scholarly journals Addendum to integrable and continuous solutions of a nonlinear quadratic integral equation

2009 ◽  
pp. 1-1
Author(s):  
Ahmed Ma A El-Sayed ◽  
Hind H. G. Hashem
Keyword(s):  
Integral Equation ◽  
Continuous Solutions ◽  
Quadratic Integral Equation ◽  
Quadratic Integral

scholarly journals On the existence of continuous solutions of a nonlinear quadratic fractional integral equation

2020 ◽  
Vol 19 ◽  
pp. 14-25
Author(s):  
Wagdy G. El-Sayed ◽  
Mahmoud M. El-Borai ◽  
Mohamed M.A. metwali ◽  
Nagwa I. Shemais
Keyword(s):  
Banach Space ◽  
Integral Equation ◽  
Fractional Integral ◽  
Closed Interval ◽  
Continuous Solutions ◽  
Abstract Result ◽  
Fractional Integral Equation ◽  
Quadratic Integral Equation ◽  
Quadratic Integral ◽  
Special Case

We prove an existence theorem for a nonlinear quadratic integral equation of fractional order, in the Banach space of real functions defined and continuous on a closed interval. This equation contains as a special case numerous integral equation studied by other authors. Finally, we give an example for indicating the natural realizations of our abstract result presented in this paper.

scholarly journals On a delay Volterra-Stieltjes quadratic integral equation

2020 ◽  
Vol 8 (4) ◽  
pp. 1392-1398
Author(s):  
El-Sayed A. M. A. ◽  
Omar Y. M. Y.
Keyword(s):  
Integral Equation ◽  
Quadratic Integral Equation ◽  
Quadratic Integral
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