On the Solutions of a Quadratic Integral Equation of the Urysohn Type of Fractional Variable Order [PDF]
Entropy, 2022 In this manuscript we introduce a quadratic integral equation of the Urysohn type of fractional variable order. The existence and uniqueness of solutions of the proposed fractional model are studied by transforming it into an integral equation of ...
Amar Benkerrouche +3 more
doaj +4 more sources
On solutions of a quadratic integral equation of Hammerstein type
Mathematical and Computer Modelling, 2006 0 ...
Józef Banas +2 more
exaly +6 more sources
Chandrasekhar quadratic and cubic integral equations via Volterra-Stieltjes quadratic integral equation [PDF]
Demonstratio Mathematica, 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.
El-Sayed Ahmed M. A., Omar Yasmin M. Y.
doaj +2 more sources
A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation
Nonlinear Engineering, 2021 An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A. +5 more
doaj +2 more sources
Investigating a Generalized Fractional Quadratic Integral Equation
Fractal and Fractional, 2022 In this article, we investigate the analytical and approximate solutions for a fractional quadratic integral equation in the frame of the generalized Riemann–Liouville fractional integral operator with respect to another function.
Basim N. Abood +3 more
doaj +2 more sources
Addendum to integrable and continuous solutions of a nonlinear quadratic integral equation
Electronic Journal of Qualitative Theory of Differential Equations, 2008 This addendum concerns the paper of the above title found in EJQTDE No. 25 (2008). There are some misprints in that paper: (i) Page 3, line 5 should be $k:[0,1] \times[0,1]\rightarrow R_+$ satisfies Carath\'{e}odory condition (i.e.
Ahmed El-Sayed, H. H. G. Hashem
doaj +3 more sources
Integrable and continuous solutions of a nonlinear quadratic integral equation
Electronic Journal of Qualitative Theory of Differential Equations, 2008 We are concerned here with a nonlinear quadratic integral equation of Volterra type. The existence of at least one $L_1-$ positive solution will be proved under the Carath\`{e}odory condition.
Ahmed El-Sayed, H. H. G. Hashem
doaj +3 more sources
On quadratic integral equation of fractional orders
Journal of Mathematical Analysis and Applications, 2005 Motivated by the extensions of the work of \textit{J. Banaś} and \textit{A. Martinon} [Comput. Math. Appl. 47, No. 2--3, 271--279 (2004; Zbl 1059.45002)], which is based on a measure of non-compactness and fixed point theorem due to Darbo, the author, by using the Riemann-Liouville fractional integral operator, establishes an existence theorem for ...
Mohamed Abdalla Darwish
exaly +4 more sources
On Solutions of a Quadratic Integral Equation of Urysohn Type [PDF]
مجلة التربية والعلم, 2014 In this paper, we investigate the existence of a unique solution on a semi-infinite interval for a quadratic integral equation of Urysohn type in Frechet space using a nonlinear alternative of Leray-Schauder type for contraction maps.
Lamyaa Sadoon
doaj +2 more sources
On a perturbed quadratic fractional integral equation of Abel type
Computers and Mathematics With Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamed Abdalla Darwish
exaly +2 more sources