Degenerate method in mixed nonlinear three dimensions integral equation
Alexandria Engineering Journal, 2019 In this paper, a mixed nonlinear integral equation (MNIE) of The second kind of position and time is introduced. The existence Of at least one solution of this equation is discussed.
M. Basseem
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Applications of Normal S-Iterative Method to a Nonlinear Integral Equation [PDF]
The Scientific World Journal, 2014 It has been shown that a normal S-iterative method converges to the solution of a mixed type Volterra-Fredholm functional nonlinear integral equation. Furthermore, a data dependence result for the solution of this integral equation has been proven.
Faik Gürsoy
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On a Nonlinear Integral Equation with Contractive Perturbation [PDF]
Advances in Difference Equations, 2011 We get an existence result for solutions to a nonlinear integral equation with contractive perturbation by means of Krasnoselskii's fixed point theorem and especially the theory of measure of weak noncompactness.
Huan Zhu
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Hyers-Ulam Stability of Nonlinear Integral Equation
Fixed Point Theory and Applications, 2010 We will apply the successive approximation method for proving the Hyers-Ulam stability of a nonlinear integral equation.
Gachpazan Mortaza, Baghani Omid
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Numerical treatments for solving nonlinear mixed integral equation
Alexandria Engineering Journal, 2016 We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
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Computation of semi-analytical solutions of fuzzy nonlinear integral equations
Advances in Difference Equations, 2020 In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah +3 more
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Integral Operators of Mixed Type of Nonlinear Integral Equation [PDF]
مجلة التربية والعلم, 2018 In this paper, we investigate some properties of nonlinear integral operators of mixed type of integral equations with kernels depending on two variables. The results concerning the continuity and compactness of these operators are obtained.
Lamyaa H. Saadoon
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On the integrability of the discrete nonlinear Schrödinger equation [PDF]
EPL (Europhysics Letters), 2008 In this letter we present an analytic evidence of the non-integrability of the discrete nonlinear Schroedinger equation, a well-known discrete evolution equation which has been obtained in various contexts of physics and biology. We use a reductive perturbation technique to show an obstruction to its integrability.
LEVI, Decio, Petrera M, Scimiterna C.
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Solving two-dimensional nonlinear fuzzy Volterra integral equations by homotopy analysis method
Demonstratio Mathematica, 2021 The purpose of the paper is to find an approximate solution of the two-dimensional nonlinear fuzzy Volterra integral equation, as homotopy analysis method (HAM) is applied.
Georgieva Atanaska
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An Innovative Approach to Nonlinear Fractional Shock Wave Equations Using Two Numerical Methods
Mathematics, 2023 In this research, we propose a combined approach to solving nonlinear fractional shock wave equations using an Elzaki transform, the homotopy perturbation method, and the Adomian decomposition method. The nonlinear fractional shock wave equation is first
Meshari Alesemi
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