Results 101 to 110 of about 3,846,782 (204)
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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Existence theory for nonlinear volterra integral and differential equations
Journal of Inequalities and Applications, 2001 The technique of measures of noncompactness and measures of weak noncompactness is used in order to derive existence results for integrodifferential equation of the form \[ y'(t)= f\left(t,y(t), \int^t_0 k\bigl(t,s,y(s)\bigr)ds \right),\;t\in[0,T],\;y(0)=0.
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On a certain nonlinear integral equation of the Volterra type [PDF]
Pacific Journal of Mathematics, 1951 Roberts, J. H., Mann, W. R.
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On an abstract nonlinear functional second order Volterra integrodifferential equation
Ratio MathematicaIn this paper, we prove the existence, uniqueness and boundedness of solutions of a nonlinear functional second order Volterra integrodifferential equation in a general Banach space.
Pramod M Dhakane
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Jacobi spectral collocation method for the approximate solution of multidimensional nonlinear Volterra integral equation. [PDF]
Springerplus, 2016 Wei Y, Chen Y, Shi X, Zhang Y.
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Advances in Difference Equations, 2010 The authors employs a hybrid fixed point theorem involving the multiplication of two operators for proving an existence result of locally attractive solutions of a nonlinear quadratic Volterra integral equation of fractional (arbitrary) order ...
Abbas MohamedI
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Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel
Computational and Mathematical MethodsThis work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV-FIE) and the necessary conditions for a unique solution.
Sameeha Ali Raad, Ahlam Yahya Alabdali
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International Journal of Mathematics and Mathematical SciencesIn this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro-differential equations with logarithmic weakly singular kernel.
Qays Atshan Almusawi, Esmaeil Najafi
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An approximate solution of two dimensional nonlinear Volterra integral equation using Newton-Kantorovich method [PDF]
, 2016 This paper studies the method for establishing an approximate solution of nonlinear two dimensional Volterra integral equations (NLTD-VIE). The Newton-Kantorovich (NK) suppositions are employed to modify NLTD-VIE to the sequence of linear two dimensional
Eshkuvatov, Zainidin K. +2 more
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Volterra integral equation with power nonlinearity
Chebyshevskii Sbornik, 2022 openaire +1 more source