Results 1 to 10 of about 10,070 (114)
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
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
Journal of Inequalities and Applications, 2016 In this paper the control system is considered described by a Urysohn type integral equation which is nonlinear with respect to the state vector and is affine with respect to the control vector.
Idham A Alias +2 more
doaj +3 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 +1 more source
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 +1 more source
On the Jost Solutions of A Class of the Quadratic Pencil of the Sturm-Liouville Equation
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2023 In this study we construct new integral representations of Jost-type solutions of the quadratic pencil of the Sturm-Liouville equation with the piece-wise constant coefficient on the entire real line.
Döndü Nurten Cücen, Anar Adiloğlu
doaj +1 more source
Advances in Difference Equations, 2021 We 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.
Ahmed El-Sayed +2 more
doaj +1 more source
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 +1 more source
On global attractivity of solutions of a functional-integral equation
Electronic Journal of Qualitative Theory of Differential Equations, 2007 We prove an existence theorem for a quadratic functional-integral equation of mixed type. The functional-integral equation studied below contains as special cases numerous integral equations encountered in nonlinear analysis.
Mohamed Darwish
doaj +1 more source
Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order
Journal of Function Spaces, 2017 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.
Hui-Sheng Ding +2 more
doaj +1 more source