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248  Mathematical Techniques of Fractional Order Systems


            Filippov, A.F., 1988. Differential Equations With Discontinuous Righthand Sides: Control
               Systems. Springer Science & Business Media, United States.
            Gorniewicz, L., 1999. Topological Fixed Point Theory of Multivalued Mappings. Kluwer
               Academic Publishers, Dordrecht.
            Hu, S., Papageorgiou, N., 1997. Handbook of Multivalued Analysis, Volume I: Theory. Kluwer
               Academic Press, United States.
            Hu, S., Papageorgiou, N.S., 2013. Handbook of Multivalued Analysis: Volume II: Applications.
               Springer Science & Business Media, Dordrecht.
            Kexue, J., Jigen, P., 2011. Laplace Transform and fractional differential equations. Appl. Math.
               Lett. 24 (12), 2019 2023.
            Kilbas, A.A., Srivastava, H.M., Trujillo, J.J., 2006. Theory and Applications of Fractional
               Differential Equations. Elsevier Science Limited, Amsterdam.
            Kisielewicz, M., 1991. Differential Inclusions and Optimal Control. Kluwer Academic
               Publishers, Dordrecht.
            Kree, P., 1982. Diffusion equation for multivalued stochastic differential equations. J. Funct.
               Anal. 49 (1), 73 90.
            Lasota, A., Opial, Z., 1965. An application of Kakutani-Ky Fan theorem in the theory of ordi-
               nary differential equation. Bulletin De L Academie Polonaise Des Sciences-Serie Des
               Sciences Mathmatiques Astronomiques Et Physiques 13 (11), 781 786.
            Mahmudov, N.I., 2003. Approximate controllability of semilinear deterministic and stochastic
               evolution equations in abstract spaces. SIAM J. Control Optim. 42 (5), 1604 1622.
            Mahmudov, N.I., Denker, A., 2000. On controllability of linear stochastic systems. Int. J.
               Control 73 (2), 144 151.
            Miller, K.S., Ross, B., 1993. An Introduction to the Fractional Calculus and Fractional
               Differential Equations. Wiley, New York.
            Oldham, K., Spanier, J., 1974. The Fractional Calculus: Theory and Applications of
               Differentiation and Integration to Arbitrary Order. Academic press, New York.
            Podlubny, I., 1998. Fractional Differential Equations: An Introduction to Fractional Derivatives,
               Fractional Differential Equations, to Methods of Their Solution and Some of Their
               Applications. Academic press, California.
            Sabatier, J., Agrawal, O.P., Tenreiro Machado, J.A., 2007. Advances in Fractional Calculus.
               Springer, Dordrecht.
            Sakthivel, R., Ganesh, R., Anthoni, S.M., 2013. Approximate controllability of fractional nonlin-
               ear differential inclusions. Appl. Math. Comput. 225, 708 717.
            Samko, S.G., Kilbas, A.A., Maricev, I., 1993. Fractional Integrals and Derivatives; Theory and
               Applications. Gordon and Breach Science Publisher, Amsterdam.
            Sathiyaraj, T., Balasubramaniam, P., 2016. Controllability of fractional order stochastic differen-
               tial inclusions with fractional Brownian motion in finite dimensional space. IEEE/CAA J.
               Automatica Sinica 3 (4), 400 410.
            Wang, J.R., Zhou, Y., 2011. Existence and controllability results for fractional semilinear differ-
               ential inclusions. Nonlinear Anal. Real World Applicat. 12 (6), 3642 3653.
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