scholarly journals Nonlinear Langevin equations and inclusions involving mixed fractional order derivatives and variable coefficient with fractional nonlocal-terminal conditions

2019 ◽  
Vol 4 (3) ◽  
pp. 626-647 ◽  
Author(s):  
Bashir Ahmad ◽  
◽  
Ahmed Alsaedi ◽  
Sotiris K. Ntouyas ◽  
Keyword(s):  
Fractional Order ◽  
Variable Coefficient ◽  
Langevin Equations ◽  
Nonlinear Langevin Equations

scholarly journals Variable coefficient fractional-order PID controller and its application to a SEPIC device

2020 ◽  
Vol 14 (6) ◽  
pp. 900-908 ◽  
Author(s):  
Liping Chen ◽  
Gang Chen ◽  
Ranchao Wu ◽  
António M. Lopes ◽  
José António Tenreiro Machado ◽  
...  
Keyword(s):  
Fractional Order ◽  
Pid Controller ◽  
Variable Coefficient ◽  
Fractional Order Pid ◽  
Fractional Order Pid Controller

scholarly journals Nonlocal boundary value problems for ψ-Hilfer fractional-order Langevin equations

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Cholticha Nuchpong ◽  
Sotiris K. Ntouyas ◽  
Devaraj Vivek ◽  
Jessada Tariboon
Keyword(s):  
Fractional Order ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Integral Boundary Conditions ◽  
Langevin Equations ◽  
Integral Boundary ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results

AbstractIn the paper, we study a boundary value problem for a class of ψ-Hilfer fractional-order Langevin equations with multi-point integral boundary conditions. Existence and uniqueness results are established by using well-known fixed point theorems. Examples illustrating the main results are also included.

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