Stability of fractional optimal control problems with parameters in the objective function

DOI10.2298/FIL2001211YOpenAlexW3043875688MaRDI QIDQ5865592

Mohamed Emad Abdelraouf, N. A. El-Kholy, E. Youness, Mohamed H. Eid

Publication date: 9 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2001211y

zbMATH Keywords

fractional calculusoptimal control problemssolvability setstability set of the first and second kinds

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40)

Cites Work

• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Formulation of Euler-Lagrange equations for fractional variational problems
• A general formulation and solution scheme for fractional optimal control problems
• A Formulation and Numerical Scheme for Fractional Optimal Control Problems
• Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions
• General formulation for the numerical solution of optimal control problems
• Application of Residual Power Series Method for the Solution of Time-fractional Schrödinger Equations in One-dimensional Space
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