[1] M. Acutis, On the quadratic optimal control problem for Volterra integro-differential Equations,
Rend. Semin. Mat. Univ. Padova 73 (1985) 231–247.
[2] B. Andrade, On the well-posedness of a Volterra equation with applications in the Navier-Stokes
problem, Math. Methods Appl. Sci. 41 (2018) 750–768.
[3] T.S. Angell, On the optimal control of systems governed by nonlinear Volterra equations, J. Optim.
Theory Appl. 19 (1976) 29–45.
[4] S.A.Belbas, A reduction method for optimal control of Volterra integral equations, Appl. Math.
Comput. 197 (2008) 880–890.
[5] M. Dehghan, F. Shakeri, Solution of an integro-differential equation arising in oscillating magnetic
fields using Hes homotopy perturbation method, Prog. Electromagn. Res. 78 (2008) 361–376.
[6] A.V. Dmitruk, N.P. Osmolovskii, Necessary conditions for a weak minimum in optimal control
problems with integral equations subject to state and mixed constraints, SIAM J. Control Optim.
52 (2014) 3437–3462.
[7] M.I. Kamien, E. Muller, Optimal control with integral state equations, Rev. Econ. Stud. 43 (1976)
469–473.
[8] D. Liberzon, Calculus of Variations and Optimal Control Theory: A Concise Introduction, Prince-
ton University Press, 2012.
[9] D.G. Luenberger, Optimization by Vector Vpace Methods, New York: Wiley, 1969.
[10] K. Maleknejad, H. Almasieh, Optimal control of Volterra integral equations via triangular func-
tions, Math. Comput. Model. 53 (2011) 1902–1909.
[11] L. Pandolfi, The quadratic regulator problem and the Riccati equation for a process governed by a
linear Volterra integrodifferential equation IEEE Tans. Autom. Control 63 (2018) 1517–1522.
[12] S. RosAloniec, Fundamental Numerical Methods for Electrical Engineering, Springer Publishing
Company, Incorporated, 2008.
[13] M. Shehata, Computing Exact Solution for Linear Integral Quadratic Control Problem, Egy. J. Pure
Appl. Sci. 62 (2023) 33–42.
[14] M. Shehata. From calculus to α− calculus, Progr. Fract. Differ. Appl, Accepted for publication in
10 (2024). https://www.naturalspublishing.com/FC.asp?JorID=48.
[15] E.W. Sachs, A.K. Strauss, Efficient solution of a partial integro-differential equation in finance,
Appl. Numer. Math. 58 (2008) 1687–1703.
[16] C. Vega, Necessary conditions for optimal terminal time control problems governed by a Volterra
integral equation, J. Optim. Theory Appl. 130 (2006) 79–93.
[17] V. Vijayakumar, Approximate controllability results for analytic resolvent integro-diffrential inclu-
sions in Hilbert spaces, Int. J. Control 91 (2018) 204–214.
[18] G. Zheng, B. Ma, A time optimal control problem of some linear switching controlled ordinary
differential, Adv. Differ. Equ. 2012 (2012) 52.