Results 101 to 110 of about 25,831 (249)

An Analytical and Approximate Solution for Nonlinear Volterra Partial Integro-Differential Equations with a Weakly Singular Kernel Using the Fractional Differential Transform Method

open access: yesInternational 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
doaj   +1 more source

Cordial Volterra Integral Equations and Singular Fractional Integro-Differential Equations in Spaces of Analytic Functions∗

open access: yesMathematical Modelling and Analysis, 2017
We study general cordial Volterra integral equations of the second kind and certain singular fractional integro-differential equation in spaces of analytic functions.
Urve Kangro
doaj   +1 more source

On Stieltjes-Volterra integral equations [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1978
A Stieltjes-Volterra integral equation systemis firstly considered. Pointwise estimates and boundedness of its solutions are obtained under various conditions on the functionK. To do this, the well-known Gronwall-Bellman integral inequality is generalized.
openaire   +2 more sources

On the solution to a two-dimensional boundary value problem of heat conduction in a degenerating domain

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
The article considers a homogeneous boundary - value problem for the heat equation in the non - cylindrical domain, namely, in an inverted pyramid with a vertex at the origin of coordinates, two faces of which lie in coordinate planes.A solution to the ...
M.T. Kosmakova   +4 more
doaj  

The approximate solution of Volterra integral equations

open access: yesJournal of Approximation Theory, 1975
AbstractHuffstutler and Stein and recently Bacopoulos and Kartsatos have dealt with the problem of best approximation by polynomials of the solutions of nonlinear differential equations. The purpose of the present paper is to generalize their results and to show that they can be established under a weaker set of conditions.
openaire   +2 more sources

American Call Options on Jump-Diffusion Processes: A Fourier Transform Approach [PDF]

open access: yes
This paper considers the Fourier transform approach to derive the implicit integral equation for the price of an American call option in the case where the underlying asset follows a jump-diffusion process.
Andrew Ziogas, Carl Chiarella
core  

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