scholarly journals Maximal and minimal positive solutions of a nonlinear quadratic integral equation

2014 ◽  
pp. 21-31
Author(s):  
A.M.A. El-Sayed ◽  
M.Sh. Mohamed ◽  
N.A.O. Buhalima
Keyword(s):  
Integral Equation ◽  
Positive Solutions ◽  
Quadratic Integral Equation ◽  
Quadratic Integral

scholarly journals Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order

2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Hui-Sheng Ding ◽  
Man-Man Liu ◽  
Juan J. Nieto
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Positive Solutions ◽  
Fractional Order ◽  
Multiple Solutions ◽  
Fixed Point Theorems ◽  
Multiple Positive Solutions ◽  
Quadratic Integral Equation ◽  
Quadratic Integral ◽  
Quadratic Integral Equations

In this paper, the existence of multiple positive solutions for a class of quadratic integral equation of fractional order is obtained, by utilizing Avery-Henderson and Leggett-Williams multiple fixed point theorems on cones. An example is given to illustrate the applicability of our results. We believe that this is a first result concerning the existence of multiple solutions for such quadratic integral equation of fractional order.

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