Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives

2019 ◽  
Vol 135 ◽  
pp. 367-380 ◽  
Author(s):  
Yongtao Zhou ◽  
Chengjian Zhang
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Boundary Value ◽  
Boundary Value Methods ◽  
Block Boundary ◽  
Nonlinear Fractional Differential Equations ◽  
Caputo Derivatives ◽  
Convergence And Stability ◽  
Fractional Differential

scholarly journals Implicit nonlinear fractional differential equations of variable order

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Amar Benkerrouche ◽  
Mohammed Said Souid ◽  
Kanokwan Sitthithakerngkiet ◽  
Ali Hakem
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Differential Equations ◽  
Boundary Value ◽  
Variable Order ◽  
Stability Of Solutions ◽  
Nonlinear Fractional Differential Equations ◽  
Caputo Fractional Differential Equations ◽  
Fractional Differential ◽  
The Stability

AbstractIn this manuscript, we examine both the existence and the stability of solutions to the implicit boundary value problem of Caputo fractional differential equations of variable order. We construct an example to illustrate the validity of the observed results.

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