336 citations · 431 across the 7 of their papers we have counts for
13 papers
Prabhakar-type linear differential equations with variable coefficients
Arran Fernandez, Joel E. Restrepo, Durvudkhan Suragan
Linear differential equations with variable coefficients and Prabhakar-type operators featuring Mittag-Leffler kernels are solved. In each case, the unique solution is constructed…
Weighted fractional calculus: a general class of operators
Arran Fernandez, Hafiz Muhammad Fahad
The operators of fractional calculus come in many different types, which can be categorised into general classes according to their nature and properties. We conduct a formal study…
Lipschitz and Fourier type conditions with moduli of continuity in rank 1 symmetric spaces
Arran Fernandez, Joel E. Restrepo, Durvudkhan Suragan
Sufficient and necessary results have been proven on Lipschitz type integral conditions and bounds of its Fourier transform for an function, in the setting of Riemannian symm…
A new representation for the solutions of fractional differential equations with variable coefficients
Arran Fernandez, Joel E. Restrepo, Durvudkhan Suragan
A recent development in the theory of fractional differential equations with variable coefficients has been a method for obtaining an exact solution in the form of an infinite seri…
On fractional calculus with analytic kernels with respect to functions
Christian Maxime Steve Oumarou, Hafiz Muhammad Fahad, Jean-Daniel Djida +1
Many different types of fractional calculus have been proposed, which can be organised into some general classes of operators. For a unified mathematical theory, results should be…
Fractional differential relations for the Lerch zeta function
Arran Fernandez, Jean-Daniel Djida
Starting from a recent result expressing the Lerch zeta function as a fractional derivative, we consider further fractional derivatives of the Lerch zeta function with respect to d…