Asymptotic behavior of solutions of third-order neutral differential equations with discrete and distributed delay

Existence of the Class of Nonlinear Hybrid Fractional Langevin Quantum Differential Equation with Dirichlet Boundary Conditions

“…Consider the fact that the problems (1) and ( 2) have solutions only if x = F x has fixed point, where F is defined in Equation (7). The following existence result is based on Banach's contraction principle.…”

“…It has been discovered that fractional calculus-based models may accurately represent a variety of complex phenomena such as control, viscoelasticity, electrochemistry and porous media. The nonlinear oscillation of earthquakes can also be modeled with fractional derivatives and can eliminate the differences arising from the assumption of continuum traffic flow (see [1][2][3][4][5][6][7][8][9][10] and the related references cited therein).…”

Philos-Type Oscillation Results for Third-Order Differential Equation with Mixed Neutral Terms

“…It is prudent to say that neutral differential equations have drawn obvious regard because of their wide uses and applications in science and technology, including physical sciences, gas and fluid mechanics, signal processing, robotics and traffic systems, engineering, population dynamics, medicine and the like. Of late, the theory of oscillation of differential equations of the third order has become an important topic, and therefore the oscillatory properties of this type of equation have already been obtained [1][2][3][4][5][6]. In particular, it is a necessary and invaluable issue, either theoretically or practically, to probe into neutral differential equations with distributed deviating arguments.…”

“…Cuimei et al [2] established an important extension of the Kamenev oscillation criterion for a third-order equation with a middle term. Ganesan et al [3] studied the oscillatory properties of a third-order equation with a neutral type. Kumar et al [6] extended the oscillation results of a third-order equation with distributed deviating arguments.…”

Qualitative Behavior of Unbounded Solutions of Neutral Differential Equations of Third-Order

“…Because of the enormous advantage of neutral differential equations in describing several neutral phenomena, there is great scientific and academic value in studying neutral differential equations, both theoretically and practically; see [1]. Lately, there have been numerous articles investigating the oscillation of the solutions of third/higher order neutral differential equations with/without deviating arguments; see [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16].…”