Numerical solutions and synchronization of a variable-order fractional chaotic system
In the present paper, we implement a novel numerical method for solving differential
equations with fractional variable-order in the Caputo sense to research the dynamics of a …
equations with fractional variable-order in the Caputo sense to research the dynamics of a …
Complex dynamics of a discrete-time Bazykin–Berezovskaya prey-predator model with a strong Allee effect
The present paper investigates the critical normal form coefficients for the one-parameter
and two-parameter bifurcations of a discrete-time Bazykin–Berezovskaya prey-predator …
and two-parameter bifurcations of a discrete-time Bazykin–Berezovskaya prey-predator …
[PDF][PDF] BEYOND LAPLACE AND FOURIER TRANSFORMS Challenges and Future Prospects.
Laplace and Fourier transforms are widely used independently in engineering for linear
differential equations including fractional differential equations. Here we introduce a …
differential equations including fractional differential equations. Here we introduce a …
Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator
In this research study, fuzzy fractional differential equations in presence of the Atangana–
Baleanu–Caputo differential operators are analytically and numerically treated using …
Baleanu–Caputo differential operators are analytically and numerically treated using …
On the hybrid fractional differential equations with fractional proportional derivatives of a function with respect to a certain function
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 …
proportional derivatives of a function with respect to a certain continuously differentiable and …
[HTML][HTML] A new mathematical modeling of the COVID-19 pandemic including the vaccination campaign
M Yavuz, FÖ Coşar, F Günay, FN Özdemir - Open Journal of Modelling …, 2021 - scirp.org
In a short time, many illustrative studies have been conducted on the mathematical modeling
and analysis of COVID-19. There are not enough studies taking into account the vaccine …
and analysis of COVID-19. There are not enough studies taking into account the vaccine …
New illustrative applications of integral transforms to financial models with different fractional derivatives
We investigate a couple of different financial/economic models based on market equilibrium
and option pricing with three different fractional derivatives in this paper. We obtain the …
and option pricing with three different fractional derivatives in this paper. We obtain the …
[HTML][HTML] A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations
In this article, we introduce a new technique to create a series solution to the time-fractional
Navier-Stokes equations is using a combination of the Laplace Transform with the residual …
Navier-Stokes equations is using a combination of the Laplace Transform with the residual …
Flip and generalized flip bifurcations of a two-dimensional discrete-time chemical model
This paper focuses on introducing a two-dimensional discrete-time chemical model and the
existence of its fixed points. Also, the one and two-parameter bifurcations of the model are …
existence of its fixed points. Also, the one and two-parameter bifurcations of the model are …
Condensing functions and approximate endpoint criterion for the existence analysis of quantum integro-difference FBVPs
A nonlinear quantum boundary value problem (q-FBVP) formulated in the sense of quantum
Caputo derivative, with fractional q-integro-difference conditions along with its fractional …
Caputo derivative, with fractional q-integro-difference conditions along with its fractional …