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Optimal control for a class of fractional order neutral evolution equations

  • He Yang ORCID logo EMAIL logo and Jihong Wang
Published/Copyright: August 9, 2022
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International Journal of Nonlinear Sciences and Numerical Simulation
From the journal International Journal of Nonlinear Sciences and Numerical Simulation Volume 24 Issue 4

Abstract

The optimal control, for a class of nonlinear neutral evolution equations involving Riemann–Liouville fractional derivative, is investigated in this paper by using Darbo–Sadovskii fixed point theorem. An example is given in the last section to illustrate the validity of the abstract conclusions.

Keywords: fixed point theorem; fractional evolution equations; fractional resolvent family; optimal control pair; the measure of non-compactness
Mathematics Subject Classification (2010): 35R11; 49J20
Corresponding author: He Yang, College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu 730070, People’s Republic of China, E-mail:

Funding source: The National Natural Science Function of China

Award Identifier / Grant number: 11701457

  1. Author contribution: H. Yang designed the research, H. Yang and J. H. Wang wrote the main manuscript. All authors read and approved the final manuscript.

  2. Research funding: The research is supported by the National Natural Science Function of China (No. 11701457).

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2021-10-31
Revised: 2022-06-25
Accepted: 2022-07-14
Published Online: 2022-08-09

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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https://doi.org/10.1515/ijnsns-2021-0410
Keywords for this article
fixed point theorem; fractional evolution equations; fractional resolvent family; optimal control pair; the measure of non-compactness

Articles in the same Issue

  1. Frontmatter
  2. Original Research Articles
  3. Image-based 3D reconstruction precision using a camera mounted on a robot arm
  4. Switched-line network with digital phase shifter
  5. M-lump waves and their interactions with multi-soliton solutions for the (3 + 1)-dimensional Jimbo–Miwa equation
  6. Optimal control for a class of fractional order neutral evolution equations
  7. Perceptual evaluation for Zhangpu paper-cut patterns by using improved GWO-BP neural network
  8. Two new iterative schemes to approximate the fixed points for mappings
  9. Ulam’s type stability of impulsive delay integrodifferential equations in Banach spaces
  10. Generalization method of generating the continuous nested distributions
  11. Wellposedness of impulsive functional abstract second-order differential equations with state-dependent delay
  12. Numerical study of heat and mass transfer on the pulsatile flow of blood under atherosclerotic condition
  13. Dynamic propagation behaviors of pure mode I crack under stress wave loading by caustics
  14. Numerical simulation of buoyancy-induced heat transfer and entropy generation in 3D C-shaped cavity filled with CNT–Al2O3/water hybrid nanofluid
  15. On coupled system of nonlinear Ψ-Hilfer hybrid fractional differential equations
  16. Hellinger–Reissner variational principle for a class of specified stress problems
  17. Viscous dissipation effect on steady natural convection Couette flow with convective boundary condition
  18. Fredholm determinants and Z n -mKdV/Z n -sinh-Gordon hierarchies
  19. New soliton waves and modulation instability analysis for a metamaterials model via the integration schemes
  20. A modified high-order symmetrical WENO scheme for hyperbolic conservation laws
  21. Cryptanalysis of various images based on neural networks with leakage and time varying delays
  22. Spectral collocation method approach to thermal stability of MHD reactive squeezed fluid flow through a channel
  23. Higher order Traub–Steffensen type methods and their convergence analysis in Banach spaces
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