Dhage iterative principle for quadratic perturbation of fractional boundary value problems with finite delay

2019 ◽  
Vol 42 (12) ◽  
pp. 4244-4255 ◽  
Author(s):  
Vidushi Gupta ◽  
Swaroop Nandan Bora ◽  
Juan J. Nieto
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Finite Delay ◽  
Quadratic Perturbation ◽  
Fractional Boundary Value Problems

scholarly journals Existence and uniqueness criteria for the higher-order Hilfer fractional boundary value problems at resonance

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Yousef Gholami
Keyword(s):  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Higher Order ◽  
Coupled Systems ◽  
At Resonance ◽  
Uniqueness Criteria ◽  
Fractional Boundary Value Problems

Abstract This investigation is devoted to the study of a certain class of coupled systems of higher-order Hilfer fractional boundary value problems at resonance. Combining the coincidence degree theory with the Lipschitz-type continuity conditions on nonlinearities, we present some existence and uniqueness criteria. Finally, to practically implement the obtained theoretical criteria, we give an illustrative application.

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