Results 21 to 30 of about 53 (49)
Fractional modelling arising in unidirectional propagation of long waves in dispersive media
The purpose of this paper is to propose a modified and simple algorithm for fractional modelling arising in unidirectional propagation of long wave in dispersive media by using the fractional homotopy analysis transform method (FHATM).
Kumar Sunil +2 more
doaj +1 more source
New singular solutions of Protter′s problem for the 3D wave equation
In 1952, for the wave equation,Protter formulated some boundary value problems (BVPs), which are multidimensional analogues of Darboux problems on the plane. He studied these problems in a 3D domain Ω0, bounded by two characteristic cones Σ1 and Σ2,0 and a plane region Σ0. What is the situation around these BVPs now after 50 years?
M. K. Grammatikopoulos +2 more
wiley +1 more source
In this paper coupled implicit initial‐boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.
Lucas Jódar
wiley +1 more source
Analysis of Multi Term Fractional Differential Equations using Variational Iteration Method
In this paper, we have obtained an approximate solution ofmulti-term Caputo fractional differential equations (MFDEs) using theVariational iteration method (VIM).
Vikas S. Jadhav; Department of Mathematics, Nowrosjee Wadia College Pune +3 more
core
We investigate the initial value problem associated to the higher order nonlinear Schrödinger equation i∂tu+−1j+1∂x2ju=u2ju x,t≠0∈ℝ,ux,0=u0x, where j ≥ 2 is any integer, u is a complex valued function, and the initial data u0 is real analytic on ℝ and has a uniform radius of spatial analyticity σ0 in the space variable.
Tegegne Getachew +3 more
wiley +1 more source
On the Holomorphic Extension of Solutions of Elliptic Pseudodifferential Equations [PDF]
2010 Mathematics Subject Classification: 35B65, 35S05, 35A20.We derive analytic estimates and holomorphic extensions for the solutions of a class of elliptic pseudodifferential equations on ...
Nicola, Fabio, Cappiello, Marco
core
Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley +1 more source
Real Bargmann spaces, Fischer decompositions and Sets of uniqueness for polyharmonic functions
In this paper a positive answer is given to the following question of W.K. Hayman: if a polyharmonic entire function of order k vanishes on k distinct ellipsoids in the euclidean space Rn then it vanishes everywhere.
Render, Hermann, Hermann Render
core +1 more source
Operators with Polynomial Coefficients and Generalized Gelfand-Shilov Classes [PDF]
2010 Mathematics Subject Classification: Primary 35S05, 35J60; Secondary 35A20, 35B08, 35B40.We study the problem of the global regularity for linear partial differential operators with polynomial coefficients.
De Donno, Giuseppe +3 more
core
Solución aproximada de sistemas diferenciales mixtos
En este artículo se propone encontrar una solución aproximada para problemas de valor en la frontera y problemas de valor inicial de un sistema diferencial utilizando el método de los desarrollos de Fer.
Jorge I. Castaño–Bedoya +2 more
doaj

