Nonlocal Conditions for Semi-linear Fractional Differential Equations with Hilfer Derivative

2019 ◽  
pp. 69-83
Author(s):  
Benaouda Hedia
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Nonlocal Conditions ◽  
Fractional Differential ◽  
Linear Fractional Differential Equations

Systems of Nonlinear Fractional Differential Equations

2015 ◽  
Vol 18 (1) ◽  
Author(s):  
Tadeusz Jankowski
Keyword(s):  
Differential Equations ◽  
Iterative Method ◽  
Unique Solution ◽  
Fractional Differential Equations ◽  
Fractional Derivatives ◽  
Nonlinear Fractional Differential Equations ◽  
Fractional Differential ◽  
The Right ◽  
Linear Fractional Differential Equations

AbstractUsing the iterative method, this paper investigates the existence of a unique solution to systems of nonlinear fractional differential equations, which involve the right-handed Riemann-Liouville fractional derivatives $D^{q}_{T}x$ and $D^{q}_{T}y$. Systems of linear fractional differential equations are also discussed. Two examples are added to illustrate the results.

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