Results 81 to 90 of about 35,727 (223)

Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients

, 2013
This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE, Natroshvili, D, Chkadua, O   +2 more
core   +1 more source

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

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, Jafar Saberi-Nadjafi, Morteza Gachpazan   +2 more
doaj   +1 more source

Existence results for abstract partial neutral integro-differential equation with unbounded delay

Electronic Journal of Qualitative Theory of Differential Equations, 2009
In this paper we study the existence and regularity of mild solutions for a class of abstract partial neutral integro-differential equations with unbounded delay.
Eduardo Hernandez, H. R. Henriquez, José Paulo Carvalho dos Santos   +2 more
doaj   +1 more source

Boundary Value Problem for Weak Nonlinear Partial Differential Equations of Mixed Type with Fractional Hilfer Operator

Axioms, 2020
In this paper, we consider a boundary value problem for a nonlinear partial differential equation of mixed type with Hilfer operator of fractional integro-differentiation in a positive rectangular domain and with spectral parameter in a negative ...
Tursun K. Yuldashev, Bakhtiyor J. Kadirkulov   +1 more
doaj   +1 more source

A rigorous derivation of Smoluchowski's equation in the moderate limit [PDF]

, 2004
Smoluchowski’s equation is a macroscopic description of a many particle system with coagulation and shattering interactions. We give a microscopic model of the system from which we derive this equation rigorously.
Klingenberg, C., Oelschläger, K., Grosskinsky, Stefan   +2 more
core   +1 more source

Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body

, 2005
A static mixed boundary value problem (BVP) of physically nonlinear elasticity for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary linear operator, a non-standard ...
Mikhailov, SE
core  

Existence of solutions for abstract neutral integro-differential equations with unbounded delay [PDF]

, 1998
summary:In this paper we study the existence of classical solutions for a class of abstract neutral integro-differential equation with unbounded delay.
Hernández, Eduardo M., O'Regan, Donal, Ezzinbi, Khalil, Donal O’Regan, Eduardo M. Hernández, O’Regan, Donal, Adimy, Mostafa   +6 more
core   +1 more source

Solution of nonlinear problems by a new analytical technique using Daftardar-Gejji and Jafari polynomials

Advances in Mechanical Engineering, 2019
This article shows the solution of nonlinear differential equations by a new analytical technique called modified optimal homotopy perturbation method. Daftardar-Gejji and Jafari polynomials are used in the proposed method for the expansion of nonlinear ...
Liaqat Ali, Saeed Islam, Taza Gul, Iraj Sadegh Amiri   +3 more
doaj   +1 more source

Analysis and numerical solution of a non-standard non-linear integro-differential boundary value problem

, 2011
The aim of this thesis is the analytical study and the development of a numerical method to solve a non-linear, integro-differential boundary value problem on the half line which is representative of a class of non-standard integral equations where the ...
Basile, Mariateresa
core  

Modification of the Differential Transform Method With Search Direction Along the Spatial Axis

International Journal of Differential Equations
This paper presents a modification of the Differential Transform Method (ModDTM) formulated so that the search direction of the solution is along a spatial axis (x). It is shown that the method is applicable to a wide spectrum of 1+1 partial differential
Helena Nayar, Patrick Azere Phiri
doaj   +1 more source