R. Udhayakumar

2.3k total citations
103 papers, 2.0k citations indexed

About

R. Udhayakumar is a scholar working on Applied Mathematics, Modeling and Simulation and Control and Systems Engineering. According to data from OpenAlex, R. Udhayakumar has authored 103 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 87 papers in Applied Mathematics, 75 papers in Modeling and Simulation and 41 papers in Control and Systems Engineering. Recurrent topics in R. Udhayakumar's work include Nonlinear Differential Equations Analysis (87 papers), Fractional Differential Equations Solutions (75 papers) and Stability and Controllability of Differential Equations (41 papers). R. Udhayakumar is often cited by papers focused on Nonlinear Differential Equations Analysis (87 papers), Fractional Differential Equations Solutions (75 papers) and Stability and Controllability of Differential Equations (41 papers). R. Udhayakumar collaborates with scholars based in India, Saudi Arabia and Egypt. R. Udhayakumar's co-authors include V. Vijayakumar, Kottakkaran Sooppy Nisar, C. Dineshkumar, K. Kavitha, Anurag Shukla, Marimuthu Mohan Raja, C. Ravichandran, N. Sakthivel, Yong Zhou and Sumati Kumari Panda and has published in prestigious journals such as SHILAP Revista de lepidopterología, Chaos Solitons & Fractals and Communications in Nonlinear Science and Numerical Simulation.

In The Last Decade

R. Udhayakumar

93 papers receiving 1.9k citations

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
R. Udhayakumar 1.7k 1.6k 774 555 196 103 2.0k
Abdelghani Ouahab 1.7k 1.0× 1.3k 0.8× 644 0.8× 662 1.2× 275 1.4× 98 1.9k
Anurag Shukla 1.3k 0.8× 1.1k 0.7× 700 0.9× 494 0.9× 77 0.4× 107 1.7k
Snezhana Hristova 1.2k 0.7× 989 0.6× 491 0.6× 610 1.1× 95 0.5× 180 1.6k
A. S. Vatsala 2.3k 1.3× 1.8k 1.1× 383 0.5× 1.4k 2.6× 195 1.0× 97 2.9k
S. Sivasundaram 1.0k 0.6× 641 0.4× 418 0.5× 561 1.0× 125 0.6× 57 1.4k
Rahmat Ali Khan 1.7k 1.0× 2.2k 1.4× 220 0.3× 1.4k 2.6× 130 0.7× 136 2.7k
Hernán R. Henrı́quez 1.7k 1.0× 575 0.4× 1.2k 1.6× 774 1.4× 100 0.5× 97 1.9k
M. Mallika Arjunan 775 0.5× 501 0.3× 613 0.8× 319 0.6× 53 0.3× 93 1.2k
Dimplekumar Chalishajar 600 0.4× 500 0.3× 362 0.5× 281 0.5× 62 0.3× 98 845
Pshtiwan Othman Mohammed 2.1k 1.2× 1.1k 0.7× 75 0.1× 364 0.7× 120 0.6× 184 2.5k

Countries citing papers authored by R. Udhayakumar

Since Specialization
Citations

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

Fields of papers citing papers by R. Udhayakumar

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of R. Udhayakumar

This figure shows the co-authorship network connecting the top 25 collaborators of R. Udhayakumar. A scholar is included among the top collaborators of R. Udhayakumar 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 R. Udhayakumar. R. Udhayakumar 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.
Udhayakumar, R., et al.. (2025). A Class of $$\psi $$-Hilfer Fractional Neutral Differential Evolutions with Hemivariational Inequalities Involving History-Dependent Operators. Mediterranean Journal of Mathematics. 22(2). 1 indexed citations
2.
Udhayakumar, R., et al.. (2025). Optimal Feedback Control in Hilfer Fractional Neutral Stochastic Delay Evolution Hemivariational Inequalities via Almost Sectorial Operator. Complex Analysis and Operator Theory. 19(6). 1 indexed citations
3.
Udhayakumar, R., et al.. (2024). Approximate controllability results of $$\psi$$-Hilfer fractional neutral hemivariational inequalities with infinite delay via almost sectorial operators. The European Physical Journal Special Topics. 234(8). 2151–2169. 5 indexed citations
4.
AlNemer, Ghada, et al.. (2024). Existence and Hyers–Ulam Stability of Stochastic Delay Systems Governed by the Rosenblatt Process. Mathematics. 12(11). 1729–1729. 2 indexed citations
5.
Udhayakumar, R., et al.. (2024). Approximate controllability of a semilinear impulsive fractional stochastic integro-differential inclusions with Poisson jumps. Journal of Mathematics and Computer Science. 263–280.
6.
Al‐Omari, Shrideh, et al.. (2024). New study on Cauchy problems of fractional stochastic evolution systems on an infinite interval. Mathematical Methods in the Applied Sciences. 48(1). 890–904. 1 indexed citations
7.
8.
Udhayakumar, R., et al.. (2024). Existence of Hilfer fractional neutral stochastic differential systems with infinite delay. SHILAP Revista de lepidopterología. 113(1). 174–193. 3 indexed citations
9.
Udhayakumar, R., et al.. (2024). Impact of Local Thermal Non-Equilibrium and Gravity Fluctuations on the Onset of a Darcy-Brinkman Porous Convection. Contemporary Mathematics. 1120–1131. 3 indexed citations
10.
11.
Udhayakumar, R., et al.. (2024). Existence and approximate controllability for the Hilfer fractional neutral stochastic hemivariational inequality with Rosenblatt process. Journal of Control and Decision. 1–14. 8 indexed citations
12.
Udhayakumar, R., et al.. (2023). Effects of LTNE on Two-Component Convective Instability in a Composite System with Thermal Gradient and Heat Source. Mathematics. 11(20). 4282–4282. 2 indexed citations
13.
Udhayakumar, R., et al.. (2023). Approximate Controllability Outcomes of Impulsive Second-Order Stochastic Neutral Differential Evolution Systems. Contemporary Mathematics. 782–816. 3 indexed citations
14.
Udhayakumar, R., et al.. (2023). Existence of Mild Solution of the Hilfer Fractional Differential Equations with Infinite Delay on an Infinite Interval. Fractal and Fractional. 7(10). 724–724. 3 indexed citations
15.
Udhayakumar, R., et al.. (2023). A new conversation on the existence of Hilfer fractional stochastic Volterra–Fredholm integro-differential inclusions via almost sectorial operators. Nonlinear Analysis Modelling and Control. 28. 1–20. 7 indexed citations
16.
Udhayakumar, R., et al.. (2023). Discussion on Existence of Mild Solutions for Hilfer Fractional Neutral Stochastic Evolution Equations Via Almost Sectorial Operators with Delay. Qualitative Theory of Dynamical Systems. 22(2). 11 indexed citations
17.
Udhayakumar, R., et al.. (2023). Approximate Controllability of Ψ-Hilfer Fractional Neutral Differential Equation with Infinite Delay. Fractal and Fractional. 7(7). 537–537. 10 indexed citations
18.
Udhayakumar, R., et al.. (2023). Approximate controllability of Ψ‐Caputo fractional differential equation. Mathematical Methods in the Applied Sciences. 46(17). 17660–17671. 7 indexed citations
19.
Muthukumaran, V., et al.. (2023). Study on the controllability of Hilfer fractional differential system with and without impulsive conditions via infinite delay. Nonlinear Analysis Modelling and Control. 29(1). 166–188. 2 indexed citations
20.
Shukla, Anurag, et al.. (2021). A novel increment approach for optimal control problem of fractional‐order (1, 2] nonlinear systems. Mathematical Methods in the Applied Sciences. 49(3). 1305–1314. 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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