We study nonlinear pantograph-type reaction–diffusion PDEs, which, in addition to the
unknown u= u (x, t), also contain the same functions with dilated or contracted arguments of …

In nanofluids, the effect of convection in the presence of double diffusivity on a magneto
couple stress fluid with the peristaltic flow of a model in a non-uniform channel (MCSFM) is …

In this paper, we consider optimal control of nonlinear fractional-order systems with multiple
pantograph-delays, where the fractional-order derivatives are expressed in the Caputo …

The delay differential equations are of great importance in real-life phenomena. A special
type of these equations is the Pantograph delay differential equation. Generally, solving a …

Due to their capacity to simulate intricate dynamic systems containing memory effects and
non-local interactions, fractional differential equations have attracted a great deal of …

Many real-world problems have been modeled via delay differential equations. The
pantograph delay differential equation y′(t)= ay (t)+ byct belongs to such a set of delay …

The study gives a brief overview of publications on exact solutions for functional PDEs with
delays of various types and on methods for constructing such solutions. For the first time …

ON THE EXACT SOLUTION OF THE FUNCTIONAL DIFFERENTIAL EQUATION () tby tay ty
− + =′ Page 1 Advances in Differential Equations and Control Processes © 2022 Pushpa …

In this paper, we discuss the classical pantograph equation and its generalizations to
include fractional order and the higher order case. The special functions are obtained from …

Книга посвящена линейным и нелинейным обыкновенным дифференциальным
уравнениям и уравнениям в частных производных с постоянным и переменным …