1 citations · 1 across the 2 of their papers we have counts for
6 papers
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…
On tempered fractional calculus with respect to functions and the associated fractional differential equations
Ashwini D. Mali, Kishor D. Kucche, Arran Fernandez +1
The prime aim of the present paper is to continue developing the theory of tempered fractional integrals and derivatives of a function with respect to another function. This theory…
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…
Generalized substantial fractional operators and well-posedness of Cauchy problem
Hafiz Muhammad Fahad, Mujeeb ur Rehman
In this work we focus on substantial fractional integral and differential operators which play an important role in modeling anomalous diffusion. We introduce a new generalized sub…
Tempered and Hadamard-type fractional calculus with respect to functions
Hafiz Muhammad Fahad, Arran Fernandez, Mujeeb ur Rehman +1
Many different types of fractional calculus have been defined, which may be categorised into broad classes according to their properties and behaviours. Two types that have been mu…
On Laplace transforms with respect to functions and their applications to fractional differential equations
Hafiz Muhammad Fahad, Mujeeb ur Rehman, Arran Fernandez
An important class of fractional differential and integral operators is given by the theory of fractional calculus with respect to functions, sometimes called -fractional calcul…