Kamocki, Rafał Pontryagin’s maximum principle for a fractional integro-differential Lagrange problem. (English) Zbl 07784255 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107598, 16 p. (2024). Reviewer: Alain Brillard (Riedisheim) MSC: 49K15 35R11 26A33 34K37 45J05 65M70 65T60 PDFBibTeX XMLCite \textit{R. Kamocki}, Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107598, 16 p. (2024; Zbl 07784255) Full Text: DOI
Kamocki, Rafał Existence of optimal control for multi-order fractional optimal control problems. (English) Zbl 1507.49016 Arch. Control Sci. 32, No. 2, 279-303 (2022). Reviewer: Sorin-Mihai Grad (Paris) MSC: 49K10 PDFBibTeX XMLCite \textit{R. Kamocki}, Arch. Control Sci. 32, No. 2, 279--303 (2022; Zbl 1507.49016) Full Text: DOI
Kamocki, Rafał On generalized fractional integration by parts formulas and their applications to boundary value problems. (English) Zbl 1487.26010 Georgian Math. J. 28, No. 1, 99-108 (2021). Reviewer: Renu Chaudhary (Sohna) MSC: 26A33 34A08 34B05 PDFBibTeX XMLCite \textit{R. Kamocki}, Georgian Math. J. 28, No. 1, 99--108 (2021; Zbl 1487.26010) Full Text: DOI
Almeida, Ricardo; Kamocki, Rafał; Malinowska, Agnieszka B.; Odzijewicz, Tatiana On the necessary optimality conditions for the fractional Cucker-Smale optimal control problem. (English) Zbl 1459.49011 Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105678, 23 p. (2021). MSC: 49K15 93A16 93C15 PDFBibTeX XMLCite \textit{R. Almeida} et al., Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105678, 23 p. (2021; Zbl 1459.49011) Full Text: DOI
Almeida, Ricardo; Kamocki, Rafał; Malinowska, Agnieszka B.; Odzijewicz, Tatiana Optimal leader-following consensus of fractional opinion formation models. (English) Zbl 1447.49040 J. Comput. Appl. Math. 381, Article ID 112996, 15 p. (2021). MSC: 49K21 35R11 PDFBibTeX XMLCite \textit{R. Almeida} et al., J. Comput. Appl. Math. 381, Article ID 112996, 15 p. (2021; Zbl 1447.49040) Full Text: DOI
Almeida, Ricardo; Kamocki, Rafał; Malinowska, Agnieszka B.; Odzijewicz, Tatiana On the existence of optimal consensus control for the fractional Cucker-Smale model. (English) Zbl 1457.93073 Arch. Control Sci. 30, No. 4, 625-651 (2020). MSC: 93D50 93A16 93C15 26A33 PDFBibTeX XMLCite \textit{R. Almeida} et al., Arch. Control Sci. 30, No. 4, 625--651 (2020; Zbl 1457.93073) Full Text: DOI
Idczak, Dariusz; Kamocki, Rafał; Majewski, Marek Nonlinear continuous Fornasini-Marchesini model of fractional order with nonzero initial conditions. (English) Zbl 1448.35547 J. Integral Equations Appl. 32, No. 1, 19-34 (2020). MSC: 35R11 35A01 35A02 PDFBibTeX XMLCite \textit{D. Idczak} et al., J. Integral Equations Appl. 32, No. 1, 19--34 (2020; Zbl 1448.35547) Full Text: DOI Euclid
Kamocki, Rafał A nonlinear control system with a Hilfer derivative and its optimization. (English) Zbl 1416.26010 Nonlinear Anal., Model. Control 24, No. 2, 279-296 (2019). MSC: 26A33 49J21 PDFBibTeX XMLCite \textit{R. Kamocki}, Nonlinear Anal., Model. Control 24, No. 2, 279--296 (2019; Zbl 1416.26010) Full Text: DOI
Idczak, Dariusz; Kamocki, Rafał Existence of optimal solutions to Lagrange problem for a fractional nonlinear control system with Riemann-Liouville derivative. (English) Zbl 1367.26019 Math. Control Relat. Fields 7, No. 3, 449-464 (2017). MSC: 26A33 49J15 PDFBibTeX XMLCite \textit{D. Idczak} and \textit{R. Kamocki}, Math. Control Relat. Fields 7, No. 3, 449--464 (2017; Zbl 1367.26019) Full Text: DOI
Kamocki, Rafał A new representation formula for the Hilfer fractional derivative and its application. (English) Zbl 1345.26013 J. Comput. Appl. Math. 308, 39-45 (2016). MSC: 26A33 26A46 PDFBibTeX XMLCite \textit{R. Kamocki}, J. Comput. Appl. Math. 308, 39--45 (2016; Zbl 1345.26013) Full Text: DOI
Idczak, Dariusz; Kamocki, Rafał; Majewski, Marek; Walczak, Stanisław Existence of optimal solutions to Lagrange problems for Roesser type systems of the first and fractional orders. (English) Zbl 1410.49002 Appl. Math. Comput. 266, 809-819 (2015). MSC: 49J15 PDFBibTeX XMLCite \textit{D. Idczak} et al., Appl. Math. Comput. 266, 809--819 (2015; Zbl 1410.49002) Full Text: DOI
Kamocki, Rafał Variational methods for a fractional Dirichlet problem involving Jumarie’s derivative. (English) Zbl 1394.34050 Math. Probl. Eng. 2015, Article ID 248517, 9 p. (2015). MSC: 34B15 34A08 PDFBibTeX XMLCite \textit{R. Kamocki}, Math. Probl. Eng. 2015, Article ID 248517, 9 p. (2015; Zbl 1394.34050) Full Text: DOI
Idczak, Dariusz; Kamocki, Rafał Fractional differential repetitive processes with Riemann-Liouville and Caputo derivatives. (English) Zbl 1348.93146 Multidimensional Syst. Signal Process. 26, No. 1, 193-206 (2015). MSC: 93C15 34A08 93C10 93B05 93B03 PDFBibTeX XMLCite \textit{D. Idczak} and \textit{R. Kamocki}, Multidimensional Syst. Signal Process. 26, No. 1, 193--206 (2015; Zbl 1348.93146) Full Text: DOI
Kamocki, Rafał On the existence of optimal solutions to fractional optimal control problems. (English) Zbl 1334.49010 Appl. Math. Comput. 235, 94-104 (2014). MSC: 49J21 35R11 PDFBibTeX XMLCite \textit{R. Kamocki}, Appl. Math. Comput. 235, 94--104 (2014; Zbl 1334.49010) Full Text: DOI
Kamocki, Rafal Pontryagin maximum principle for fractional ordinary optimal control problems. (English) Zbl 1298.26023 Math. Methods Appl. Sci. 37, No. 11, 1668-1686 (2014). MSC: 26A33 49K15 49J15 PDFBibTeX XMLCite \textit{R. Kamocki}, Math. Methods Appl. Sci. 37, No. 11, 1668--1686 (2014; Zbl 1298.26023) Full Text: DOI
Kamocki, Rafał; Obczyński, Cezary On fractional differential inclusions with the Jumarie derivative. (English) Zbl 1293.26010 J. Math. Phys. 55, No. 2, 022902, 10 p. (2014). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A33 35R11 PDFBibTeX XMLCite \textit{R. Kamocki} and \textit{C. Obczyński}, J. Math. Phys. 55, No. 2, 022902, 10 p. (2014; Zbl 1293.26010) Full Text: DOI
Idczak, Dariusz; Kamocki, Rafal On the existence and uniqueness and formula for the solution of R-L fractional Cauchy problem in \(\mathbb R^n\). (English) Zbl 1273.34010 Fract. Calc. Appl. Anal. 14, No. 4, 538-553 (2011). MSC: 34A08 PDFBibTeX XMLCite \textit{D. Idczak} and \textit{R. Kamocki}, Fract. Calc. Appl. Anal. 14, No. 4, 538--553 (2011; Zbl 1273.34010) Full Text: DOI