F.A. McRae

629 total citations
20 papers, 477 citations indexed

About

F.A. McRae is a scholar working on Applied Mathematics, Numerical Analysis and Modeling and Simulation. According to data from OpenAlex, F.A. McRae has authored 20 papers receiving a total of 477 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Applied Mathematics, 6 papers in Numerical Analysis and 5 papers in Modeling and Simulation. Recurrent topics in F.A. McRae's work include Nonlinear Differential Equations Analysis (8 papers), Fractional Differential Equations Solutions (5 papers) and Differential Equations and Numerical Methods (5 papers). F.A. McRae is often cited by papers focused on Nonlinear Differential Equations Analysis (8 papers), Fractional Differential Equations Solutions (5 papers) and Differential Equations and Numerical Methods (5 papers). F.A. McRae collaborates with scholars based in United States and Canada. F.A. McRae's co-authors include Z. Drici, J. Vasundhara Devi, S. Leela, V. Lakshmikantham, S. Sivasundaram, T. Gnana Bhaskar and Xinzhi Liu and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Applied Mathematics and Computation and Computers & Mathematics with Applications.

In The Last Decade

F.A. McRae

20 papers receiving 418 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
F.A. McRae United States	13	329	206	190	106	70	20	477
Tzanko Donchev Bulgaria	12	251 0.8×	120 0.6×	96 0.5×	154 1.5×	59 0.8×	65	435
Abdelouaheb Ardjouni Algeria	13	558 1.7×	354 1.7×	416 2.2×	101 1.0×	65 0.9×	140	649
L. Rodríguez-Germá Spain	10	330 1.0×	186 0.9×	447 2.4×	133 1.3×	38 0.5×	13	545
Udita N. Katugampola United States	6	656 2.0×	169 0.8×	502 2.6×	52 0.5×	61 0.9×	6	799
Ahmed Gamal Ibrahim Saudi Arabia	12	432 1.3×	117 0.6×	360 1.9×	153 1.4×	68 1.0×	34	484
B. Bonilla Spain	6	266 0.8×	183 0.9×	377 2.0×	68 0.6×	32 0.5×	11	443
Dimplekumar Chalishajar United States	15	600 1.8×	281 1.4×	500 2.6×	362 3.4×	62 0.9×	98	845
Milan Tvrdý Czechia	14	528 1.6×	329 1.6×	86 0.5×	127 1.2×	111 1.6×	58	663
Zhiguo Luo China	16	653 2.0×	317 1.5×	368 1.9×	265 2.5×	41 0.6×	45	800
N. Valliammal India	11	322 1.0×	168 0.8×	443 2.3×	109 1.0×	48 0.7×	22	541

Countries citing papers authored by F.A. McRae

Since Specialization

Citations

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

Fields of papers citing papers by F.A. McRae

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by F.A. McRae. 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 F.A. McRae. The network helps show where F.A. McRae may publish in the future.

Co-authorship network of co-authors of F.A. McRae

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Drici, Z., F.A. McRae, & J. Vasundhara Devi. (2015). STABILITY RESULTS FOR SET DIFFERENTIAL EQUATIONS WITH CAUSAL MAPS. 4 indexed citations

Drici, Z., J. Vasundhara Devi, & F.A. McRae. (2014). On the comparison principle and existence results for terminal value problems. Nonlinear studies. 21(2). 269–282. 2 indexed citations

Lakshmikantham, V., S. Leela, Z. Drici, & F.A. McRae. (2010). Theory of Causal Differential Equations. CERN Document Server (European Organization for Nuclear Research). 39 indexed citations

Sivasundaram, S., J. Vasundhara Devi, Z. Drici, & F.A. McRae. (2009). Advances in nonlinear analysis : theory methods and applications. 18 indexed citations

Devi, J. Vasundhara, F.A. McRae, & Z. Drici. (2009). Generalized quasilinearization for fractional differential equations. Computers & Mathematics with Applications. 59(3). 1057–1062. 26 indexed citations

McRae, F.A.. (2009). Monotone iterative technique and existence results for fractional differential equations. Nonlinear Analysis. 71(12). 6093–6096. 85 indexed citations

Drici, Z., F.A. McRae, & J. Vasundhara Devi. (2008). Quasilinearization for functional differential equations with retardation and anticipation. Nonlinear Analysis. 70(4). 1763–1775. 12 indexed citations

Drici, Z., F.A. McRae, & J. Vasundhara Devi. (2007). Fixed point theorems for mixed monotone operators with PPF dependence. Nonlinear Analysis. 69(2). 632–636. 13 indexed citations

Drici, Z., F.A. McRae, & J. Vasundhara Devi. (2006). Fixed-point theorems in partially ordered metric spaces for operators with PPF dependence. Nonlinear Analysis. 67(2). 641–647. 47 indexed citations

10.

McRae, F.A. & J. Vasundhara Devi. (2005). Impulsive set differential equations with delay. Applicable Analysis. 84(4). 329–341. 17 indexed citations

11.

Drici, Z., F.A. McRae, & J. Vasundhara Devi. (2005). Monotone iterative technique for periodic boundary value problems with causal operators. Nonlinear Analysis. 64(6). 1271–1277. 45 indexed citations

12.

Drici, Z., F.A. McRae, & J. Vasundhara Devi. (2005). Differential equations with causal operators in a Banach space. Nonlinear Analysis. 62(2). 301–313. 34 indexed citations

13.

Bhaskar, T. Gnana & F.A. McRae. (2002). Monotone iterative techniques for nonlinear problems involving the difference of two monotone functions. Applied Mathematics and Computation. 133(1). 187–192. 12 indexed citations

14.

McRae, F.A.. (2001). Perturbing Lyapunov functions and stability criteria for initial time difference. Applied Mathematics and Computation. 117(2-3). 313–320. 11 indexed citations

15.

Lakshmikantham, V. & F.A. McRae. (2001). Basic Results for Fuzzy Impulsive Differential Equations. Mathematical Inequalities & Applications. 239–246. 13 indexed citations

16.

Liu, Xinzhi & F.A. McRae. (2000). A monotone iterative method for boundary value problems of parametric differential equations. International Journal of Stochastic Analysis. 14(2). 183–187. 8 indexed citations

17.

McRae, F.A.. (1995). Generalized quasilinearization of stochastic initial value problem. Stochastic Analysis and Applications. 13(2). 205–210. 5 indexed citations

18.

Lakshmikantham, V., S. Leela, & F.A. McRae. (1995). Improved generalized quasilinearization (GQL) method. Nonlinear Analysis. 24(11). 1627–1637. 28 indexed citations

19.

McRae, F.A.. (1994). Practical Stability of Impulsive Control Systems. Journal of Mathematical Analysis and Applications. 181(3). 656–672. 8 indexed citations

20.

Leela, S., F.A. McRae, & S. Sivasundaram. (1993). Controllability of Impulsive Differential Equations. Journal of Mathematical Analysis and Applications. 177(1). 24–30. 50 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.

Explore authors with similar magnitude of impact