# Arran Fernandez

#17,962

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British mathematician

## Arran Fernandez's AcademicInfluence.com Rankings

Arran Fernandezmathematics Degrees

Mathematics

#1391

World Rank

#2304

Historical Rank

Measure Theory

#4007

World Rank

#4722

Historical Rank

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Mathematics

## Arran Fernandez's Degrees

- Masters Mathematics University of Oxford

## Why Is Arran Fernandez Influential?

(Suggest an Edit or Addition)According to Wikipedia, Arran Fernandez is a British mathematician who, in June 2013, became Senior Wrangler at Cambridge University, aged 18 years and 0 months. He is thought to be the youngest Senior Wrangler ever. Biography Prior to university, Fernandez was educated at home, predominantly by his father, Neil Fernandez. In 2001 he broke the age record for gaining a General Certificate of Secondary Education , the English academic qualification usually taken at age 16, for which he sat the examinations aged five. In 2003 he became the youngest person ever to gain an A* grade at GCSE, also for Mathematics.

## Arran Fernandez's Published Works

### Published Works

- On some new properties of fractional derivatives with Mittag-Leffler kernel (2017) (233)
- On a Fractional Operator Combining Proportional and Classical Differintegrals (2020) (158)
- On Fractional Operators and Their Classifications (2019) (131)
- On fractional calculus with general analytic kernels (2019) (126)
- Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions (2018) (105)
- Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels (2020) (68)
- A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators (2020) (44)
- The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel (2018) (43)
- Solving PDEs of fractional order using the unified transform method (2018) (40)
- On some analytic properties of tempered fractional calculus (2019) (34)
- Some New Fractional-Calculus Connections between Mittag–Leffler Functions (2019) (33)
- Explicit analytical solutions of incommensurate fractional differential equation systems (2021) (30)
- Classes of operators in fractional calculus: A case study (2021) (29)
- A complex analysis approach to Atangana–Baleanu fractional calculus (2019) (27)
- Diffusion on Middle-ξ Cantor Sets (2018) (25)
- Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations (2021) (25)
- Tempered and Hadamard-Type Fractional Calculus with Respect to Functions (2019) (24)
- On Laplace transforms with respect to functions and their applications to fractional differential equations (2021) (24)
- Fractal Calculus of Functions on Cantor Tartan Spaces (2018) (24)
- Operational calculus for Caputo fractional calculus with respect to functions and the associated fractional differential equations (2021) (22)
- Random Variables and Stable Distributions on Fractal Cantor Sets (2019) (21)
- Relations between fractional models with three-parameter Mittag-Leffler kernels (2020) (19)
- Well-posedness results for fractional semi-linear wave equations (2020) (15)
- On a new definition of fractional differintegrals with Mittag-Leffer kernel (2018) (14)
- Operational Calculus for the Riemann–Liouville Fractional Derivative with Respect to a Function and its Applications (2021) (13)
- A generalisation of the Malgrange–Ehrenpreis theorem to find fundamental solutions to fractional PDEs (2017) (13)
- An elliptic regularity theorem for fractional partial differential operators (2018) (13)
- On fractional calculus with analytic kernels with respect to functions (2020) (11)
- On a certain bivariate Mittag‐Leffler function analysed from a fractional‐calculus point of view (2020) (10)
- Weighted Fractional Calculus: A General Class of Operators (2022) (10)
- On a New Class of Fractional Difference-Sum Operators with Discrete Mittag-Leffler Kernels (2019) (9)
- On the fractional calculus of multivariate Mittag-Leffler functions (2021) (8)
- Asymptotics to all orders of the Hurwitz zeta function (2017) (8)
- Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus (2020) (8)
- The Lerch zeta function as a fractional derivative (2018) (6)
- On tempered fractional calculus with respect to functions and the associated fractional differential equations (2021) (5)
- Linear differential equations with variable coefficients and Mittag-Leffler kernels (2021) (5)
- On non‐instantaneous impulsive fractional differential equations and their equivalent integral equations (2021) (5)
- On a Five-Parameter Mittag-Leffler Function and the Corresponding Bivariate Fractional Operators (2021) (5)
- On the importance of conjugation relations in fractional calculus (2022) (4)
- Prabhakar-type linear differential equations with variable coefficients (2022) (4)
- Uniform asymptotics as a stationary point approaches an endpoint (2017) (4)
- Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions (2018) (4)
- Balance equations with generalised memory and the emerging fractional kernels (2021) (4)
- Mikusiński's operational calculus for Prabhakar fractional calculus (2022) (4)
- A New Representation for the Solutions of Fractional Differential Equations with Variable Coefficients (2021) (3)
- Fractionalisation of complex d-bar derivatives (2020) (3)
- On a new class of fractional difference-sum operators based on discrete Atangana-Baleanu sums. (2019) (3)
- Solving Prabhakar differential equations using Mikusiński’s operational calculus (2022) (3)
- Generalising the fractional calculus with Sonine kernels via conjugations (2023) (2)
- Corrigendum to "Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions" [Commun. Nonlinear Sci. Numer. Simulat. 67 (2019) 517-527] (2020) (2)
- An operational calculus approach to Hilfer–Prabhakar fractional derivatives (2023) (2)
- Solving a well-posed fractional initial value problem by a complex approach (2021) (2)
- On the analytical development of incomplete Riemann–Liouville fractional calculus (2019) (2)
- Brownian Motion on Cantor Sets (2020) (1)
- Lipschitz and Fourier type conditions with moduli of continuity in rank 1 symmetric spaces (2021) (1)
- A catalogue of semigroup properties for integral operators with Fox–Wright kernel functions (2022) (1)
- Analysis in Fractional Calculus and Asymptotics Related to Zeta Functions (2018) (1)
- On linear fractional differential equations with variable coefficients (2022) (1)
- Characterising Extended Lipschitz Type Conditions with Moduli of Continuity (2021) (1)
- On a New Deﬁnition of Fractional Di ﬀ erintegrals with Mittag-Le ﬄ er Kernel (2019) (0)
- Mikusiński’s operational calculus for general conjugated fractional derivatives (2023) (0)
- N T ] 5 D ec 2 01 7 Asymptotics to all orders of the Hurwitz zeta function (2018) (0)
- A Rigorous Analysis of Integro-Differential Operators with Non-Singular Kernels (2023) (0)
- On tempered Hilfer fractional derivatives with respect to functions and the associated fractional differential equations (2022) (0)
- Lipschitz and Fourier type conditions with moduli of continuity in rank 1 symmetric spaces (2021) (0)
- The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel (2018) (0)
- Correction to: An elliptic regularity theorem for fractional partial differential operators (2018) (0)
- An elliptic regularity theorem for fractional partial differential operators (2018) (0)
- Relations between fractional models with three-parameter Mittag-Leffler kernels (2020) (0)
- An operational calculus formulation of fractional calculus with general analytic kernels (2022) (0)
- Fractional differential relations for the Lerch zeta function (2020) (0)
- Solving a well-posed fractional initial value problem by a complex approach (2021) (0)
- Incommensurate multi‐term fractional differential equations with variable coefficients with respect to functions (2023) (0)
- C A ] 2 5 A pr 2 01 8 Diffusion on middle-ǫ Cantor sets (2018) (0)
- Diffusion on middle-$\epsilon$ Cantor sets (2018) (0)
- Editorial for Special Issue “Fractional Calculus and Special Functions with Applications” (2021) (0)
- Two unified families of bivariate Mittag-Leffler functions (2023) (0)
- A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators (2020) (0)
- Correction to: An elliptic regularity theorem for fractional partial differential operators (2018) (0)

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## What Schools Are Affiliated With Arran Fernandez?

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