Weak Solutions to a System of Nonlinear Fractional Boundary Value Problems Via Variational Form

2019 ◽  
Vol 43 (2) ◽  
pp. 1585-1601 ◽  
Author(s):  
H. Goudarzi ◽  
E. Shivanian ◽  
S. J. Hosseini Ghoncheh
Keyword(s):  
Boundary Value Problems ◽  
Weak Solutions ◽  
Boundary Value ◽  
Variational Form ◽  
Fractional Boundary Value Problems

scholarly journals A New Proof of the Existence of Nonzero Weak Solutions of Impulsive Fractional Boundary Value Problems

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 856
Author(s):  
Asma Alharbi ◽  
Rafik Guefaifia ◽  
Salah Boulaaras
Keyword(s):  
Boundary Value Problems ◽  
Weak Solutions ◽  
Boundary Value ◽  
Linking Theorem ◽  
New Class ◽  
Fractional Boundary Value Problems

The paper deals with the existence of at least two non zero weak solutions to a new class of impulsive fractional boundary value problems via Brezis and Nirenberg’s Linking Theorem. Finally, an example is presented to illustrate our results.

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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