On the Solvability of One Boundary Value Problem for a Class of Higher-Order Nonlinear Partial Differential Equations

2021 ◽  
Vol 18 (4) ◽  
Author(s):  
S. Kharibegashvili ◽  
B. Midodashvili
2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Djumaklych Amanov ◽  
Allaberen Ashyralyev

The initial-boundary value problem for partial differential equations of higher-order involving the Caputo fractional derivative is studied. Theorems on existence and uniqueness of a solution and its continuous dependence on the initial data and on the right-hand side of the equation are established.


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