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Advances in Difference Equations
ISSN 1687-1847 · SpringerOpen · 3.362 artikel di indeks
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Artikel Jurnal
A mathematical model for fall armyworm management on maize biomass
Abstract Fall armyworm (Spodoptera frugiperda), a highly destructive and fast spreading agricultural pest native to North and South America, poses a real threat to global food security. In this paper, to explore the dynamics and implications of fall armyworm outbreak in a field of maize biomass, we…
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Differential equations of even-order with p-Laplacian like operators: qualitative properties of the solutions
Abstract In this paper, we study the oscillation of solutions for an even-order differential equation with middle term, driven by a p-Laplace differential operator of the form { ( r ( x ) Φ p [ z ( κ − 1 ) ( x ) ] ) ′ + a ( x ) Φ p [ f ( z ( κ − 1 ) ( x ) ) ] + ∑ i = 1 j q i ( x ) Φ p [ h ( z ( δ i…
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Nonlinear discrete fractional sum inequalities related to the theory of discrete fractional calculus with applications
Abstract By means of ς fractional sum operator, certain discrete fractional nonlinear inequalities are replicated in this text. Considering the methodology of discrete fractional calculus, we establish estimations of Gronwall type inequalities for unknown functions. These inequalities are of a new…
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Numerical solutions of fractional optimal control with Caputo–Katugampola derivative
Abstract In this paper, we present a numerical technique for solving fractional optimal control problems with a fractional derivative called Caputo–Katugampola derivative. This derivative is a generalization of the Caputo fractional derivative. The proposed technique is based on a spectral method…
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Artikel Jurnal
Existence of solutions for fourth-order nonlinear boundary value problems
Abstract In this paper, we discuss the existence and approximation of solutions for a fourth-order nonlinear boundary value problem by using a quasilinearization technique. In the presence of a lower solution α and an upper solution β in the reverse order α ≥ β $\alpha \geq \beta $ , we show the…
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Modeling, analysis and numerical solution to malaria fractional model with temporary immunity and relapse
Abstract The present paper deals with a fractional-order mathematical epidemic model of malaria transmission accompanied by temporary immunity and relapse. The model is revised by using Caputo fractional operator for the index of memory. We also recommend the utilization of temporary immunity and…
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A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam–Hyers type
Abstract In this research work, a newly-proposed multiterm hybrid multi-order fractional boundary value problem is studied. The existence results for the supposed hybrid fractional differential equation that involves Riemann–Liouville fractional derivatives and integrals of multi-orders type are…
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Dynamical analysis of a stochastic three-species predator–prey system with distributed delays
Abstract A stochastic two-prey one-predator system with distributed delays is proposed in this paper. Firstly, applying the linear chain technique, we transform the predator–prey system with distributed delays to an equivalent system with no delays. Then, by use of the comparison method and the…
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Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate
Abstract In this paper, a stochastic SIRV epidemic model with general nonlinear incidence and vaccination is investigated. The value of our study lies in two aspects. Mathematically, with the help of Lyapunov function method and stochastic analysis theory, we obtain a stochastic threshold of the…
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Existence of positive solutions for a class of fractional differential equations with the derivative term via a new fixed point theorem
Abstract In this paper, we firstly establish the existence and uniqueness of solutions of the operator equation A ( x , x ) + B ( x , x ) + C ( x ) + e = x $A(x,x)+ B(x,x)+C(x)+e = x$ , where A and B are two mixed monotone operators, C is a decreasing operator, and e ∈ P $e\in P$ with θ ≤ e ≤ h…
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Estimation of divergences on time scales via the Green function and Fink’s identity
Abstract The aim of the present paper is to obtain new generalizations of an inequality for n-convex functions involving Csiszár divergence on time scales using the Green function along with Fink’s identity. Some new results in h-discrete calculus and quantum calculus are also presented. Moreover…
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Inequalities for generalized Riemann–Liouville fractional integrals of generalized strongly convex functions
Abstract Some new integral inequalities for strongly ( α , h − m ) $(\alpha ,h-m)$ -convex functions via generalized Riemann–Liouville fractional integrals are established. The outcomes of this paper provide refinements of some fractional integral inequalities for strongly convex, strongly…
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An explicit unconditionally stable scheme: application to diffusive Covid-19 epidemic model
Abstract An explicit unconditionally stable scheme is proposed for solving time-dependent partial differential equations. The application of the proposed scheme is given to solve the COVID-19 epidemic model. This scheme is first-order accurate in time and second-order accurate in space and provides…
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Global solution to the compressible non-isothermal nematic liquid crystal equations with constant heat conductivity and vacuum
Abstract This paper considers the initial-boundary value problem of the one-dimensional full compressible nematic liquid crystal flow problem. The initial density is allowed to touch vacuum, and the viscous and heat conductivity coefficients are kept to be positive constants. Global existence of…
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The analysis of some special results of a Lasota–Wazewska model with mixed variable delays
Abstract This study is about getting some conditions that guarantee the existence and uniqueness of the weighted pseudo almost periodic (WPAP) solutions of a Lasota–Wazewska model with time-varying delays. Some adequate conditions have been obtained for the existence and uniqueness of the WPAP…
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Three solutions to Dirichlet problems for second-order self-adjoint difference equations involving p-Laplacian
Abstract This paper derives several sufficient conditions for the existence of three solutions to the Dirichlet problem for a second-order self-adjoint difference equation involving p-Laplacian through the critical point theory. Furthermore, by using the strong maximum principle, we prove that the…
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On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control
Abstract In this paper, we aim to analyze the complicated dynamical motion of a quarter-car suspension system with a sinusoidal road excitation force. First, we consider a new mathematical model in the form of fractional-order differential equations. In the proposed model, we apply the…
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Results on the approximate controllability of fractional hemivariational inequalities of order 1 < r < 2 $1< r
Abstract In this paper, we investigate the approximate controllability of fractional evolution inclusions with hemivariational inequalities of order 1 < r < 2 $1< r
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Stability analysis of swarming model with time delays
Abstract A swarming model is a model that describes the behavior of the social aggregation of a large group of animals or the community of humans. In this work, the swarming model that includes the short-range repulsion and long-range attraction with the presence of time delay is investigated…
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Spatiotemporal dynamics for a diffusive mussel–algae model near a Hopf bifurcation point
Abstract In this paper, the Hopf bifurcation and Turing instability for a mussel–algae model are investigated. Through analysis of the corresponding kinetic system, the existence and stability conditions of the equilibrium and the type of Hopf bifurcation are studied. Via the center manifold and…
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