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Education and qualifications (3)

University of Cambridge: Cambridge, Cambridgeshire, GB

2014-10 to 2018-09 | PhD (Department of Applied Mathematics & Theoretical Physics)
Education
Source: Self-asserted source
Arran Fernandez

University of Cambridge: Cambridge, Cambridgeshire, GB

2013-10 to 2014-06 | MMath (Department of Applied Mathematics & Theoretical Physics)
Education
Source: Self-asserted source
Arran Fernandez

University of Cambridge: Cambridge, Cambridgeshire, GB

2010-10 to 2013-06 | BA (Faculty of Mathematics)
Education
Source: Self-asserted source
Arran Fernandez

Works (38)

On Laplace transforms with respect to functions and their applications to fractional differential equations

Mathematical Methods in the Applied Sciences
2023-05-15 | Journal article
DOI: 10.1002/mma.7772
Contributors: Hafiz Muhammad Fahad; Mujeeb ur Rehman; Arran Fernandez
Source: check_circle
Crossref

Mikusiński's operational calculus for Prabhakar fractional calculus

Integral Transforms and Special Functions
2022-12-02 | Journal article
DOI: 10.1080/10652469.2022.2057970
Contributors: Noosheza Rani; Arran Fernandez
Source: check_circle
Crossref

A catalogue of semigroup properties for integral operators with Fox–Wright kernel functions

Studies in Applied Mathematics
2022-05 | Journal article
DOI: 10.1111/sapm.12481
Contributors: Arran Fernandez; Mehmet Ali Özarslan; Cemaliye Kürt
Source: check_circle
Crossref

Solving Prabhakar differential equations using Mikusiński’s operational calculus

Computational and Applied Mathematics
2022-04 | Journal article
DOI: 10.1007/s40314-022-01794-6
Contributors: Noosheza Rani; Arran Fernandez
Source: check_circle
Crossref

Weighted Fractional Calculus: A General Class of Operators

Fractal and Fractional
2022-04 | Journal article | Author
DOI: 10.3390/fractalfract6040208
Contributors: Arran Fernandez; Hafiz Muhammad Fahad
Source: check_circle
Multidisciplinary Digital Publishing Institute

On the fractional calculus of multivariate Mittag-Leffler functions

International Journal of Computer Mathematics
2022-02-01 | Journal article
DOI: 10.1080/00207160.2021.1906869
Contributors: Mehmet Ali Özarslan; Arran Fernandez
Source: check_circle
Crossref

On non‐instantaneous impulsive fractional differential equations and their equivalent integral equations

Mathematical Methods in the Applied Sciences
2021-12 | Journal article
DOI: 10.1002/mma.7669
Contributors: Arran Fernandez; Sartaj Ali; Akbar Zada
Source: check_circle
Crossref

Solving a well-posed fractional initial value problem by a complex approach

Fixed Point Theory and Algorithms for Sciences and Engineering
2021-12 | Journal article
DOI: 10.1186/s13663-021-00696-2
Contributors: Arran Fernandez; Sümeyra Uçar; Necati Özdemir
Source: check_circle
Crossref

Editorial for Special Issue “Fractional Calculus and Special Functions with Applications”

Fractal and Fractional
2021-11-17 | Journal article
DOI: 10.3390/fractalfract5040224
Contributors: Mehmet Ali Özarslan; Arran Fernandez; Iván Area
Source: check_circle
Crossref

On fractional calculus with analytic kernels with respect to functions

Computational and Applied Mathematics
2021-10 | Journal article
DOI: 10.1007/s40314-021-01622-3
Contributors: Christian Maxime Steve Oumarou; Hafiz Muhammad Fahad; Jean-Daniel Djida; Arran Fernandez
Source: check_circle
Crossref

Tempered and Hadamard-Type Fractional Calculus with Respect to Functions

Mediterranean Journal of Mathematics
2021-08 | Journal article
DOI: 10.1007/s00009-021-01783-9
Contributors: Hafiz Muhammad Fahad; Arran Fernandez; Mujeeb ur Rehman; Maham Siddiqi
Source: check_circle
Crossref

Classes of operators in fractional calculus: A case study

Mathematical Methods in the Applied Sciences
2021-07-30 | Journal article
DOI: 10.1002/mma.7341
Contributors: Arran Fernandez; Dumitru Baleanu
Source: check_circle
Crossref

A complex analysis approach to Atangana–Baleanu fractional calculus

Mathematical Methods in the Applied Sciences
2021-07-15 | Journal article
DOI: 10.1002/mma.5754
Contributors: Arran Fernandez
Source: check_circle
Crossref

Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels

Mathematical Methods in the Applied Sciences
2021-07-15 | Journal article
DOI: 10.1002/mma.6188
Contributors: Arran Fernandez; Pshtiwan Mohammed
Source: check_circle
Crossref

Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations

Communications in Nonlinear Science and Numerical Simulation
2021-06 | Journal article
DOI: 10.1016/j.cnsns.2021.105735
Contributors: Arzu Ahmadova; Ismail T. Huseynov; Arran Fernandez; Nazim I. Mahmudov
Source: check_circle
Crossref

On the analytical development of incomplete Riemann–Liouville fractional calculus

TURKISH JOURNAL OF MATHEMATICS
2021-05-20 | Journal article
DOI: 10.3906/mat-2101-64
Contributors: Arran FERNANDEZ; Ceren USTAOĞLU; Mehmet Ali ÖZARSLAN
Source: check_circle
Crossref

On a Five-Parameter Mittag-Leffler Function and the Corresponding Bivariate Fractional Operators

Fractal and Fractional
2021-05-14 | Journal article
DOI: 10.3390/fractalfract5020045
Contributors: Mehmet Ali Özarslan; Arran Fernandez
Source: check_circle
Crossref

On a certain bivariate Mittag‐Leffler function analysed from a fractional‐calculus point of view

Mathematical Methods in the Applied Sciences
2021-02 | Journal article
DOI: 10.1002/mma.6324
Contributors: Cemaliye Kürt; Mehmet Ali Özarslan; Arran Fernandez
Source: check_circle
Crossref

A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators

Computational and Applied Mathematics
2020-09 | Journal article
DOI: 10.1007/s40314-020-01224-5
Contributors: Arran Fernandez; Cemaliye Kürt; Mehmet Ali Özarslan
Source: check_circle
Crossref

Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus

Fractal and Fractional
2020-09-12 | Journal article
DOI: 10.3390/fractalfract4030045
Contributors: Arran Fernandez; Iftikhar Husain
Source: check_circle
Crossref

On some analytic properties of tempered fractional calculus

Journal of Computational and Applied Mathematics
2020-03 | Journal article
DOI: 10.1016/j.cam.2019.112400
Contributors: Arran Fernandez; Ceren Ustaoğlu
Source: check_circle
Crossref

On a Fractional Operator Combining Proportional and Classical Differintegrals

Mathematics
2020-03-06 | Journal article
DOI: 10.3390/math8030360
Contributors: Dumitru Baleanu; Arran Fernandez; Ali Akgül
Source: check_circle
Crossref

On Fractional Operators and Their Classifications

Mathematics
2019-09-08 | Journal article
DOI: 10.3390/math7090830
Contributors: Dumitru Baleanu; Arran Fernandez
Source: check_circle
Crossref

On fractional calculus with general analytic kernels

Applied Mathematics and Computation
2019-08 | Journal article
DOI: 10.1016/j.amc.2019.02.045
Contributors: Arran Fernandez; Mehmet Ali Özarslan; Dumitru Baleanu
Source: check_circle
Crossref

On a New Class of Fractional Difference-Sum Operators with Discrete Mittag-Leffler Kernels

Mathematics
2019-08-22 | Journal article
DOI: 10.3390/math7090772
Contributors: Thabet Abdeljawad; Arran Fernandez
Source: check_circle
Crossref

Some New Fractional-Calculus Connections between Mittag–Leffler Functions

Mathematics
2019-05-28 | Journal article
DOI: 10.3390/math7060485
Contributors: Hari M. Srivastava; Arran Fernandez; Dumitru Baleanu
Source: check_circle
Crossref

Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions

Communications in Nonlinear Science and Numerical Simulation
2019-02 | Journal article
DOI: 10.1016/j.cnsns.2018.07.035
Contributors: Arran Fernandez; Dumitru Baleanu; H.M. Srivastava
Source: check_circle
Crossref

Solving PDEs of fractional order using the unified transform method

Applied Mathematics and Computation
2018-12 | Journal article
DOI: 10.1016/j.amc.2018.07.061
Contributors: Arran Fernandez; Dumitru Baleanu; Athanassios S. Fokas
Source: check_circle
Crossref

The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel

Advances in Difference Equations
2018-12 | Journal article
DOI: 10.1186/s13662-018-1543-9
Contributors: Arran Fernandez; Dumitru Baleanu
Source: check_circle
Crossref

Fractal Calculus of Functions on Cantor Tartan Spaces

Fractal and Fractional
2018-12-18 | Journal article
DOI: 10.3390/fractalfract2040030
Contributors: Alireza Khalili Golmankhaneh; Arran Fernandez
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Asymptotics to all orders of the Hurwitz zeta function

Journal of Mathematical Analysis and Applications
2018-09 | Journal article
DOI: 10.1016/j.jmaa.2018.05.012
Contributors: Arran Fernandez; Athanassios S. Fokas
Source: check_circle
Crossref

Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions

Axioms
2018-09 | Journal article | Author
DOI: 10.3390/axioms7030065
Contributors: Jean-Daniel Djida; Arran Fernandez
Source: check_circle
Multidisciplinary Digital Publishing Institute

An elliptic regularity theorem for fractional partial differential operators

Computational and Applied Mathematics
2018-09-02 | Journal article
DOI: 10.1007/s40314-018-0618-2
Contributors: Arran Fernandez
Source: check_circle
Crossref

Diffusion on Middle-ξ Cantor Sets

Entropy
2018-07-02 | Journal article
DOI: 10.3390/e20070504
Contributors: Alireza Khalili Golmankhaneh; Arran Fernandez; Ali Khalili Golmankhaneh; Dumitru Baleanu
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

A generalisation of the Malgrange–Ehrenpreis theorem to find fundamental solutions to fractional PDEs

2017 | Journal article
DOI: 10.14232/ejqtde.2017.1.15
SOURCE-WORK-ID: BASE:8d2bf339fe9f140e53da6165de06e9efeaa30ae900b93a3a092aa0a789d876a0
Contributors: Dumitru Baleanu; Arran Fernandez
Source: Self-asserted source
Arran Fernandez via BASE - Bielefeld Academic Search Engine

Asymptotics to all orders of the Hurwitz zeta function

2017 | Other
SOURCE-WORK-ID: BASE:e9dfe1d0717fe18e53dd7af343d590b453ef3e541be3b83e8d70176e0132ed23
Contributors: Fernandez, Arran; Fokas, Athanassios S.
Source: Self-asserted source
Arran Fernandez via BASE - Bielefeld Academic Search Engine

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

2017 | Other
DOI: 10.1016/j.cnsns.2017.12.003
SOURCE-WORK-ID: BASE:a8099125856fcc04f6bf652dfa4af71a83f319c52d34a7798ee172e44c8c0771
Contributors: Baleanu, Dumitru; Fernandez, Arran
Source: Self-asserted source
Arran Fernandez via BASE - Bielefeld Academic Search Engine

Uniform asymptotics as a stationary point approaches an endpoint

2017 | Other
SOURCE-WORK-ID: BASE:260ea62597893a77b9e8b9e2e40b7e0b766e4c081cf897d715eae8a981424695
Contributors: Fernandez, Arran; Fokas, Athanassios S.; Spence, Euan A.
Source: Self-asserted source
Arran Fernandez via BASE - Bielefeld Academic Search Engine
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