Treatment of a Coupled System for Quadratic Functional Integral Equation on the Real Half-Line via Measure of Noncompactness

Autor: Ahmed M. A. El-Sayed, Yasmin M. Y. Omar, Hind H. G. Hashem, Shorouk M. Al-Issa

Publikováno v: Foundations, Vol 3, Iss 1, Pp 37-48 (2023)

This article is devoted to the solvability and the asymptotic stability of a coupled system of a functional integral equation on the real half-axis. Our consideration is located in the space of bounded continuous functions on R+(BC(R+)). The main too

Externí odkaz: https://doaj.org/article/856c33bf166f4b04971a2aab0e244eee

Non-linear Set-Valued Delay Functional Integral Equations of Volterra-Stieltjes Type: Existence of Solutions, Continuous Dependence and Applications

Autor: A. M. A. El-Sayed, Sh. M Al-Issa, Y. M. Y. Omar

Publikováno v: Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering ISBN: 9789815079333

In this chapter, we established two existence theorems for the non-linear Volterra-Stieltjes integral inclusion. The continuous dependence of the solutions on the delay functions, gi (i = 1,2) and on the set of selections, will be proved. The non-lin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::be34b1ea763e362b7ba2928143555e9f
https://doi.org/10.2174/9789815079333123010014

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

Autor: Ahmed M. A. El-Sayed, Yasmin M. Y. Omar

Publikováno v: Demonstratio Mathematica, Vol 54, Iss 1, Pp 25-36 (2021)

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c64e1a1565b10b1ba79e9c6d3c0acdfe
https://doi.org/10.1515/dema-2021-0003

On the Solutions of a Delay Functional Integral Equation of Volterra–Stieltjes Type

Autor: Yasmin M. Y. Omar, Ahmed M. A. El-Sayed

Publikováno v: International Journal of Applied and Computational Mathematics. 6

In this work, a delay functional integral equation of Volterra–Stieltjes type and an initial value problem of a delay integro-differential equation of Volterra–Stieltjes type will be considered. We study the existence of at least one or exact one

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c948c505e5c3cb1e1bc2005fadba75ea
https://doi.org/10.1007/s40819-019-0757-1

Positive continuous solution of a quadratic integral equation of fractional orders

Autor: Saudi Arabia, Y. M. Y. Omar, H. H. G. Hashem, Ahmed M. A. El-Sayed

Publikováno v: Mathematical Sciences Letters. 2:19-27

We are concerned here with the existence of a unique positive continuous solution for the quadratic integral of fractional orders 1 1 1 2 0 0 ( ) ( ) ( ) ( ) ( , ( )) . ( , ( )) , ( ) ( ) t t t s t s x t a t f s x s ds f s x s ds t I    

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::80f8355c4ccdb654f31e3d030df321e8
https://doi.org/10.12785/msl/020103