A Review on the Integral Transforms [PDF]
Many integral transformations have been proposed, tasted and proven to solve many applications in various scientific fields. The diversity of integral transformations comes from their unique ability to solve problems by transforming them from one domain ...
Jinan Jasim, Emad kuffi, Sadiq Mehdi
doaj +1 more source
Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE +2 more
core +1 more source
Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks [PDF]
This is the pre-print version of the article. The official published version can be obtained from the link below - Copyright @ 2011 Wiley-BlackwellSegregated direct boundary-domain integral equation (BDIE) systems associated with mixed, Dirichlet and ...
S.E. Mikhailov +5 more
core +1 more source
Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients [PDF]
This is the post-print version of the Article. The official published version can be found at the links below - Copyright @ 2011 Birkhäuser Boston.Some segregated systems of direct localized boundary-domain integral equations (LBDIEs) associated with ...
Mikhailov, SE +4 more
core +1 more source
A note on dual integral equations involving inverse associated Weber-Orr transforms
We consider dual integral equations involving inverse associated Weber-Orr transforms. Elementary methods have been used to reduce dual integral equations to a Fredholm integral equation of second kind. Some known results are obtained as special case.
Nanigopal Mandal, B. N. Mandal
doaj +1 more source
Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains [PDF]
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Birkhäuser Boston.Some direct segregated systems of boundary–domain integral equations (LBDIEs) associated with the mixed
Mikhailov, SE +5 more
core +1 more source
On One Integral Equation in the Theory of Transform Operators [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Fractional Calculus, Gegenbauer Transformations, and Integral Equations
This well organized paper starts with discussions of the Weyl and the Riemann-Liouville fractional calculi. A number of identities which connect these fractional integral operators with the Erdélyi-Kober and other operators are developed. The Rodrigues formula for Gegenbauer polynomials is then generalized to an integral relation for Gegenbauer ...
van Berkel, C.A.M. +1 more
openaire +3 more sources
INTEGRAL TRANSFORM AND FRACTIONAL KINETIC EQUATION
With the help of the Laplace and Fourier transforms, we arrive at the fractional kinetic equation's solution in this paper. Their respective solutions are given in terms of the Fox's H-function and the Mittag-Leffler function, which are also known as the generalisations and the Saigo-Maeda operator-based solution of the generalised fractional kinetic ...
AARTI PATHAK +4 more
openaire +1 more source
Transformations between Nonlocal and Local Integrable Equations
AbstractRecently, a number of nonlocal integrable equations, such as the ‐symmetric nonlinear Schrödinger (NLS) equation and ‐symmetric Davey–Stewartson equations, were proposed and studied. Here, we show that many of such nonlocal integrable equations can be converted to local integrable equations through simple variable transformations.
Bo Yang, Jianke Yang
openaire +4 more sources

