This paper deals with a new class of hybrid fractional differential equations with fractional
proportional derivatives of a function with respect to a certain continuously differentiable and …

In this paper, we investigate novel solutions of fractional‐order option pricing models and
their fundamental mathematical analyses. The main novelties of the paper are the analysis …

In this paper, it has been discussed the fractional model of Brinkman type fluid (BTF) holding
hybrid nanoparticles. Titanium dioxide (T i O 2) and silver (Ag) nanoparticles were liquefied …

The concept of rate of change gave birth to numerous important theories and applications in
mathematics, applied mathematics and other related academic disciplines. For example …

The main contribution of this paper is to prove the existence of extremal solutions for a novel
class of ψ-Caputo fractional differential equation with nonlinear boundary conditions. For …

In this paper, we deliberate two classes of initial value problems for nonlinear fractional
differential equations under a version weighted generalized of Caputo fractional derivative …

This study proposes a new fractional model to show how heat transfers through
nanomaterials by considering the thermoelastic vibration of one-dimensional nanostructures …

We show an application of a subdiffusion equation with Caputo fractional time derivative
with respect to another function g to describe subdiffusion in a medium having a structure …

In this paper, we introduce a generalized fractional operator in the setting of Hilfer fractional
derivatives, the psi-Hilfer generalized proportional fractional derivative of a function with …

A scalar nonlinear integro-differential equation with time-variable and bounded delays and
generalized Caputo proportional fractional derivative is considered. The main goal of this …