01.01.02 (Differential equations, dynamical systems, and optimal control)
Keywords:
boundary value problem, generalized operator of fractional integro-differentiation, Gauss hypergeometric function, differential equation of fractional order
A. A. Abashkin, I. P. Egorova, “Dirichlet problem in parallelepiped for elliptic equation with three singular coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 10, 3–14; Russian Math. (Iz. VUZ), 63:10 (2019), 1–12
2.
K. B. Sabitov, I. P. Egorova, “On the correctness of boundary value problems for the mixed type equation of the second kind”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:3 (2019), 430–451
A. V. Tarasenko, I. P. Egorova, “On nonlocal problem with fractional Riemann–Liouville derivatives
for a mixed-type equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:1 (2017), 112–121
A. V. Tarasenko, I. P. Egorova, “On the solvability of nonlocal problem with generalized operators M. Saigo for Bitsadze–Lykov equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(37) (2014), 33–41
I. P. Egorova, “The problem with periodicity conditions for the equations of mixed type with characteristic degeneracy”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 8(74), 15–27
I. P. Egorova, N. A. Kulikova, “Краевая задача для уравнения смешанного типа с условием сопряжения, содержащим производные и интегралы дробного порядка”, Matem. Mod. Kraev. Zadachi, 3 (2007), 82–83
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