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Open AccessStudy on the stability and its simulation algorithm of a nonlinear impulsive ABC-fractional coupled system with a Laplacian operator via F-contractive map**
In this paper, we study the solvability and generalized Ulam–Hyers (UH) stability of a nonlinear Atangana–Baleanu–Caputo (ABC) fractional coupled system with a Laplacian operator and impulses. First, this syst...
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Article
Open AccessGeneralized UH-stability of a nonlinear fractional coupling \((\mathcalligra{p}_{1},\mathcalligra{p}_{2})\) -Laplacian system concerned with nonsingular Atangana–Baleanu fractional calculus
The classical p \(\mathcalligra{p}\) -Laplace equation is one of the special a...
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Open AccessExistence and Ulam–Hyers stability of a kind of fractional-order multiple point BVP involving noninstantaneous impulses and abstract bounded operator
In this paper, we mainly study a kind of fractional-order multiple point boundary value problem involving noninstantaneous impulse and abstract bounded operator. The existence and uniqueness is obtained by the...
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Open AccessExistence of mild solution for a class of coupled systems of neutral fractional integro-differential equations with infinite delay in Banach space
We deal with a class of coupled systems of neutral fractional integro-differential equations with infinite delay in a Banach space in this paper. Based on the Banach contraction principle and Krasnoselskii’s f...
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Open AccessBoundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses
This paper considers the boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses. Some sufficient conditions of the existence and un...
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Open AccessExistence results of nonlocal boundary value problem for a nonlinear fractional differential coupled system involving fractional order impulses
In this paper, we study the nonlocal boundary value problem for a nonlinear fractional differential coupled system with fractional order impulses. Applying Nonlinear Alternative of Leray–Schauder, we obtain so...
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Open AccessExistence of positive periodic solutions for the impulsive Lotka–Volterra cooperative population model with time-delay and harvesting control on time scales
In this paper, we consider a class of impulsive Lotka–Volterra cooperative population models with time delay and harvesting control on time scales. Using the fixed point theorem of strict-set-contraction, we a...
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Open AccessGlobal exponential stability of positive almost periodic solutions for a class of two-layer Gilpin–Ayala predator–prey model with time delays
This paper mainly considers a class of two-layer Gilpin–Ayala predator–prey models with time delays. By means of Mawhin’s continuation theorem of coincidence degree theory, some new sufficient criteria for the...
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Open AccessSolvability of nonlocal boundary value problem for a class of nonlinear fractional differential coupled system with impulses
This paper is considered with a class of nonlinear fractional differential coupled system with fractional differential boundary value conditions and impulses. By means of the Banach contraction principle and t...
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Article
Open AccessExistence of positive periodic solutions for a class of Gilpin-Ayala ecological models with discrete and distributed time delays
In this paper, we deal with a class of Gilpin-Ayala ecological models with discrete and distributed time delays. By employing a fixed point theorem of strict-set-contraction and inequality techniques, some suf...
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Article
Open AccessPositive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales
This paper is concerned with the Lotka-Volterra-like functional differential equations with impulses and infinite distributed time delays on time scales. By applying a fixed point theorem of strict-set contrac...
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Open AccessStability and Hopf bifurcation of a modified predator-prey model with a time delay and square root response function
In this paper, we consider a two-dimensional predator-prey model with a time delay and square root response function. We analyze the stability of equilibria with the delay τ increasing and the critical value of τ
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Open AccessSolvability of triple-point integral boundary value problems for a class of impulsive fractional differential equations
This paper is concerned with a class of triple-point integral boundary value problems for impulsive fractional differential equations involving the Riemann-Liouville fractional derivative of order α ( ...
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Open AccessImpulsive integral BVP for nonlinear integro-differential equation with monotone homomorphism in Banach spaces
In this paper, we consider a class of integral boundary value problems for nonlinear third-order impulsive integro-differential equation with a monotone homomorphism in real Banach space. By employing fixed po...
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Open AccessExistence of solutions for the delayed nonlinear fractional functional differential equations with three-point integral boundary value conditions
This paper is concerned with the three-point integral boundary value problems of time-delay nonlinear fractional functional differential equations involving Caputo fractional derivatives of order ...
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Article
Impulsive Boundary Value Problems for Two Classes of Fractional Differential Equation with Two Different Caputo Fractional Derivatives
We consider the impulsive boundary value problems for two classes of fractional differential equations with two different Caputo fractional derivatives and generalized boundary value conditions. Natural formul...
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Open AccessMultiple monotone positive solutions of integral BVPs for a higher-order fractional differential equation with monotone homomorphism
This paper is concerned with the integral boundary value problems of higher-order fractional differential equation with. In the sense of a monotone homomorphism, some sufficient criteria are established to gua...
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Open AccessImpulsive integral boundary value problems of the higher-order fractional differential equation with eigenvalue arguments
We consider a class of higher-order nonlinear Riemann-Liouville fractional differential equation with Riemann-Stieltjes integral boundary value conditions and impulses as follows:
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Open AccessTriple positive solutions for two classes of delayed nonlinear fractional FDEs with nonlinear integral boundary value conditions
This paper is concerned with two classes of delayed nonlinear fractional functional differential equations (FDEs) with nonlinear Riemann-Stieltjes integral boundary value conditions. By employing the well-know...
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Existence of Positive Solutions for a Class of Higher-Order Caputo Fractional Differential Equation
In this paper, the following nonlinear fractional ordinary differential boundary value problem $$\begin{aligned} \left\{ \begin{array}...
