Positive solutions for integral nonlinear boundary value problem in fractional Sobolev spaces

2021 ◽  
Author(s):  
Bouchra Azzaoui ◽  
Brahim Tellab ◽  
Khaled Zennir
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Sobolev Spaces ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Nonlinear Boundary Value Problem ◽  
Fractional Sobolev Spaces ◽  
Nonlinear Boundary Value

scholarly journals Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional Difference

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Yansheng He ◽  
Mingzhe Sun ◽  
Chengmin Hou
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Nonlinear Boundary Value Problem ◽  
Multiple Positive Solutions ◽  
Order Difference ◽  
Nonlinear Boundary Value ◽  
Order Difference Equation

We consider a discrete fractional nonlinear boundary value problem in which nonlinear termfis involved with the fractional order difference. And we transform the fractional boundary value problem into boundary value problem of integer order difference equation. By using a generalization of Leggett-Williams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions.

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