scholarly journals SOLVABILITY FOR A COUPLED SYSTEM OF PERTURBED IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS WITH PERIODIC AND ANTI-PERIODIC BOUNDARY CONDITIONS

2020 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Wei Zhang ◽  
◽  
Jinbo Ni ◽  
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Fractional Differential Equations ◽  
Periodic Boundary ◽  
Coupled System ◽  
Periodic Boundary Conditions ◽  
Fractional Differential ◽  
Implicit Fractional Differential Equations

scholarly journals Fractional differential equations with nonlocal (parametric type) anti-periodic boundary conditions

Filomat ◽  
2017 ◽  
Vol 31 (5) ◽  
pp. 1207-1214 ◽  
Author(s):  
Ravi Agarwal ◽  
Bashir Ahmad ◽  
Juan Nieto
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Fractional Differential Equations ◽  
Periodic Boundary ◽  
Periodic Boundary Conditions ◽  
Intermediate Point ◽  
Fractional Differential ◽  
Fixed End ◽  
The Given ◽  
Sequential Fractional Differential Equations

In this paper, we introduce a new concept of nonlocal anti-periodic boundary conditions and solve fractional and sequential fractional differential equations supplemented with these conditions. The anti-periodic boundary conditions involve a nonlocal intermediate point together with one of the fixed end points of the interval under consideration, and accounts for a flexible situation concerning anti-periodic phenomena. The existence results for the given problems are obtained with the aid of standard fixed point theorems. Some examples illustrating the main results are also discussed. The paper concludes with several interesting observations.

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