Arran Fernandez

2.6k total citations · 2 hit papers
75 papers, 2.0k citations indexed

About

Arran Fernandez is a scholar working on Modeling and Simulation, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, Arran Fernandez has authored 75 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 65 papers in Modeling and Simulation, 54 papers in Applied Mathematics and 33 papers in Numerical Analysis. Recurrent topics in Arran Fernandez's work include Fractional Differential Equations Solutions (65 papers), Nonlinear Differential Equations Analysis (28 papers) and Iterative Methods for Nonlinear Equations (26 papers). Arran Fernandez is often cited by papers focused on Fractional Differential Equations Solutions (65 papers), Nonlinear Differential Equations Analysis (28 papers) and Iterative Methods for Nonlinear Equations (26 papers). Arran Fernandez collaborates with scholars based in Cyprus, Türkiye and United Kingdom. Arran Fernandez's co-authors include Dumitru Bǎleanu, Ali Akgül, Mehmet Ali Özarslan, Hafiz Muhammad Fahad, H. M. Srivastava, Pshtiwan Othman Mohammed, Alireza Khalili Golmankhaneh, Mohammed Al-Refai, Nazım I. Mahmudov and A. S. Fokas and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Chaos Solitons & Fractals and Applied Mathematics and Computation.

In The Last Decade

Arran Fernandez

72 papers receiving 1.9k citations

Hit Papers

align trajectories

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.

On some new properties of fractional derivatives with Mittag-Leffler kernel

2017 284 citations Dumitru Bǎleanu, Arran Fernandez Communications in Nonlinear Science and Numerical Simulation profile →
On Fractional Operators and Their Classifications

2019 182 citations Dumitru Bǎleanu, Arran Fernandez Mathematics profile →

Peers

Arran Fernandez

MS

AM

NA

SNP

MP

Kamsing Nonlaopon Thailand

Roberto Garrappa Italy

Rahmat Ali Khan Pakistan

Mohammed Al Horani Jordan

A. Yousef Jordan

Khaled M. Saad Saudi Arabia

Mohammad Sababheh Jordan

Y. H. Youssri Egypt

Agnieszka B. Malinowska Poland

Sunıl Dutt Purohıt India

Kamsing Nonlaopon Thailand

Arran Fernandez

1.1k ×0.7

MS

1.1k ×1.0

AM

612 ×0.9

NA

501 ×1.6

SNP

93 ×0.5

MP

Citations per year, relative to Arran Fernandez Arran Fernandez (= 1×) peers Kamsing Nonlaopon

Countries citing papers authored by Arran Fernandez

Since Specialization

Citations

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

Fields of papers citing papers by Arran Fernandez

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Arran Fernandez

This figure shows the co-authorship network connecting the top 25 collaborators of Arran Fernandez. A scholar is included among the top collaborators of Arran Fernandez 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 Arran Fernandez. Arran Fernandez 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

1.

Fernandez, Arran, et al.. (2025). Bivariate substitutions from analytic kernels to fractional differintegral operators. Communications in Nonlinear Science and Numerical Simulation. 146. 108774–108774.

2.

Fernandez, Arran. (2025). Extending Sonine kernels to arbitrary dimensions. Banach Journal of Mathematical Analysis. 19(2). 6 indexed citations

3.

Fernandez, Arran & Živorad Tomovski. (2025). Fractional Laguerre derivatives and associated differential equations. Integral Transforms and Special Functions. 37(2). 97–125. 1 indexed citations

4.

Gürbüz, Burcu & Arran Fernandez. (2024). Numerical and Analytical Methods for Differential Equations and Systems. Fractal and Fractional. 8(1). 59–59. 1 indexed citations

5.

Fernandez, Arran, et al.. (2024). Mikusiński’s Operational Calculus for Fractional Operators with Different Kernels. IFAC-PapersOnLine. 58(12). 220–225. 2 indexed citations

6.

Fernandez, Arran & Hafiz Muhammad Fahad. (2024). General Transmutation Relations and Their Applications. IFAC-PapersOnLine. 58(12). 149–154. 3 indexed citations

7.

Fernandez, Arran. (2024). On Complex Orders in Fractional Calculus: Floors, Ceilings, and Analytic Continuation. IFAC-PapersOnLine. 58(12). 143–148. 6 indexed citations

8.

Fernandez, Arran, et al.. (2023). On univariate fractional calculus with general bivariate analytic kernels. Computational and Applied Mathematics. 42(5). 2 indexed citations

9.

Fernandez, Arran. (2023). Mikusiński’s operational calculus for general conjugated fractional derivatives. Boletín de la Sociedad Matemática Mexicana. 29(1). 16 indexed citations

10.

Al-Refai, Mohammed & Arran Fernandez. (2023). Generalising the fractional calculus with Sonine kernels via conjugations. Journal of Computational and Applied Mathematics. 427. 115159–115159. 22 indexed citations

11.

Fernandez, Arran & Mohammed Al-Refai. (2023). A Rigorous Analysis of Integro-Differential Operators with Non-Singular Kernels. Fractal and Fractional. 7(3). 213–213. 10 indexed citations

12.

Mohammed, Pshtiwan Othman & Arran Fernandez. (2023). Integral inequalities in fractional calculus with general analytic kernels. Filomat. 37(11). 3659–3669. 3 indexed citations

13.

Kucche, Kishor D., Audumbar Mali, Arran Fernandez, & Hafiz Muhammad Fahad. (2022). On tempered Hilfer fractional derivatives with respect to functions and the associated fractional differential equations. Chaos Solitons & Fractals. 163. 112547–112547. 13 indexed citations

14.

Mali, Audumbar, Kishor D. Kucche, Arran Fernandez, & Hafiz Muhammad Fahad. (2022). On tempered fractional calculus with respect to functions and the associated fractional differential equations. Mathematical Methods in the Applied Sciences. 45(17). 11134–11157. 34 indexed citations

15.

Fernandez, Arran, et al.. (2020). Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus. Fractal and Fractional. 4(3). 45–45. 11 indexed citations

16.

Fernandez, Arran, et al.. (2020). Fractionalisation of complex d-bar derivatives. Complex Variables and Elliptic Equations. 66(3). 437–475. 4 indexed citations

17.

Bǎleanu, Dumitru, Arran Fernandez, & Ali Akgül. (2020). On a Fractional Operator Combining Proportional and Classical Differintegrals. Mathematics. 8(3). 360–360. 242 indexed citations

18.

Fernandez, Arran, et al.. (2018). Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions. Axioms. 7(3). 65–65. 2 indexed citations

19.

Fernandez, Arran. (2018). An elliptic regularity theorem for fractional partial differential operators. Computational and Applied Mathematics. 37(4). 5542–5553. 11 indexed citations

20.

Golmankhaneh, Alireza Khalili & Arran Fernandez. (2018). Fractal Calculus of Functions on Cantor Tartan Spaces. Fractal and Fractional. 2(4). 30–30. 30 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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