Cited by Asymptotic constancy for solutions of abstract non-linear fractional equations with delay and generalized Hilfer <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e23"><mml:mrow><mml:mo>(</mml:mo><mml:mi>a</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mo>,</mml:mo><mml:mi>α</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>-derivatives

Approximate Controllability for Sobolev-Type Fuzzy Hilfer Fractional Neutral Integro-Differential Inclusion with Clarke Subdifferential Type DOI

R. Hariharan,

R. Udhayakumar

Qualitative Theory of Dynamical Systems, Journal Year: 2025, Volume and Issue: 24(1)

Published: Jan. 13, 2025

Language: Английский

Citations

Optimal Control for Neutral Stochastic Integrodifferential Equations with Infinite Delay Driven by Poisson Jumps and Rosenblatt Process DOI

Dimplekumar Chalishajar, Ramkumar Kasinathan, Ravikumar Kasinathan

et al.

Fractal and Fractional, Journal Year: 2023, Volume and Issue: 7(11), P. 783 - 783

Published: Oct. 26, 2023

In this paper, we investigate the optimal control problems for a class of neutral stochastic integrodifferential equations (NSIDEs) with infinite delay driven by Poisson jumps and Rosenblat process in Hilbert space involving concrete-fading memory-phase space, which define advanced phase process. First, introduce conditions that ensure existence uniqueness mild solutions using analysis theory, successive approximation, Grimmer’s resolvent operator theory. Next, prove exponential stability, includes mean square especially stability their maps. Following that, discuss requirements an pair systems governed partial delay. Then, explore examples illustrate potential main result, mainly heat equation, filter system, traffic signal light systems, biological processes human body. We conclude numerical simulation system studied. This work is unique combination theory practical simulation.

Language: Английский

Citations

On controllability for Sobolev-type fuzzy Hilfer fractional integro-differential inclusions with Clarke subdifferential DOI

Chuanlin Zhang, Guoju Ye, Wei Liu

et al.

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 183, P. 114907 - 114907

Published: April 30, 2024

Language: Английский

Citations

Fractional stochastic Schrödinger evolution system with complex potential and poisson jumps: Qualitative behavior and T-controllability DOI

Varshini Sandrasekaran,

Ravikumar Kasinathan, Ramkumar Kasinathan

et al.

Partial Differential Equations in Applied Mathematics, Journal Year: 2024, Volume and Issue: 10, P. 100713 - 100713

Published: May 14, 2024

Establishing the fractional stochastic Schrödinger equations (FSSEs) in Hilbert space with complex potential and Poisson jumps is primary goal of this work. Stochastic analysis, Mönch fixed point theorem, calculus, semigroup theory all support possibility a moderate solution for suggested system. We construct prove criteria mild solution's exponential fall. The trajectory (T-) controllability equation established latter portion, extending findings Durga Muthukumar (2023); Grecksch Lisei (2011); Keller (2013); Wang et al. (2012). An example given to verify theoretical gained. discuss use Schrödinger's Oil Gas Industry.

Language: Английский

Citations

Asymptotic constancy for solutions of abstract non-linear fractional equations with delay and generalized Hilfer (a,b,α)-derivatives DOI

Marko Kostić, Halis Can Koyuncuoğlu, Tuğçe Katıcan

et al.

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 191, P. 115934 - 115934

Published: Dec. 25, 2024

Language: Английский

Citations