Results 11 to 20 of about 1,588 (293)
Some New Nonlinear Weakly Singular Inequalities and Applications to Volterra-Type Difference Equation [PDF]
Abstract and Applied Analysis, 2013 Some new nonlinear weakly singular difference inequalities are discussed, which generalize some known weakly singular inequalities and can be used in the analysis of nonlinear Volterra-type difference equations with weakly singular kernel. An application
Kelong Zheng +2 more
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Axioms, 2023 In this article, we develop an efficient numerical scheme for dealing with fractional partial integro-differential equations (FPIEs) with a weakly singular kernel.
Mingzhu Li, Lijuan Chen, Yongtao Zhou
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International Journal of Differential Equations, 2018 An analytical-approximate method is proposed for a type of nonlinear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method (FDTM).
Rezvan Ghoochani-Shirvan +2 more
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Fast solvers of weakly singular integral equations of the second kind
Mathematical Modelling and Analysis, 2018 We discuss the bounds of fast solving weakly singular Fredholm integral equations of the second kind with a possible diagonal singularity of the kernel and certain boundary singularities of the derivatives of the free term when the information about the ...
Sumaira Rehman +2 more
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RBFs for Integral Equations with a Weakly Singular Kernel [PDF]
American Journal of Applied Mathematics, 2015 In this paper a numerical method, based on collocation method and radial basis functions (RBF) is proposed for solving integral equations with a weakly singular kernel. Integrals appeared in the procedure of the solution are approximated by adaptive Lobatto quadrature rule.
Jafar Biazar
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A new technical for solving a weakly singular integro-differential equations
Journal of Taibah University for Science, 2017 In this work, we transform a weakly singular integro-differential equations with logarithmic kernel to singular integral equations of Cauchy type and we prove by regularization the existence and uniqueness of the solution of this equations.
Mostefa Nadir
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New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems [PDF]
Journal of Applied Mathematics, 2014 Some new integral inequalities with weakly singular kernel for discontinuous functions are established using the method of successive iteration and properties of Mittag-Leffler function, which can be used in the qualitative analysis of the solutions to ...
Jing Shao
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Some new weakly singular integral inequalities and their applications to fractional differential equations [PDF]
Journal of Inequalities and Applications, 2016 Some new inequalities with weakly singular integral kernel are developed, which generalize some known inequalities and can be used in the qualitative and quantitative analysis of the solutions to certain fractional differential equations.
Run Xu, Fanwei Meng
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Mathematics, 2022 This paper studies an alternating direction implicit orthogonal spline collocation (ADIOSC) technique for calculating the numerical solution of the hyperbolic integrodifferential problem with a weakly singular kernel in the two-dimensional domain.
Qiong Huang +2 more
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A Compact Scheme for a Partial Integro-Differential Equation with Weakly Singular Kernel [PDF]
Journal of Sciences, Islamic Republic of Iran, 2017 Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular kernel. The product trapezoidal method is applied for discretization of the integral term. The order of accuracy in space and time is , where .
J. Biazar +2 more
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