Arran Fernandez

According to our database, Arran Fernandez authored at least 25 papers between 2018 and 2026.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2026

Fractional differential equations with continuous variable coefficients and Sonine kernels.

Yildiz Güzoglu Yücel, Arran Fernandez, Nazim I. Mahmudov

Commun. Nonlinear Sci. Numer. Simul., 2026

2025

Bivariate substitutions from analytic kernels to fractional differintegral operators.

Sunday Simon Isah, Arran Fernandez, Mehmet Ali Özarslan

Commun. Nonlinear Sci. Numer. Simul., 2025

2024

The Peano-Sard theorem for Caputo fractional derivatives and applications.

Arran Fernandez, Suzan Cival Buranay

J. Comput. Appl. Math., May, 2024

Comparison principles for a class of general integro-differential inequalities with applications.

Mohammed Al-Refai, Arran Fernandez

Comput. Appl. Math., March, 2024

Mikusiński's operational calculus for multi-dimensional fractional operators with applications to fractional PDEs.

Noosheza Rani, Arran Fernandez

Commun. Nonlinear Sci. Numer. Simul., 2024

2023

Generalising the fractional calculus with Sonine kernels via conjugations.

Mohammed Al-Refai, Arran Fernandez

J. Comput. Appl. Math., August, 2023

On univariate fractional calculus with general bivariate analytic kernels.

Sunday Simon Isah, Arran Fernandez, Mehmet Ali Özarslan

Comput. Appl. Math., 2023

Two unified families of bivariate Mittag-Leffler functions.

Cemaliye Kürt, Arran Fernandez, Mehmet Ali Özarslan

Appl. Math. Comput., 2023

2022

On the importance of conjugation relations in fractional calculus.

Arran Fernandez, Hafiz Muhammad Fahad

Comput. Appl. Math., September, 2022

Solving Prabhakar differential equations using Mikusiński's operational calculus.

Noosheza Rani, Arran Fernandez

Comput. Appl. Math., April, 2022

On the fractional calculus of multivariate Mittag-Leffler functions.

Mehmet Ali Özarslan, Arran Fernandez

Int. J. Comput. Math., 2022

On linear fractional differential equations with variable coefficients.

Arran Fernandez, Joel E. Restrepo, Durvudkhan Suragan

Appl. Math. Comput., 2022

2021

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

Arzu Ahmadova, Ismail T. Huseynov, Arran Fernandez, Nazim I. Mahmudov

Commun. Nonlinear Sci. Numer. Simul., 2021

On fractional calculus with analytic kernels with respect to functions.

Christian Maxime Steve Oumarou, Hafiz Muhammad Fahad, Jean-Daniel Djida, Arran Fernandez

Comput. Appl. Math., 2021

Explicit analytical solutions of incommensurate fractional differential equation systems.

Ismail T. Huseynov, Arzu Ahmadova, Arran Fernandez, Nazim I. Mahmudov

Appl. Math. Comput., 2021

Operational calculus for Caputo fractional calculus with respect to functions and the associated fractional differential equations.

Hafiz Muhammad Fahad, Arran Fernandez

Appl. Math. Comput., 2021

2020

On some analytic properties of tempered fractional calculus.

Arran Fernandez, Ceren Ustaoglu

J. Comput. Appl. Math., 2020

Corrigendum to "Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions" [Commun. Nonlinear Sci. Numer. Simulat. 67 (2019) 517-527].

Arran Fernandez, Dumitru Baleanu, H. M. Srivastava

Commun. Nonlinear Sci. Numer. Simul., 2020

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

Arran Fernandez, Cemaliye Kürt, Mehmet Ali Özarslan

Comput. Appl. Math., 2020

2019

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

Arran Fernandez, Dumitru Baleanu, H. M. Srivastava

Commun. Nonlinear Sci. Numer. Simul., 2019

On fractional calculus with general analytic kernels.

Arran Fernandez, Mehmet Ali Özarslan, Dumitru Baleanu

Appl. Math. Comput., 2019

2018

Diffusion on Middle-<i>ξ</i> Cantor Sets.

Alireza Khalili Golmankhaneh, Arran Fernandez, Ali Khalili Golmankhaneh, Dumitru Baleanu

Entropy, 2018

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

Dumitru Baleanu, Arran Fernandez

Commun. Nonlinear Sci. Numer. Simul., 2018

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

Jean-Daniel Djida, Arran Fernandez

Axioms, 2018

Solving PDEs of fractional order using the unified transform method.

Arran Fernandez, Dumitru Baleanu, Athanassios S. Fokas

Appl. Math. Comput., 2018