This work is devoted to the time-fractional differential equations with the regularized
Prabhakar derivative and their analytical solutions. We generalize the invariant subspace …

This paper deals with the stability and bifurcation of equilibria in a new chaotic fractional-
order system in the sense of the Caputo fractional derivative with the chaos entanglement …

In this paper, we treat a numerical scheme for the regular fractional Sturm–Liouville problem
containing the Prabhakar fractional derivatives with the mixed boundary conditions. We …

In this article, we introduce the regular and singular fractional Sturm–Liouville problems with
the Hilfer and Hilfer–Prabhakar derivatives. We show that these problems with the …

In this paper, we studied the stabilization of nonlinear regularized Prabhakar fractional
dynamical systems without and with time delay. We establish a Lyapunov stabiliy theorem …

Considering that healthy tissue cells and tumor cells restrain each other's the average
growth rate with a corresponding delay, a fractional-order cancer model with time delays is …

This work is devoted to study of the stability analysis of generalized fractional nonlinear
system including the regularized Prabhakar derivative. We present several criteria for the …

We introduce a fractional type Black-Scholes model in European options including the
regularized Prabhakar derivative. We apply the reconstruction of variational iteration method …

Acta Mathematica Academiae Paedagogicae Nyıregyháziensis 34 (2023), 34–49. www.emis.de/journals
ISSN 1786-0091 LYAPUNOV-TYPE Page 1 Acta Mathematica Academiae Paedagogicae …

In this paper, we introduce a fractional nonlinear system of differential equations including
the Riemann-Liouville derivatives. We present some new Lyapunov-type inequalities for this …