Christopher S. Goodrich

3.9k total citations · 1 hit paper
119 papers, 3.2k citations indexed

About

Christopher S. Goodrich is a scholar working on Applied Mathematics, Modeling and Simulation and Numerical Analysis. According to data from OpenAlex, Christopher S. Goodrich has authored 119 papers receiving a total of 3.2k indexed citations (citations by other indexed papers that have themselves been cited), including 115 papers in Applied Mathematics, 46 papers in Modeling and Simulation and 29 papers in Numerical Analysis. Recurrent topics in Christopher S. Goodrich's work include Nonlinear Differential Equations Analysis (95 papers), Differential Equations and Boundary Problems (50 papers) and Fractional Differential Equations Solutions (46 papers). Christopher S. Goodrich is often cited by papers focused on Nonlinear Differential Equations Analysis (95 papers), Differential Equations and Boundary Problems (50 papers) and Fractional Differential Equations Solutions (46 papers). Christopher S. Goodrich collaborates with scholars based in United States, Australia and Italy. Christopher S. Goodrich's co-authors include Allan Peterson, Carlos Lizama, Lynn Erbe, Baoguo Jia, Jagan Mohan Jonnalagadda, Maria Alessandra Ragusa, Andrea Scapellato, Yujun Cui, Jiafa Xu and Y. S. Hamed and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Physica A Statistical Mechanics and its Applications and Applied Mathematics and Computation.

In The Last Decade

Christopher S. Goodrich

115 papers receiving 3.0k citations

Hit Papers

Discrete Fractional Calculus 2015 2026 2018 2022 2015 100 200 300 400
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.

  1. Discrete Fractional Calculus
    2015 483 citations Christopher S. Goodrich, Allan Peterson profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Christopher S. Goodrich United States 29 3.0k 2.1k 1.1k 375 327 119 3.2k
Paul W. Eloe United States 24 2.5k 0.9× 1.6k 0.8× 1.4k 1.3× 349 0.9× 278 0.9× 133 3.1k
Jessada Tariboon Thailand 28 3.5k 1.2× 2.5k 1.2× 1.3k 1.1× 175 0.5× 129 0.4× 239 3.7k
Alberto Cabada Spain 32 3.0k 1.0× 1.1k 0.5× 2.0k 1.8× 461 1.2× 653 2.0× 198 3.4k
J. Vanterler da C. Sousa Brazil 21 1.7k 0.6× 1.6k 0.8× 502 0.5× 150 0.4× 138 0.4× 100 2.0k
Carlos Lizama Chile 27 2.3k 0.8× 1.2k 0.6× 666 0.6× 899 2.4× 539 1.6× 180 2.7k
J. Vasundhara Devi United States 18 1.6k 0.5× 1.3k 0.6× 641 0.6× 405 1.1× 186 0.6× 48 2.0k
Abdelghani Ouahab Algeria 22 1.7k 0.6× 1.3k 0.6× 662 0.6× 644 1.7× 156 0.5× 98 1.9k
Muslim Malik India 23 1.2k 0.4× 798 0.4× 448 0.4× 645 1.7× 151 0.5× 130 1.7k
Tongxing Li China 40 3.8k 1.3× 1.0k 0.5× 3.6k 3.3× 931 2.5× 374 1.1× 189 4.3k
Yong‐Kui Chang China 23 1.6k 0.5× 960 0.5× 553 0.5× 825 2.2× 183 0.6× 99 1.7k

Countries citing papers authored by Christopher S. Goodrich

Since Specialization
Citations

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

Fields of papers citing papers by Christopher S. Goodrich

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Christopher S. Goodrich. 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 Christopher S. Goodrich. The network helps show where Christopher S. Goodrich may publish in the future.

Co-authorship network of co-authors of Christopher S. Goodrich

This figure shows the co-authorship network connecting the top 25 collaborators of Christopher S. Goodrich. A scholar is included among the top collaborators of Christopher S. Goodrich 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 Christopher S. Goodrich. Christopher S. Goodrich 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.
Goodrich, Christopher S.. (2024). A unified characterization of convolution coefficients in nonlocal differential equations. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 1–19. 1 indexed citations
2.
Ali, Muhammad Aamir & Christopher S. Goodrich. (2023). On some new inequalities of Hermite–Hadamard–Mercer midpoint and trapezoidal type in q-calculus. Analysis. 44(1). 35–46.
3.
Goodrich, Christopher S.. (2022). Nonexistence and parameter range estimates for convolution differential equations. 9(24). 254–265. 9 indexed citations
4.
Goodrich, Christopher S.. (2022). Nonlocal differential equations with convex convolution coefficients. Journal of Fixed Point Theory and Applications. 25(1). 3 indexed citations
5.
Mohammed, Pshtiwan Othman, Christopher S. Goodrich, Faraidun K. Hamasalh, Artion Kashuri, & Y. S. Hamed. (2022). On positivity and monotonicity analysis for discrete fractional operators with discrete Mittag–Leffler kernel. Mathematical Methods in the Applied Sciences. 45(10). 6391–6410. 12 indexed citations
6.
Goodrich, Christopher S.. (2021). A topological approach to a class of one-dimensional Kirchhoff equations. 8(14). 158–172. 19 indexed citations
7.
Goodrich, Christopher S.. (2021). A one-dimensional Kirchhoff equation with generalized convolution coefficients. Journal of Fixed Point Theory and Applications. 23(4). 13 indexed citations
8.
Goodrich, Christopher S., et al.. (2021). Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 152(5). 1191–1232. 6 indexed citations
9.
Goodrich, Christopher S. & Jagan Mohan Jonnalagadda. (2021). An analysis of polynomial sequences and their application to discrete fractional operators. The Journal of Difference Equations and Applications. 27(7). 1081–1102. 6 indexed citations
10.
Goodrich, Christopher S., et al.. (2021). Convexity, monotonicity, and positivity results for sequential fractional nabla difference operators with discrete exponential kernels. Mathematical Methods in the Applied Sciences. 44(8). 7099–7120. 22 indexed citations
11.
Goodrich, Christopher S.. (2021). Nonlocal Differential Equations with Convolution Coefficients and Applications to Fractional Calculus. Advanced Nonlinear Studies. 21(4). 767–787. 16 indexed citations
12.
Goodrich, Christopher S., et al.. (2021). Theoretical and numerical analysis of monotonicity results for fractional difference operators. Applied Mathematics Letters. 117. 107104–107104. 17 indexed citations
13.
Goodrich, Christopher S.. (2021). Differential equations with multiple sign changing convolution coefficients. International Journal of Mathematics. 32(8). 2150057–2150057. 14 indexed citations
14.
Goodrich, Christopher S.. (2020). A topological approach to nonlocal elliptic partial differential equations on an annulus. Mathematische Nachrichten. 294(2). 286–309. 34 indexed citations
15.
Goodrich, Christopher S. & Maria Alessandra Ragusa. (2019). Hölder continuity of weak solutions of p-Laplacian PDEs with VMO coefficients. Nonlinear Analysis. 185. 336–355. 15 indexed citations
16.
Goodrich, Christopher S., et al.. (2019). An analysis of the sharpness of monotonicity results via homotopy for sequential fractional operators. Applied Mathematics Letters. 98. 446–452. 20 indexed citations
17.
Goodrich, Christopher S., et al.. (2018). Mixed order monotonicity results for sequential fractional nabla differences. The Journal of Difference Equations and Applications. 25(6). 837–854. 16 indexed citations
18.
Goodrich, Christopher S.. (2018). Perturbed Integral Operator Equations of Volterra Type with Applications to $${\varvec{p}}$$ p -Laplacian Equations. Mediterranean Journal of Mathematics. 15(2). 4 indexed citations
19.
Erbe, Lynn, Christopher S. Goodrich, Baoguo Jia, & Allan Peterson. (2017). Monotonicity results for delta fractional differences revisited. Mathematica Slovaca. 67(4). 895–906. 28 indexed citations
20.
Goodrich, Christopher S.. (2017). A uniformly sharp monotonicity result for discrete fractional sequential differences. Archiv der Mathematik. 110(2). 145–154. 23 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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