Analytical treatment of regularized Prabhakar fractional differential equations by invariant subspaces
This work is devoted to the time-fractional differential equations with the regularized
Prabhakar derivative and their analytical solutions. We generalize the invariant subspace …
Prabhakar derivative and their analytical solutions. We generalize the invariant subspace …
Hopf bifurcation, chaos control and synchronization of a chaotic fractional-order system with chaos entanglement function
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 …
order system in the sense of the Caputo fractional derivative with the chaos entanglement …
Finiteness conditions for performance indices in generalized fractional-order systems defined based on the regularized Prabhakar derivative
In the present paper, we introduce the generalized fractional-order control systems with the
regularized Prabhakar fractional derivative and investigate the BIBO stability for this kind of …
regularized Prabhakar fractional derivative and investigate the BIBO stability for this kind of …
Synchronization and control of fractional laser chaotic systems defined based on the regularized Prabhakar derivative with incommensurate parameters
This study introduces two 4D and 5D laser chaotic systems, including the regularized
Prabhakar fractional derivative with incommensurate parameters, and investigates their …
Prabhakar fractional derivative with incommensurate parameters, and investigates their …
Stability and chaos control of regularized Prabhakar fractional dynamical systems without and with delay
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 …
dynamical systems without and with time delay. We establish a Lyapunov stabiliy theorem …
Generalized Mittag-Leffler stability of nonlinear fractional regularized Prabhakar differential systems
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 …
system including the regularized Prabhakar derivative. We present several criteria for the …
Black-Scholes Equation Solution Using Laplace-Adomian Decomposition Method.
I Sumiati, E Rusyaman - IAENG International Journal of …, 2019 - search.ebscohost.com
Black-Scholes partial differential equation is a very well-known model for pricing European
option with the underlying financial assets being the stock price. The combination of the …
option with the underlying financial assets being the stock price. The combination of the …
High-order approximation of Caputo–Prabhakar derivative with applications to linear and nonlinear fractional diffusion models
In this study, we devise a high-order numerical scheme to approximate the Caputo–
Prabhakar derivative of order α∈(0, 1), using an rth-order time step** Lagrange …
Prabhakar derivative of order α∈(0, 1), using an rth-order time step** Lagrange …
On new approximations of Caputo–Prabhakar fractional derivative and their application to reaction–diffusion problems with variable coefficients
This article is devoted to constructing and analyzing two new approximations (CPL2‐1 σ _ σ
and CPL‐2 formulas) for the Caputo–Prabhakar fractional derivative. The error bounds for …
and CPL‐2 formulas) for the Caputo–Prabhakar fractional derivative. The error bounds for …
Laplace decomposition method for solving fractional black-scholes european option pricing equation
AE Owoyemi, I Sumiati… - International …, 2020 - journal.rescollacomm.com
Fractional calculus is related to derivatives and integrals with the order is not an integer.
Fractional Black-Scholes partial differential equation to determine the price of European …
Fractional Black-Scholes partial differential equation to determine the price of European …