Results 81 to 85 of about 444 (85)

Adomian decomposition method and its modification for nonlinear Abel's integral equation

, 2013
In this paper, by considering the two-step Laplace decomposition method and the appearance of noise terms, exact solutions are calculated for nonlinear Abel's integral equation and generalized Abel's integral equation. This new method provides us to find
R. Khan, H. Bakodah
semanticscholar   +1 more source

Generalized Solution to the Volterra Equations with Piecewise Continuous Kernels and Sources

, 2014
Sufficient conditions for existence and uniqueness of the solution of the Volterra integral equations of the first kind with piecewise continuous kernels are derived in framework of Sobolev-Schwartz distribution theory.
D. Sidorov
semanticscholar   +1 more source

Modified decomposition method by Adomian and Rach for solving nonlinear Volterra integro-differential equations

, 2017
In this paper, Modified Decomposition Method by Adomian and Rach has been implemented to analyze nonlinear Volterra integro-differential equations. The suggested approach is much better than the standard version of the Adomian decomposition method.
M. AL-Mazmumy, S. O. Almuhalbedi
semanticscholar   +1 more source

Existence of solutions for convex-type Volterra integrodifferential inclusions

, 2015
We state sufficient conditions that guarantee the existence and compactness of solutions of a class of Volterra integrodifferential inclusions. The integrodifferential inclusion is reformulated as an integral inclusion using the variation of parameters ...
Gilbert Peralta
semanticscholar   +1 more source

Nonlinear Volterra Integral Equations with Convolution Kernels

, 2003
W. Mydlarczyk, W. Okrasinski
semanticscholar   +1 more source