Abstract In this paper, we study the oscillation of a class third-order Emden–Fowler delay dynamic equations with sublinear neutral terms on time scales. By using Riccati transformation and integral inequality, establish several new theorems to ensure that each solution equation oscillates or asymptotically approaches zero, results in literature are supplemented extended. Examples given illustr...

We study the existence of continuous periodic solutions of a neutral delay integral equation of advanced type. In the analysis we employ three fixed point theorems: Banach, Krasnosel’skii, and Krasnosel’skii-Schaefer. Krasnosel’skii-Schaefer fixed point theorem requires an a priori bound on all solutions. We employ a Liapunov type method to obtain such bound.

One of the open problems in numerical analysis solutions to high-dimensional nonlinear integral equations with memory kernel and proportional delay is how preserve high-order accuracy for nonsmooth solutions. It well-known that these display a typical weak singularity at initial time, which causes challenges developing efficient algorithms. The key idea proposed approach adopt smoothing transfo...

This paper proposes a control strategy applied to three-phase induction motor (TIM) subject parametric uncertainties, perturbations, and input time delay, whose primary objective is achieve high-performance speed–torque control. The design involves predictive sliding mode observer (P-SMO) robust proportional–integral (PISM), aimed at reducing the detrimental effects of delay perturbations. prop...

Fuzzy integral equations have a major role in the mathematics and applications.In this paper, general fuzzy integral equations with nonlinear fuzzykernels are introduced. The existence and uniqueness of their solutions areapproved and an upper bound for them are determined. Finally an algorithmis drawn to show theorems better.

in this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the lipschitz type condition. moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.

This work studies the fourth-kind integral equation as a mixed system of first and second-kind Volterra equations(VIEs) with constant delay. Regularity, smoothing properties uniqueness solution this are obtaied by using theorems which give relevant conditions related to VIEs delays. 
 A numerical collocation algorithm on basis piecewise polynomial is designed global convergence proposed me...

In this paper, a numerical approach for the fractional order proportional-integral-derivative controller (FO-PID) design for the unstable first order time delay system is proposed. The controller design is based on the system time delay. In order to obtain the relation between the controller parameters and the time delay, for several amounts of the plant time delay and the fractional derivative...

in this paper, three dimensional (3d) static and dynamic analysis of thick plates based on the meshless local petrov-galerkin (mlpg) is presented. using the kinematics of a three-dimensional continuum, the local weak form of the equilibrium equations is derived. a weak formulation for the set of governing equations is transformed into local integral equations on local sub-domains by using a uni...