Amar Debbouche

2.4k total citations
83 papers, 1.9k citations indexed

About

Amar Debbouche is a scholar working on Modeling and Simulation, Applied Mathematics and Control and Systems Engineering. According to data from OpenAlex, Amar Debbouche has authored 83 papers receiving a total of 1.9k indexed citations (citations by other indexed papers that have themselves been cited), including 68 papers in Modeling and Simulation, 58 papers in Applied Mathematics and 22 papers in Control and Systems Engineering. Recurrent topics in Amar Debbouche's work include Fractional Differential Equations Solutions (64 papers), Nonlinear Differential Equations Analysis (50 papers) and Stability and Controllability of Differential Equations (22 papers). Amar Debbouche is often cited by papers focused on Fractional Differential Equations Solutions (64 papers), Nonlinear Differential Equations Analysis (50 papers) and Stability and Controllability of Differential Equations (22 papers). Amar Debbouche collaborates with scholars based in Algeria, India and China. Amar Debbouche's co-authors include Dumitru Bǎleanu, Delfim F. M. Torres, Juan J. Nieto, JinRong Wang, Valery Antonov, L. Shangerganesh, Muslim Malik, Shengda Liu, R. Sakthivel and Yong Zhou and has published in prestigious journals such as SHILAP Revista de lepidopterología, Chaos Solitons & Fractals and Applied Mathematics and Computation.

In The Last Decade

Amar Debbouche

81 papers receiving 1.8k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Amar Debbouche Algeria 26 1.4k 1.3k 697 509 167 83 1.9k
R. Udhayakumar India 26 1.6k 1.1× 1.7k 1.3× 774 1.1× 555 1.1× 160 1.0× 103 2.0k
Anurag Shukla India 27 1.1k 0.8× 1.3k 1.0× 700 1.0× 494 1.0× 196 1.2× 107 1.7k
J. Vasundhara Devi United States 18 1.3k 0.9× 1.6k 1.2× 405 0.6× 641 1.3× 186 1.1× 48 2.0k
C. Ravichandran India 36 2.3k 1.6× 1.7k 1.3× 526 0.8× 824 1.6× 82 0.5× 94 2.7k
A. S. Vatsala United States 18 1.8k 1.3× 2.3k 1.7× 383 0.5× 1.4k 2.8× 307 1.8× 97 2.9k
M. Rivero Spain 17 1.1k 0.8× 671 0.5× 368 0.5× 449 0.9× 45 0.3× 35 1.4k
S. Sivasundaram United States 16 641 0.5× 1.0k 0.8× 418 0.6× 561 1.1× 141 0.8× 57 1.4k
Claudio Cuevas Brazil 24 845 0.6× 1.5k 1.1× 698 1.0× 648 1.3× 238 1.4× 97 1.7k
Akbar Zada Pakistan 32 2.1k 1.5× 2.4k 1.8× 290 0.4× 805 1.6× 54 0.3× 182 2.8k
Rahmat Ali Khan Pakistan 30 2.2k 1.6× 1.7k 1.3× 220 0.3× 1.4k 2.8× 73 0.4× 136 2.7k

Countries citing papers authored by Amar Debbouche

Since Specialization
Citations

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

Fields of papers citing papers by Amar Debbouche

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Amar Debbouche

This figure shows the co-authorship network connecting the top 25 collaborators of Amar Debbouche. A scholar is included among the top collaborators of Amar Debbouche 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 Amar Debbouche. Amar Debbouche 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.
Shangerganesh, L., et al.. (2024). Dynamic behaviors for fractional epidemiological model featuring vaccination and quarantine compartments. Journal of Applied Mathematics and Computing. 71(1). 489–509. 2 indexed citations
2.
Debbouche, Amar, et al.. (2024). The Stability of Solutions of the Variable-Order Fractional Optimal Control Model for the COVID-19 Epidemic in Discrete Time. Mathematics. 12(8). 1236–1236. 4 indexed citations
3.
Shah, Kamal, et al.. (2023). Solvability and Ulam-Hyers stability analysis for nonlinear piecewise fractional cancer dynamic systems. Physica Scripta. 99(2). 25225–25225. 13 indexed citations
4.
Dhayal‎, Rajesh, et al.. (2023). Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects. Fractal and Fractional. 7(2). 104–104. 20 indexed citations
5.
Shangerganesh, L., et al.. (2023). Stability analysis of spatiotemporal reaction–diffusion mathematical model incorporating the varicella virus transmission. The European Physical Journal Plus. 138(12). 4 indexed citations
6.
David, Sérgio Adriani, et al.. (2022). Fractional Modeling Applied to the Dynamics of the Action Potential in Cardiac Tissue. Fractal and Fractional. 6(3). 149–149. 12 indexed citations
7.
Tyagi, Swati, S. C. Martha, Syed Abbas, & Amar Debbouche. (2021). Mathematical modeling and analysis for controlling the spread of infectious diseases. Chaos Solitons & Fractals. 144. 110707–110707. 40 indexed citations
8.
Chakraborty, Sudip, Amar Debbouche, & Priti Kumar Roy. (2020). A mathematical modelling for treatment of HPV associated cervical cancer: NK and effector T cell based control study. Nonlinear studies. 27(2). 325–336. 2 indexed citations
9.
Tuan, Nguyen Huy, Amar Debbouche, & Tran Bao Ngoc. (2018). Existence and regularity of final value problems for time fractional wave equations. Computers & Mathematics with Applications. 78(5). 1396–1414. 29 indexed citations
10.
Nieto, Juan J., et al.. (2018). Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential. Journal of Computational and Applied Mathematics. 344. 725–737. 78 indexed citations
11.
Debbouche, Amar & Valery Antonov. (2017). Finite-dimensional diffusion models of heat transfer in fractal mediums involving local fractional derivatives. Nonlinear studies. 24(3). 527–535. 7 indexed citations
12.
Liu, Shengda, Amar Debbouche, & JinRong Wang. (2017). ILC method for solving approximate controllability of fractional differential equations with noninstantaneous impulses. Journal of Computational and Applied Mathematics. 339. 343–355. 45 indexed citations
13.
Debbouche, Amar & Valery Antonov. (2017). Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces. Chaos Solitons & Fractals. 102. 140–148. 68 indexed citations
14.
Debbouche, Amar, Juan J. Nieto, & A. G. Yagola. (2016). The International Conference MATHEMATICAL AND COMPUTATIONAL MODELLING IN SCIENCE AND TECHNOLOGY. Journal of Computational and Applied Mathematics. 312. 1–1. 10 indexed citations
15.
Debbouche, Amar & Juan J. Nieto. (2015). Relaxation in controlled systems described by fractional integro-differential equations with nonlocal control conditions. SHILAP Revista de lepidopterología. 12 indexed citations
16.
Liu, Shengda, Amar Debbouche, & JinRong Wang. (2015). On the iterative learning control for stochastic impulsive differential equations with randomly varying trial lengths. Journal of Computational and Applied Mathematics. 312. 47–57. 62 indexed citations
17.
Debbouche, Amar, et al.. (2013). Controllability of fractional evolution integro-differential equations with almost sectorial operators. Nonlinear studies. 20(2). 195–204. 2 indexed citations
18.
Debbouche, Amar, et al.. (2013). Sobolev type fractional delay impulsive equations with Alpha-Sobolev resolvent families and integral conditions. Nonlinear studies. 20(4). 549–558. 4 indexed citations
19.
Debbouche, Amar & Dumitru Bǎleanu. (2011). Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Computers & Mathematics with Applications. 62(3). 1442–1450. 183 indexed citations
20.
Debbouche, Amar & Mahmoud M. El-Borai. (2009). Weak almost periodic and optimal mild solutions of fractional evolution equations. SHILAP Revista de lepidopterología. 7 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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