The solvability and optimal controls for some fractional impulsive equations of order \(1 < \alpha < 2\)

DOI10.1155/2014/142067zbMath1470.34021OpenAlexW2042029526WikidataQ59035460 ScholiaQ59035460MaRDI QIDQ1722173

Xianghu Liu, Maojun Bin, Zhen-Hai Liu

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/142067

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Fractional ordinary differential equations (34A08) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (10)

Results on the existence and controllability of fractional integro-differential system of order \(1<r<2\) via measure of noncompactness ⋮ On the approximate controllability results for fractional integrodifferential systems of order \(1 < r < 2\) with sectorial operators ⋮ Existence of mild solutions to nonlocal fractional Cauchy problems via compactness ⋮ Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order \(1 < \alpha < 2\) ⋮ Approximate controllability results for the Sobolev type fractional delay impulsive integrodifferential inclusions of order \(r \in (1,2)\) via sectorial operator ⋮ Optimal control results for impulsive fractional delay integrodifferential equations of order 1 < r < 2 via sectorial operator ⋮ Existence of solution for Volterra–Fredholm type stochastic fractional integro‐differential system of order μ ∈ (1, 2) with sectorial operators ⋮ Approximate controllability and optimal control in fractional differential equations with multiple delay controls, fractional Brownian motion with Hurst parameter in \(0<H<\frac{1}{2}\), and Poisson jumps ⋮ An analysis on approximate controllability results for impulsive fractional differential equations of order 1 < r < 2 with infinite delay using sequence method ⋮ Approximate controllability and optimal controls of fractional dynamical systems of order \(1< q<2\) in Banach spaces

Cites Work

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• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Semigroups of linear operators and applications to partial differential equations
• On the new concept of solutions and existence results for impulsive fractional evolution equations
• Relaxed controls for nonlinear fractional impulsive evolution equations
• Existence and uniqueness of mild solution for an impulsive neutral fractional integro-differential equation with infinite delay

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