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Staff Detail

Assoc. Prof. Dr. ARRAN FERNANDEZ

Assoc. Prof. Dr. ARRAN FERNANDEZ

Duty: Faculty Member
Department: Mathematics
Office: AS259
Tel: +90 392 630 1002
E-Mail: arran.fernandez@emu.edu.tr

Download "CV (PDF)"

Education

Education

2018

PHD

UNIVERSITY, DEPARTMENT OF APPLIED MATHEMATICS & THEORETICAL PHYSICS, UNIVERSITY OF CAMBRIDGE

2014

BA

UNIVERSITY, MATHEMATICAL TRIPOS, UNIVERSITY OF CAMBRIDGE

2014

MA

UNIVERSITY, MATHEMATICS, UNIVERSITY OF CAMBRIDGE

Publications

Publications

SCI- Expanded

International Indexes

Conferences

Conferences

  • Fractional differential equations with variable coefficients: constructive series solutions
  • Fractional d-bar derivatives in C and H
  • Abstract algebra in fractional calculus: general parametrised families with semigroup properties
  • Classifying semigroup properties for integral operators with general Fox–Wright kernels
  • On Connections and Novelty in Fractional Calculus
  • Adapting the Fokas method to fractional-order PDEs
  • Fractional versions of complex Wirtinger (d-bar) derivatives
  • Think Before You Define: on Conjugation Relations and Other Connections
  • Bivariate Mittag-Leffler functions and associations with fractional calculus
  • Semigroup properties for multi-dimensional fractional integral operators
  • The fractional Laplacian of a function with respect to another function
  • On fractional Wirtinger derivatives for complex analysis
  • Making Hard Fractional Problems Easy: on Series and Conjugation
  • Mikusinski’s Operational Calculus for Fractional Differential Equations
  • Bivariate Mittag-Leffler functions and associations with fractional calculus
  • Mikusinski’s Operational Calculus applied in General Classes of Fractional Calculus
  • Fractional versions of complex d-bar derivatives
  • Non-Instantaneous Impulsive Fractional Differential Equations: A Rigorous Survey
  • Variable-Coefficient Fractional Differential Equations and their Solutions
  • Series Solutions to Fractional Differential Equations with Variable Coefficients
  • Modern Fractional Calculus: Two Important General Classes of Operators
  • Classes of Operators: a Viewpoint on Fractional Calculus
  • Complex integrals in fractional calculus
  • Models and classifications in fractional calculus
  • A general class of fractional-calculus operators and their applications
  • Incomplete forms of fractional integrals and derivatives
  • Generalisation and reduction of fractional models
  • Differintegration with Respect to Functions in Fractional Models Involving Mittag-Leffler Functions
  • A series formula for Prabhakar fractional operators
  • Asymptotics to all orders of the Hurwitz zeta function
  • New properties of fractional derivatives defined using Mittag-Leffler kernel
  • Explicit solutions to FPDEs via the Fokas method and fundamental solutions
  • Fractional calculus and the Fokas method
Supervised Thesis

Supervised Thesis

PHD

  • YILDIZ GÜZOĞLU YÜCEL (2025). Fractional Differential Equations with Sonine Kernels.[PhD Thesis ,Eastern Mediterranian University].
  • WALAA A.M. YASIN (2025). Fractionalising Complex Analysis on Clifford Algebras.[PhD Thesis ,Eastern Mediterranian University].
  • SUNDAY SIMON ISAH (2025). Bivariate Versions of Fractional Calculus with General Analytic Kernels.[PhD Thesis ,Eastern Mediterranian University].
  • NOOSHEZA RANI (2023). Mikusinski's Operational Calculus for Prabhakar Fractional Calculus.[PhD Thesis ,Eastern Mediterranian University].
  • HAFIZ MUHAMMAD FAHAD (2023). Generalised Operational Calculus Approach for Fractional Differential Equations.[PhD Thesis ,Eastern Mediterranian University].
  • CHAIMA BOUZOUINA (2021). The Interplay between Fractional Calculus and Complex Analysis.[PhD Thesis ,Eastern Mediterranian University].

MS

  • CEREN ÖZDEN (2026). Uniqueness Properties of Integral Operator Families.[Master Thesis ,Eastern Mediterranian University].
  • CİHAN GÜDER (2023). Clifford Algebras and Clifford Analysis.[Master Thesis ,Eastern Mediterranian University].
  • IBRAHIM ABDULLAHI SALEH (2021). Mikusinski’s Operational Calculus for Fractional Laplacians.[Master Thesis ,Eastern Mediterranian University].
  • BUBACARR KANDEH (2020). Stochastic Calculus with Applications to Finance.[Master Thesis ,Eastern Mediterranian University]. (co-supervised)
  • DUYGU MALYALI (2020). (p;q)-Hahn Difference Operator.[Master Thesis ,Eastern Mediterranian University]. (co-supervised)
Awards

Awards

  • EMU Publication Citation Award (2021)
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