AIP Advances, 2021 In this work, the nonlinear Schrödinger’s equation is studied for birefringent fibers incorporating four-wave mixing. The improved tanϕ(ξ)2-expansion, first integral, and G′G2-expansion methods are used to extract a novel class of optical solitons in the
J. F. Gómez-Aguilar +7 more
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Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
, 2008 We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
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Fractal and Fractional, 2022 The current paper intends to report the existence and uniqueness of positive solutions for nonlinear pantograph Caputo–Hadamard fractional differential equations.
Hamid Boulares +4 more
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Nonlinear integral equations singular in the dependent variable
Applied Mathematics Letters, 2007 This paper concerns the existence of nonnegative solutions to the singular integral equation \(y(t)=\int^1_0 k(t,s)[G(s,y(s))+F(s,y(s))]ds\) \((t\in [0,1])\), where \(G\in C([0,1]\times (0,\infty),[0,\infty))\), \(F\in C([0,1]\times [0,\infty),[0,\infty))\) so \(G\) may be singular at \(y=0\).
Donal O'Regan +2 more
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Two Numerical Approaches for Nonlinear Weakly Singular Integral Equations
CoRR, 2022 25 pages, 4 figures, 4 ...
Mario Ahues +3 more
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On the Solution of Quadratic Nonlinear Integral Equation with Different Singular Kernels [PDF]
Mathematical Problems in Engineering, 2020 All the previous authors discussed the quadratic equation only with continuous kernels by different methods. In this paper, we introduce a mixed nonlinear quadratic integral equation (MQNLIE) with singular kernel in a logarithmic form and Carleman type. An existence and uniqueness of MQNLIE are discussed.
M. Basseem, Ahmad Alalyani
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Bounded, asymptotically stable, and L^{1} solutions of Caputo fractional differential equations [PDF]
Opuscula Mathematica, 2015 The existence of bounded solutions, asymptotically stable solutions, and \(L^1\) solutions of a Caputo fractional differential equation has been studied in this paper.
Muhammad N. Islam
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Monotonic solutions of functional integral and differential equations of fractional order
Electronic Journal of Qualitative Theory of Differential Equations, 2009 The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equations have been studied by J. Banas. Here we are concerned with a singular quadratic functional integral equations.
Ahmed El-Sayed, H. H. G. Hashem
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Singular integral inequalities with several nonlinearities and integral equations with singular kernels [PDF]
Nonlinear Oscillations, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solutions of Nonlinear Integral Equations and their Application to Singular Perturbation Problems [PDF]
, 1963 [See thesis for full ...
Willett, Douglas Warren
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