Results 31 to 40 of about 2,515,351 (324)

Boundary value problem for fractional neutral differential equations with infinite delay

open access: yesAbhath Journal of Basic and Applied Sciences, 2022
In this article, we develop and extend some qualitative analyses of a class of neutral functional differential equations involving a Caputo fractional derivative over the infinite delay period.
Mohammed S. Abdo
semanticscholar   +1 more source

Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous Variables

open access: yesAdvances in Difference Equations, 2009
A class of impulsive infinite delay difference equations with continuous variables is considered. By establishing an infinite delay difference inequality with impulsive initial conditions and using the properties of “ϱ-cone,” we ...
Zhixia Ma, Liguang Xu
doaj   +2 more sources

A Note on Existence of Mild Solutions for Second-Order Neutral Integro-Differential Evolution Equations with State-Dependent Delay

open access: yesFractal and Fractional, 2021
This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay.
Shahram Rezapour   +4 more
doaj   +1 more source

Optimal control of conformable fractional neutral stochastic integrodifferential systems with infinite delay

open access: yesResults in Control and Optimization, 2023
The main concern of the manuscript deals with the optimal control problem of conformable fractional neutral stochastic integrodifferential systems with infinite delay.
Dimplekumar Chalishajar   +4 more
doaj   +1 more source

On the Fundamental Analyses of Solutions to Nonlinear Integro-Differential Equations of the Second Order

open access: yesMathematics, 2022
In this article, a scalar nonlinear integro-differential equation of second order and a non-linear system of integro-differential equations with infinite delays are considered.
Cemil Tunç, Osman Tunç
doaj   +1 more source

On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay

open access: yesEvolution Equations and Control Theory, 2021
In our manuscript, we organize a group of sufficient conditions of neutral integro-differential inclusions of Sobolev-type with infinite delay via resolvent operators.
V. Vijayakumar   +2 more
semanticscholar   +1 more source

Optimal control for neutral stochastic systems with infinite time delay and deviated argument driven by Rosenblatt process

open access: yesResults in Control and Optimization, 2022
In this article, the authors set up an optimal control for a class of neutral Stochastic Integro-Differential Equations (SIDEs) with infinite delay and deviated arguments driven by Rosenblatt process in Hilbert space.
Dimplekumar Chalishajar   +3 more
doaj   +1 more source

Existence results to a ψ- Hilfer neutral fractional evolution equation with infinite delay

open access: yesNonautonomous Dynamical Systems, 2021
In this paper, we prove the existence and uniqueness of a mild solution to the system of ψ- Hilfer neutral fractional evolution equations with infinite delay H𝔻0αβ;ψ [x(t) − h(t, xt)] = A x(t) + f (t, x(t), xt), t ∈ [0, b], b > 0 and x(t) = ϕ(t), t ∈ (−∞,
F. Norouzi, G. N’Guérékata
semanticscholar   +1 more source

Infinite horizon optimal control of forward-backward stochastic differential equations with delay [PDF]

open access: yes, 2013
We consider a problem of optimal control of an infinite horizon system governed by forward-backward stochastic differential equations with delay. Sufficient and necessary maximum principles for optimal control under partial information in infinite ...
Agram, Nacira, Øksendal, Bernt
core   +2 more sources

Study on the Existence of Solutions for a Class of Nonlinear Neutral Hadamard-Type Fractional Integro-Differential Equation with Infinite Delay

open access: yesFractal and Fractional, 2021
The existence of solutions for a class of nonlinear neutral Hadamard-type fractional integro-differential equations with infinite delay is researched in this paper.
Kaihong Zhao, Yue Ma
semanticscholar   +1 more source

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