A High-Order Algorithm for Time-Caputo-Tempered Partial Differential Equation with Riesz Derivatives in Two Spatial Dimensions

2019 ◽  
Vol 80 (1) ◽  
pp. 81-109 ◽  
Author(s):  
Hengfei Ding ◽  
Changpin Li
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
High Order ◽  
Partial Differential ◽  
Spatial Dimensions ◽  
Order Algorithm

scholarly journals Mixed problem with integral boundary condition for a high order mixed type partial differential equation

2003 ◽  
Vol 16 (1) ◽  
pp. 69-79 ◽  
Author(s):  
M. Denche ◽  
A. L. Marhoune
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Mixed Problem ◽  
Mixed Type ◽  
Energy Inequality ◽  
Integral Boundary Conditions ◽  
High Order ◽  
Order Partial Differential Equation ◽  
Partial Differential ◽  
Integral Boundary

In this paper, we study a mixed problem with integral boundary conditions for a high order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on energy inequality, and on the density of the range of the operator generated by the considered problem.

Integral Problem for a Partial Differential Equation of High Order in an Infinite Strip

2018 ◽  
Vol 231 (4) ◽  
pp. 495-506 ◽  
Author(s):  
P. І. Kalenyuk ◽  
Z. М. Nytrebych ◽  
G. Kuduk ◽  
М. М. Symotyuk
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
High Order ◽  
Infinite Strip ◽  
Partial Differential ◽  
Integral Problem
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