Zobrazeno 1 - 10
of 404
pro vyhledávání: '"integral conditions"'
Autor:
Nishi Gupta, Md. Maqbul
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 45, Iss 3-4, Pp 201-227 (2024)
This manuscript deals with a hyperbolic partial differential equation with fractional differential and fractional integral forcing functions. Semidiscretization method is used to establish a unique strong solution and also approximate solutions. Erro
Externí odkaz:
https://doaj.org/article/ed18a5e030bd46ab986211c2c0dee9c4
Publikováno v:
Alexandria Engineering Journal, Vol 87, Iss , Pp 501-514 (2024)
The primary objective of this research study is to analyze a boundary problem involving Caputo fractional integro-differential equations. The focus is on a differential equation with a nonlinear right-hand side composed of two terms. The stability an
Externí odkaz:
https://doaj.org/article/4b5d86f8da2541fe84cf8dec0574bea6
Autor:
K.R. Aida-zade, V.M. Abdullayev
Publikováno v:
Қарағанды университетінің хабаршысы. Математика сериясы, Vol 113, Iss 1 (2024)
We investigate a system of linear ordinary differential equations containing point and integral loadings with nonlocal boundary conditions. Boundary conditions include integral and point values of the unknown function. An essential feature of the pro
Externí odkaz:
https://doaj.org/article/80ae6e5f02d543a985f6be35e879f859
Autor:
Hacene Mecheri, Maryam G. Alshehri
Publikováno v:
AIMS Mathematics, Vol 7, Iss 1, Pp 765-774 (2023)
The energy inequality method (or a priori estimation) known in classical cases has been adopted for fractional evolution equations associated with initial conditions and boundary integral conditions. We prove the existence and uniqueness of the solut
Externí odkaz:
https://doaj.org/article/61e283e541ef4eba88773ac28361e90b
Publikováno v:
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 26, Iss 2, Pp 380-395 (2022)
In present paper, we consider a problem with nonlocal conditions for parabolic equation and show that there exists a unique weak solution in Sobolev space. The main tool to prove the existence of a unique weak solution to the problem is a priori esti
Externí odkaz:
https://doaj.org/article/4bfa0f3780bf484380dd1d43214bda1f
Publikováno v:
AIMS Mathematics, Vol 7, Iss 6, Pp 11150-11164 (2022)
The existence of solutions for a Sturm-Liouville boundary value problem of a nonlinear differential inclusion with nonlocal integral condition is studied. The maximal and minimal solutions will be studied. The existence of multiple solutions of the n
Externí odkaz:
https://doaj.org/article/5bc9691608a24545adccbe7872c54d30
Publikováno v:
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 25, Iss 3, Pp 423-434 (2021)
In this paper, we study the solvability of some non-local analogs of the second initial-boundary value problem for multidimensional hyperbolic and parabolic equations of the second order. We prove the existence and uniqueness theorems of regular solu
Externí odkaz:
https://doaj.org/article/969fa34978114bedbd93ca2e5d3dcc78
Autor:
Aggoun Karim, Merad Ahcene
Publikováno v:
Moroccan Journal of Pure and Applied Analysis, Vol 7, Iss 3, Pp 400-412 (2021)
The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of integration is demonstrated and applied to establish the a priori estimate of the solution,
Externí odkaz:
https://doaj.org/article/82cd2b559f164d5e9a7fe46ff2271173
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-21 (2021)
Abstract In this paper, we consider two classes of boundary value problems for nonlinear implicit differential equations with nonlinear integral conditions involving Atangana–Baleanu–Caputo fractional derivatives of orders 0 < ϑ ≤ 1 $0
Externí odkaz:
https://doaj.org/article/51d5810f9789462aab4f9ef83d94a81b
Publikováno v:
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 24, Iss 4, Pp 607-620 (2020)
The paper is devoted to the study of the solvability of nonlocal problems with an integral variable $t$ condition for the equations $$u_{tt}+(\alpha\frac{\partial}{\partial t}+\beta)\Delta u=f(x,t)$$($\alpha$, $\beta$ are valid constants, $\Delta$ is
Externí odkaz:
https://doaj.org/article/1d7d1d4ba4074f2aad8ff905bba28b35