may publish in the future.

Co-authorship network of co-authors of Guy Jumarie

This figure shows the co-authorship network connecting the top 25 collaborators of Guy Jumarie. A scholar is included among the top collaborators of Guy Jumarie based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Guy Jumarie. Guy Jumarie is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Jumarie, Guy. (2015). Image Processing. A new Approach via Informational Entropy and Informational Divergence of non Random Functions. Hrčak Portal of scientific journals of Croatia (University Computing Centre). 4(3). 147–158.

Jumarie, Guy. (2010). FRACTIONAL EULER'S INTEGRAL OF FIRST AND SECOND KINDS. APPLICATION TO FRACTIONAL HERMITE'S POLYNOMIALS AND TO PROBABILITY DENSITY OF FRACTIONAL ORDER. Journal of applied mathematics & informatics. 28. 257–273. 8 indexed citations

Jumarie, Guy. (2010). Cauchy’s integral formula via the modified Riemann–Liouville derivative for analytic functions of fractional order. Applied Mathematics Letters. 23(12). 1444–1450. 89 indexed citations

Jumarie, Guy. (2009). Derivation and solutions of some fractional Black–Scholes equations in coarse-grained space and time. Application to Merton’s optimal portfolio. Computers & Mathematics with Applications. 59(3). 1142–1164. 247 indexed citations

Jumarie, Guy. (2009). Laplace’s transform of fractional order via the Mittag–Leffler function and modified Riemann–Liouville derivative. Applied Mathematics Letters. 22(11). 1659–1664. 137 indexed citations

Jumarie, Guy. (2008). Table of some basic fractional calculus formulae derived from a modified Riemann–Liouville derivative for non-differentiable functions. Applied Mathematics Letters. 22(3). 378–385. 374 indexed citations breakdown →

Jumarie, Guy. (2008). FOURIER'S TRANSFORM OF FRACTIONAL ORDER VIA MITTAG-LEFFLER FUNCTION AND MODIFIED RIEMANN-LIOUVILLE DERIVATIVE. Journal of applied mathematics & informatics. 26. 1101–1121. 17 indexed citations

Jumarie, Guy. (2007). Modeling fractional stochastic systems as non-random fractional dynamics driven by Brownian motions. Applied Mathematical Modelling. 32(5). 836–859. 27 indexed citations

Jumarie, Guy. (2006). New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations. Mathematical and Computer Modelling. 44(3-4). 231–254. 95 indexed citations

10.

Jumarie, Guy. (2006). Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results. Computers & Mathematics with Applications. 51(9-10). 1367–1376. 867 indexed citations breakdown →

11.

Jumarie, Guy. (2005). Lagrange characteristic method for solving a class of nonlinear partial differential equations of fractional order. Applied Mathematics Letters. 19(9). 873–880. 44 indexed citations

12.

Jumarie, Guy. (2002). Risk and Complex Fractals in Finance∶ Application to a Black-Scholes Equation of Order n. Systems Analysis Modelling Simulation. 42(1). 1–22. 2 indexed citations

13.

Jumarie, Guy. (2001). Randomization of transfer functions in control systems via computer vision with pixel noises of order n. Computers & Mathematics with Applications. 41(7-8). 1063–1076. 1 indexed citations

14.

Jumarie, Guy. (1997). Further results on the mathematical relations between probability, possibility and fuzzy logic. The rationale of subjectivity via invariance of information loss. Systems Analysis Modelling Simulation. 28(1). 107–148.

15.

Jumarie, Guy. (1997). Extension of Gatlin's Informational Divergence to Markovian Stochastic Processes. Journal of Biological Physics. 23(2). 101–110. 1 indexed citations

16.

Jumarie, Guy. (1993). Composition laws for entropy and temperature in tree-like graphs. Mathematical and Computer Modelling. 18(5). 107–118. 1 indexed citations

17.

Jumarie, Guy. (1991). Extension of quantum information by using entropy of deterministic functions. Mathematical and Computer Modelling. 15(12). 103–116. 1 indexed citations

18.

Jumarie, Guy. (1983). On some problems related to linear systems subject to squared white noises. International Journal of Systems Science. 14(5). 537–553.

19.

Jumarie, Guy. (1980). Sur une nouvelle méthode d'introduction des facteurs de subjectivité dans les problèmes d'estimation statistique. French digital mathematics library (Numdam). 16(4). 349–369. 1 indexed citations

20.

Jumarie, Guy. (1980). Relativistic fuzzy sets. Toward a new approach to subjectivity in human systems. French digital mathematics library (Numdam). 71. 39–75.

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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