On a boundary problem for a nonlocal poisson equation with boundary operators of the hadamard type
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In this paper the solvability problems of some boundary value problems for a nonlocal Poisson equation are studied. A non-local Poisson equation is represented by using some orthogonal matrix. The properties and examples of such matrices are given. In the current boundary value problem, which being considered in the paper, the fractional order differentiation operators are used as boundary operators. These operators are defined as derivatives of the Hadamard-Caputo type. Note that in particular cases of the parameters of the boundary conditions we obtain well known conditions of the Dirichlet, Neumann, and Robin type problems [1]. For the problems under consideration, theorems on the existence and uniqueness of solutions are proved. The exact solvability conditions for the problem under study are found. In addition, we obtained representation for the solution of the fractional boundary problem for Poisson equation.
Açıklama
Anahtar Kelimeler
Boundary value problems, Fractional derivatives, Existence and uniqueness, Nonlocal equation, Poisson equation
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Turmetov, B. ve Shamsiev, R. (2019). On a boundary problem for a nonlocal poisson equation with boundary operators of the hadamard type. International Conference of Mathematical Sciences (ICMS 2019). s. 123.
