Two-Dimensional Poroelastic Problem for Saturated Soil Under Fractional Order Theory of Thermoelasticity

2022 ◽  
Author(s):  
Ying Guo ◽  
Chunbao Xiong ◽  
Jianjun Ma ◽  
Da Li ◽  
Chaosheng Wang
Keyword(s):  
Fractional Order ◽  
Order Theory ◽  
Saturated Soil ◽  
Two Dimensional

scholarly journals Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions

2020 ◽  
Vol 23 (2) ◽  
pp. 378-389
Author(s):  
Ferenc Izsák ◽  
Gábor Maros
Keyword(s):  
Fractional Order ◽  
Boundary Data ◽  
Dirichlet Boundary ◽  
Elliptic Problems ◽  
Integral Form ◽  
Uniqueness Result ◽  
Boundary Integral ◽  
Dirichlet Boundary Conditions ◽  
Two Dimensional ◽  
Potential Operators

AbstractFractional-order elliptic problems are investigated in case of inhomogeneous Dirichlet boundary data. The boundary integral form is proposed as a suitable mathematical model. The corresponding theory is completed by sharpening the mapping properties of the corresponding potential operators. The existence-uniqueness result is stated also for two-dimensional domains. Finally, a mild condition is provided to ensure the existence of the classical solution of the boundary integral equation.

scholarly journals Fractional order theory of thermoelasticity

2010 ◽  
Vol 47 (2) ◽  
pp. 269-275 ◽  
Author(s):  
Hany H. Sherief ◽  
A.M.A. El-Sayed ◽  
A.M. Abd El-Latief
Keyword(s):  
Fractional Order ◽  
Order Theory
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