Vityuk, A. N.; Mikhailenko, A. V. Existence of solutions of the boundary-value problem for a nonlinear differential equation of fractional order. (English. Ukrainian original) Zbl 1419.34039 J. Math. Sci., New York 223, No. 3, 210-222 (2017); translation from Neliniĭni Kolyvannya 19, No. 2, 161-172 (2016). MSC: 34A08 26A33 PDFBibTeX XMLCite \textit{A. N. Vityuk} and \textit{A. V. Mikhailenko}, J. Math. Sci., New York 223, No. 3, 210--222 (2017; Zbl 1419.34039); translation from Neliniĭni Kolyvannya 19, No. 2, 161--172 (2016) Full Text: DOI
Abbas, Saïd; Benchohra, Mouffak; Vityuk, Aleksandr N. On fractional order derivatives and Darboux problem for implicit differential equations. (English) Zbl 1302.35395 Fract. Calc. Appl. Anal. 15, No. 2, 168-182 (2012). MSC: 35R11 PDFBibTeX XMLCite \textit{S. Abbas} et al., Fract. Calc. Appl. Anal. 15, No. 2, 168--182 (2012; Zbl 1302.35395) Full Text: DOI
Vityuk, A. N.; Golushkov, A. V. The Darboux problem for differential equation containing fractional derivative. (Russian) Zbl 1111.35146 Nelinijni Kolyvannya 8, No. 4, 456-467 (2005). Reviewer: V. M. Musaev (Baku) MSC: 35S15 26A33 PDFBibTeX XMLCite \textit{A. N. Vityuk} and \textit{A. V. Golushkov}, Neliniĭni Kolyvannya 8, No. 4, 456--467 (2005; Zbl 1111.35146) Full Text: DOI
Vityuk, A. N. Fractional differentiation of many-valued mappings. (Russian. English summary) Zbl 1037.26006 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 10, 75-79 (2003). MSC: 26A33 26E25 PDFBibTeX XMLCite \textit{A. N. Vityuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 10, 75--79 (2003; Zbl 1037.26006)
Vityuk, A. N. Partial averaging for generalized differential equations with partial derivatives of fractional order. (English. Russian original) Zbl 0893.35143 Differ. Equations 32, No. 8, 1135-1138 (1996); translation from Differ. Uravn. 32, No. 8, 1131-1133 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 35R70 PDFBibTeX XMLCite \textit{A. N. Vityuk}, Differ. Equations 32, No. 8, 1135--1138 (1996; Zbl 0893.35143); translation from Differ. Uravn. 32, No. 8, 1131--1133 (1996)