D. Vivek

447 total citations
59 papers, 359 citations indexed

About

D. Vivek is a scholar working on Applied Mathematics, Modeling and Simulation and Numerical Analysis. According to data from OpenAlex, D. Vivek has authored 59 papers receiving a total of 359 indexed citations (citations by other indexed papers that have themselves been cited), including 53 papers in Applied Mathematics, 48 papers in Modeling and Simulation and 22 papers in Numerical Analysis. Recurrent topics in D. Vivek's work include Nonlinear Differential Equations Analysis (53 papers), Fractional Differential Equations Solutions (48 papers) and Differential Equations and Numerical Methods (18 papers). D. Vivek is often cited by papers focused on Nonlinear Differential Equations Analysis (53 papers), Fractional Differential Equations Solutions (48 papers) and Differential Equations and Numerical Methods (18 papers). D. Vivek collaborates with scholars based in India, Saudi Arabia and Egypt. D. Vivek's co-authors include K. Kanagarajan, E. M. Elsayed, Seenith Sivasundaram, Kamal Shah, Sotiris K. Ntouyas, Jessada Tariboon, S. Sivasundaram and Khalid Hilal and has published in prestigious journals such as SHILAP Revista de lepidopterología, International Journal of Robust and Nonlinear Control and Fractional Calculus and Applied Analysis.

In The Last Decade

D. Vivek

51 papers receiving 332 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
D. Vivek India 9 332 326 130 30 22 59 359
Abdelatif Boutiara Algeria 13 336 1.0× 331 1.0× 157 1.2× 39 1.3× 22 1.0× 40 389
Mohammed Said Souıd Algeria 13 337 1.0× 323 1.0× 203 1.6× 25 0.8× 23 1.0× 52 411
Jamal Eddine Lazreg Algeria 15 534 1.6× 554 1.7× 180 1.4× 90 3.0× 50 2.3× 38 591
Muthaiah Subramanian India 11 345 1.0× 340 1.0× 192 1.5× 15 0.5× 12 0.5× 41 371
Mohammed Belmekki Algeria 7 422 1.3× 437 1.3× 192 1.5× 38 1.3× 96 4.4× 15 478
Xingqiu Zhang China 13 425 1.3× 563 1.7× 316 2.4× 29 1.0× 35 1.6× 42 581
S. Kiruthika India 7 345 1.0× 364 1.1× 175 1.3× 17 0.6× 57 2.6× 9 387
Hussein A. H. Salem Egypt 12 343 1.0× 409 1.3× 144 1.1× 74 2.5× 29 1.3× 32 430
Muhammad Samraiz Pakistan 11 186 0.6× 266 0.8× 56 0.4× 13 0.4× 7 0.3× 75 323
Wenbin Liu China 13 367 1.1× 523 1.6× 233 1.8× 24 0.8× 52 2.4× 55 560

Countries citing papers authored by D. Vivek

Since Specialization
Citations

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

Fields of papers citing papers by D. Vivek

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of D. Vivek

This figure shows the co-authorship network connecting the top 25 collaborators of D. Vivek. A scholar is included among the top collaborators of D. Vivek 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 D. Vivek. D. Vivek 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.
Vivek, D., et al.. (2025). P-type iterative learning control for impulsive pantograph equations with Hilfer fractional derivative. Mathematical Foundations of Computing. 10(0). 17–34. 2 indexed citations
2.
Vivek, D., et al.. (2025). Iterative Learning Control for Hilfer‐Type Fractional Stochastic Differential Systems: A Simulation Study for Robotic Applications. International Journal of Robust and Nonlinear Control. 36(5). 2506–2515.
3.
4.
Vivek, D., et al.. (2024). On the impulsive tempered Ξ-Hilfer fuzzy fractional differential equations with delay. Differential Equations & Applications. 279–304. 1 indexed citations
5.
Vivek, D., et al.. (2023). Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations with Impulses. SHILAP Revista de lepidopterología. 6(3). 115–127.
6.
Vivek, D., et al.. (2023). On the Study of Pantograph Differential Equations with Proportional Fractional Derivative. DergiPark (Istanbul University). 11(2). 97–103.
7.
Vivek, D., et al.. (2023). Existence and Stability of Integro Differential Equation with Generalized Proportional Fractional Derivative. Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 58(4). 253–263. 3 indexed citations
8.
Elsayed, E. M., et al.. (2022). A study of Hilfer-Katugampola type pantograph equations with complex order. SHILAP Revista de lepidopterología. 2. 100045–100045. 5 indexed citations
9.
Vivek, D., K. Kanagarajan, & E. M. Elsayed. (2022). Attractivity and Ulam-Hyers stability results for fractional delay differential equations. Filomat. 36(17). 5707–5724. 2 indexed citations
10.
Sivasundaram, Seenith, et al.. (2020). Numerical solutions of interval-valued fractional differential equations by fractional Euler's method. Journal | MESA. 11(2). 443–452. 2 indexed citations
11.
Shah, Kamal, D. Vivek, & K. Kanagarajan. (2020). Dynamics and stability of ψ-fractional pantograph equations with boundary conditions. Boletim da Sociedade Paranaense de Matemática. 39(5). 43–55. 15 indexed citations
12.
Vivek, D., et al.. (2019). Theory of Hybrid Fractional Differential Equations with Complex Order. SHILAP Revista de lepidopterología. 2 indexed citations
13.
Vivek, D., et al.. (2019). Existence results for hybrid fractional differential equations with Hilfer fractional derivative. 9(2). 294–304. 3 indexed citations
14.
Vivek, D., K. Kanagarajan, & E. M. Elsayed. (2019). A study of fractional integro-differential equations via Hilfer-Hadamard fractional derivative. 27(1). 71–84. 3 indexed citations
15.
16.
Vivek, D., E. M. Elsayed, & K. Kanagarajan. (2018). Existence, Uniqueness and Stability of Hilfer Type Neutral Pantograph Differential Equations with Nonlocal Conditions. 6(8). 42–53. 4 indexed citations
17.
Vivek, D., E. M. Elsayed, & K. Kanagarajan. (2018). THEORY AND ANALYSIS OF ψ-FRACTIONAL DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS. 22(3). 6 indexed citations
18.
Vivek, D., K. Kanagarajan, & Seenith Sivasundaram. (2017). Theory and analysis of nonlinear neutral pantograph equations via Hilfer fractional derivative. Nonlinear studies. 24(3). 699–712. 16 indexed citations
19.
Vivek, D., K. Kanagarajan, & Seenith Sivasundaram. (2016). Dynamics and stability of pantograph equations via Hilfer fractional derivative. Nonlinear studies. 23(4). 685–698. 25 indexed citations
20.
Vivek, D., et al.. (2016). An Improved Predictor-Corrector Method for Delay Differential Equations of Fractional Order. International Journal of Mathematics Trends and Technology. 30(1). 34–38. 1 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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