93 publication(s) trouvée(s)
Article scientifique
On the difference equation x n + 1 = a x n − l + b x n − k + f ( x n − l , x n − k ) $x_{n+1}=ax_{n-l}+bx_{n-k}+f ( x_{n-l},x_{n-k} )$
In this paper, we study the asymptotic behavior of the solutions of a new class of difference equations $$x_{n+1}=ax_{n-l}+bx_{n-k}+f ( …
Article scientifique
Mathematical modeling of the effects of public health education on tungiasis—a neglected disease with many challenges in endemic communities
In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education …
Article scientifique
On defining the distributions δ r $\delta^{r}$ and ( δ ′ ) r $(\delta ^{\prime})^{r}$ by conformable derivatives
In this paper, starting from a fixed δ-sequence, we use the generalized Taylor’s formula based on conformable derivatives and the …
Article scientifique
A fractional order pine wilt disease model with Caputo–Fabrizio derivative
A Caputo–Fabrizio type fractional order mathematical model for the dynamics of pine wilt disease (FPWD) is presented. The basic properties …
Article scientifique
Stability of delayed HIV dynamics models with two latent reservoirs and immune impairment
The purpose of this paper is to investigate the qualitative behavior of HIV dynamics models with immune impairment. The HIV …
Article scientifique
Bifurcations in four-dimensional switched systems
In this paper, the focus is on a bifurcation of period- $\mathcal{K}$ orbit that can occur in a class of …
Article scientifique
Coupled Hilfer fractional differential systems with random effects
This paper deals with some existence results for two classes of coupled systems of Hilfer and Hilfer–Hadamard random fractional differential …
Article scientifique
Solitary and periodic wave solutions of higher-dimensional conformable time-fractional differential equations using the ( G ′ G , 1 G ) $( \frac{G'}{G},\frac{1}{G} ) $ -expansion method
In this paper, the two variables $( \frac{G'}{G},\frac{1}{G} ) $ -expansion method is applied to obtain new exact solutions with …
Article scientifique
Function-based hybrid synchronization types and their coexistence in non-identical fractional-order chaotic systems
This paper presents new results related to the coexistence of function-based hybrid synchronization types between non-identical incommensurate fractional-order systems characterized …
Article scientifique
Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies
In this article, we present some existence of weak solutions for a coupled system of implicit fractional differential equations of …
Article scientifique
Dispersive analytical soliton solutions of some nonlinear waves dynamical models via modified mathematical methods
We have employed a modified form of the F-expansion technique on four nonlinear waves models and obtained numerous exact and …
Article scientifique
Theory of nth-order linear general quantum difference equations
In this paper, we derive the solutions of homogeneous and non-homogeneous nth-order linear general quantum difference equations based on the …
Article scientifique
Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system
The analytical and solitary traveling solutions of the nonlinear complex fractional generalized Zakharov equations are investigated. The nonlinear complex fractional …
Article scientifique
The Nehari manifold for a boundary value problem involving Riemann–Liouville fractional derivative
We aim to investigate the following nonlinear boundary value problems of fractional differential equations: ( P λ ) { − …
Article scientifique
Optimality conditions for fractional differential inclusions with nonsingular Mittag–Leffler kernel
In this paper, by using the Dubovitskii–Milyutin theorem, we consider a differential inclusions problem with fractional-time derivative with nonsingular Mittag–Leffler …
Article scientifique
New aspects of poor nutrition in the life cycle within the fractional calculus
The nutrition of pregnant women is crucial for giving birth to a healthy baby and even for the health status …
Article scientifique
Impulsive Hilfer fractional differential equations
Existence and controllability results for nonlinear Hilfer fractional differential equations are studied. Sufficient conditions for existence and approximate controllability for …
Article scientifique
Stability of a diffusive predator–prey model with modified Leslie–Gower and Holling-type II schemes and time-delay in two dimensions
Our investigation deals with the stability and permanence of diffusive predator–prey model with modified Leslie–Gower and Holling-type II schemes and …
Article scientifique
A fractional order SIR epidemic model with nonlinear incidence rate
In this paper, a fractional order SIR epidemic model with nonlinear incidence rate is presented and analyzed. First, we prove …
Article scientifique
Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives
The generalized Caputo fractional derivative is a name attributed to the Caputo version of the generalized fractional derivative introduced in …