Integral transform technique for coupled hybrid systems of multi-term quadratic fractional boundary value problems

2016 ◽  
Vol 4 ◽  
pp. 679-695
Author(s):  
Bhausaheb R. Sontakke ◽  
Govind P. Kamble
Keyword(s):  
Boundary Value Problems ◽  
Hybrid Systems ◽  
Integral Transform ◽  
Boundary Value ◽  
Fractional Boundary Value Problems ◽  
Integral Transform Technique

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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