scholarly journals Chandrasekhar quadratic and cubic integral equations via Volterra-Stieltjes quadratic integral equation

2021 ◽  
Vol 54 (1) ◽  
pp. 25-36
Author(s):  
Ahmed M. A. El-Sayed ◽  
Yasmin M. Y. Omar
Keyword(s):  
Integral Equation ◽  
Integral Equations ◽  
Fractional Order ◽  
Special Cases ◽  
Quadratic Integral Equation ◽  
Quadratic Integral ◽  
Stieltjes Type

Abstract In this work, we study the existence of one and exactly one solution x ∈ C [ 0 , 1 ] x\in C\left[0,1] , for a delay quadratic integral equation of Volterra-Stieltjes type. As special cases we study a delay quadratic integral equation of fractional order and a Chandrasekhar cubic integral equation.

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.

scholarly journals On Chandrasekhar functional integral inclusion and Chandrasekhar quadratic integral equation via a nonlinear Urysohn–Stieltjes functional integral inclusion

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Ahmed El-Sayed ◽  
Shorouk Al-Issa ◽  
Yasmin Omar
Keyword(s):  
Integral Equation ◽  
Existence Of Solutions ◽  
Functional Integral ◽  
Integral Inclusion ◽  
Quadratic Integral Equation ◽  
Quadratic Integral ◽  
Stieltjes Type

AbstractWe investigate the existence of solutions for a nonlinear integral inclusion of Urysohn–Stieltjes type. As applications, we give a Chandrasekhar quadratic integral equation and a nonlinear Chandrasekhar integral inclusion.

On a nonlinear quadratic integral equation of Urysohn–Stieltjes type and its applications

2001 ◽  
Vol 47 (2) ◽  
pp. 1175-1186 ◽  
Author(s):  
Józef Banaś ◽  
Juan Ramon Rodriquez ◽  
Kishin Sadarangani
Keyword(s):  
Integral Equation ◽  
Quadratic Integral Equation ◽  
Quadratic Integral ◽  
Stieltjes Type

scholarly journals Monotonic solutions for a quadratic integral equation of fractional order

2019 ◽  
Vol 4 (3) ◽  
pp. 821-830 ◽  
Author(s):  
A. M. A. El-Sayed ◽  
◽  
Sh. M. Al-Issa ◽  
◽  
Keyword(s):  
Integral Equation ◽  
Fractional Order ◽  
Quadratic Integral Equation ◽  
Quadratic Integral
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