Results 1 to 10 of about 885 (99)
Ain Shams Engineering Journal, 2022 We presented an interpolation method for solving weakly singular Volterra integral equations of the second kind (SVK2). The method based on the barycentric Lagrange interpolation.. For the chosen nodes of the two singular kernel variables, we created two
E.S. Shoukralla +3 more
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Journal of Inequalities and Applications, 2017 The purpose of the present paper is to establish some new retarded weakly singular integral inequalities of Gronwall-Bellman type for discontinuous functions, which generalize some known weakly singular and impulsive integral inequalities.
Zizun Li, Wu-Sheng Wang
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Journal of Mathematics, 2022 In this paper, we establish several new weakly singular integral inequalities that generalize several previously known ones. Several applications for fractional differential equations in the Caputo context have been derived using tempered fractional ...
Abdellatif Ben Makhlouf +3 more
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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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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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A Regularization of Fredholm type singular integral equations
International Journal of Mathematics and Mathematical Sciences, 2001 We present a method to regularize first and second kind integral equations of Fredholm type with singular kernel. By appropriate application of the Poincaré-Bertrand formula we change such integral equations into a second kind Fredholm's integral ...
N. Aliev, S. Mohammad Hosseini
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Alexandria Engineering Journal, 2018 The current work presents a computational scheme to solve weakly singular integral equations of the second kind. The discrete collocation method in addition to the moving least squares (MLS) technique established on scattered points is utilized to ...
Pouria Assari
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Some weakly singular Volterra integral inequalities with maxima in two variables
Journal of Inequalities and Applications, 2023 In this paper, we establish some new weakly singular Volterra type integral inequalities that include the maxima of the unknown function of two variables.
Yining Sun, Run Xu
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Attractivity of solutions of Riemann–Liouville fractional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 Some new weakly singular integral inequalities are established by a new method, which generalize some results of this type in some previous papers.
Tao Zhu
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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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