John R. Graef

6.2k total citations
369 papers, 4.8k citations indexed

About

John R. Graef is a scholar working on Applied Mathematics, Numerical Analysis and Modeling and Simulation. According to data from OpenAlex, John R. Graef has authored 369 papers receiving a total of 4.8k indexed citations (citations by other indexed papers that have themselves been cited), including 324 papers in Applied Mathematics, 238 papers in Numerical Analysis and 86 papers in Modeling and Simulation. Recurrent topics in John R. Graef's work include Nonlinear Differential Equations Analysis (308 papers), Differential Equations and Numerical Methods (220 papers) and Differential Equations and Boundary Problems (123 papers). John R. Graef is often cited by papers focused on Nonlinear Differential Equations Analysis (308 papers), Differential Equations and Numerical Methods (220 papers) and Differential Equations and Boundary Problems (123 papers). John R. Graef collaborates with scholars based in United States, Algeria and India. John R. Graef's co-authors include Lingju Kong, Bo Yang, Mouffak Benchohra, Paul W. Spikes, Said R. Grace, János Karsai, Johnny Henderson, Michael Y. Li, Liancheng Wang and Samira Hamani and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Applied Mathematics and Computation.

In The Last Decade

John R. Graef

337 papers receiving 4.2k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
John R. Graef United States 33 3.9k 2.6k 2.0k 637 626 369 4.8k
Ravi P. Agarwal United States 34 3.8k 1.0× 1.8k 0.7× 2.7k 1.3× 697 1.1× 533 0.9× 316 5.6k
Lynn Erbe United States 41 4.2k 1.1× 2.9k 1.1× 1.1k 0.6× 1.1k 1.7× 469 0.7× 195 5.0k
Patricia J. Y. Wong Singapore 26 2.9k 0.7× 1.8k 0.7× 1.1k 0.5× 474 0.7× 446 0.7× 213 3.6k
K. Balachandran India 34 3.4k 0.9× 1.3k 0.5× 2.6k 1.3× 2.1k 3.4× 402 0.6× 339 4.7k
Samir H. Saker Egypt 31 3.3k 0.9× 1.9k 0.7× 1.1k 0.5× 866 1.4× 534 0.9× 236 3.7k
István Győri Hungary 22 2.2k 0.6× 1.8k 0.7× 612 0.3× 642 1.0× 998 1.6× 115 3.2k
Jehad Alzabut Saudi Arabia 35 2.8k 0.7× 1.2k 0.5× 3.2k 1.6× 543 0.9× 882 1.4× 332 5.1k
S. Leela United States 23 2.2k 0.6× 1.2k 0.5× 1.5k 0.8× 962 1.5× 337 0.5× 76 3.4k
Weigao Ge China 36 4.2k 1.1× 2.6k 1.0× 1.1k 0.5× 653 1.0× 251 0.4× 278 4.6k
Cemil Tunç Türkiye 31 1.9k 0.5× 1.3k 0.5× 1.3k 0.6× 736 1.2× 543 0.9× 297 3.1k

Countries citing papers authored by John R. Graef

Since Specialization
Citations

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

Fields of papers citing papers by John R. Graef

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by John R. Graef. 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 John R. Graef. The network helps show where John R. Graef may publish in the future.

Co-authorship network of co-authors of John R. Graef

This figure shows the co-authorship network connecting the top 25 collaborators of John R. Graef. A scholar is included among the top collaborators of John R. Graef 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 John R. Graef. John R. Graef is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Graef, John R., et al.. (2024). Existence of Solution for a Katugampola Fractional Differential Equation Using Coincidence Degree Theory. Mediterranean Journal of Mathematics. 21(4).
2.
3.
Graef, John R., et al.. (2023). Existence and multiplicity of solutions to a fractional p-Laplacian elliptic Dirichlet problem. Electronic Journal of Differential Equations. 2023(01-??). 46–46. 2 indexed citations
4.
Moradi, Shahin, G. A. Afrouzi, & John R. Graef. (2023). Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value Problem. Axioms. 12(10). 991–991.
5.
Graef, John R., et al.. (2023). Oscillatory behavior of a fifth differential equation with unbounded neutral coefficients. Studia Universitatis Babes-Bolyai Matematica. 68(4). 817–826. 1 indexed citations
6.
Tunç, Ercan, et al.. (2021). New oscillation criteria for third-order differential equations with bounded and unbounded neutral coefficients. Electronic journal of qualitative theory of differential equations. 1–13. 8 indexed citations
7.
Al‐Arifi, Nassir, et al.. (2020). Periodic mild solutions of infinite delay evolution equations with non-instantaneous impulses. Journal of Nonlinear Functional Analysis. 2020(1). 3 indexed citations
8.
Grace, Said R., John R. Graef, & Ercan Tunç. (2019). Oscillatory behaviour of third order nonlinear differential equations with a nonlinear nonpositive neutral term. SHILAP Revista de lepidopterología. 13(1). 704–710. 13 indexed citations
9.
Graef, John R., Said R. Grace, & Ercan Tunç. (2018). Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term. Opuscula Mathematica. 39(1). 39–47. 33 indexed citations
10.
Graef, John R., Shapour Heidarkhani, & Lingju Kong. (2018). Existence of solutions to an impulsive Dirichlet boundary value problem. Fixed Point Theory. 19(1). 225–234. 3 indexed citations
11.
Graef, John R., et al.. (2017). Some Krasnosel’skii type random fixed point theorems. Journal of Nonlinear Functional Analysis. 2017(1). 1–34. 6 indexed citations
12.
Graef, John R., et al.. (2017). Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation. Opuscula Mathematica. 37(6). 839–839. 38 indexed citations
13.
Graef, John R., Shapour Heidarkhani, & Lingju Kong. (2015). Nontrivial periodic solutions to second-order impulsive Hamiltonian systems. SHILAP Revista de lepidopterología. 2 indexed citations
14.
Graef, John R., Johnny Henderson, Rodica Luca, & Yu Tian. (2014). Boundary-Value Problems for Third-Order Lipschitz Ordinary Differential Equations. Proceedings of the Edinburgh Mathematical Society. 58(1). 183–197. 5 indexed citations
15.
Graef, John R., Lingju Kong, & Bo Yang. (2010). Positive solutions to a nonlinear third order three-point boundary value problem. SHILAP Revista de lepidopterología. 1 indexed citations
16.
Graef, John R. & Abdelghani Ouahab. (2008). Nonresonance impulsive functional dynamic boundary value inclusions on time scales. Nonlinear studies. 15(4). 339–354. 3 indexed citations
17.
Graef, John R., et al.. (2007). THE STRONG NONLINEAR LIMIT-POINT/LIMIT-CIRCLE PROPERTIES FOR SUB-HALF-LINEAR EQUATIONS. Dynamic Systems and Applications. 15. 1 indexed citations
18.
Graef, John R., et al.. (1996). Oscillatory and asymptotic behavior of solutions of nonlinear neutral-type difference equations. The Journal of the Australian Mathematical Society Series B Applied Mathematics. 38(2). 163–171. 15 indexed citations
19.
Graef, John R., Chenyin Qian, & Paul W. Spikes. (1996). Oscillation and Global Attractivity in a Periodic Delay Equation. Canadian Mathematical Bulletin. 39(3). 275–283. 24 indexed citations
20.
Thandapani, E., et al.. (1995). Classification of nonoscillatory solutions of higher order neutral type difference equations. Archivum Mathematicum. 31(4). 263–277. 6 indexed citations

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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