Results 41 to 50 of about 392,374 (316)
Nonlinear integrable equations and nonlinear Fourier transform [PDF]
, 1997 In the paper we study nonlocal functionals whose kernels are homogeneous generalized functions. We also use such functionals to solve the Korteweg-de Vries , the nonlinear Schr dinger and the Davey-Stewartson equations.
Fokas, A. S. +2 more
openaire +2 more sources
Abel's Integral Equation as a Convolution Transform [PDF]
Proceedings of the American Mathematical Society, 1956 the first equation to be treated and solved as an integral equation, has an extensive literature, dealing on the one hand with properties of the functions involved, and on the other hand with the solution, and conditions for solubility of the equation. In the first category one might cite, in the modern spirit, the memoirs of Hardy [1, pp.
openaire +1 more source
Fractional Calculus, Gegenbauer Transformations, and Integral Equations
Journal of Mathematical Analysis and Applications, 1995 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
On a New Integral Transform and Differential Equations [PDF]
Mathematical Problems in Engineering, 2010 Integral transform method is widely used to solve the several differential equations with the initial values or boundary conditions which are represented by integral equations. With this purpose, the Sumudu transform was introduced as a new integral transform by Watugala to solve some ordinary differential equations in control engineering.
Kilicman, Adem, Eltayeb, Hassan
openaire +2 more sources
A note on dual integral equations involving inverse associated Weber-Orr transforms
International Journal of Mathematics and Mathematical Sciences, 1996 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
, 2020 In this research study, a newly devised integral transform called the Mohand transform has been used to find the exact solutions of fractional-order ordinary differential equations under the Caputo type operator. This transform technique has successfully
S. Qureshi, A. Yusuf, S. Aziz
semanticscholar +1 more source
Journal of Physics: Conference Series, 2022 Abstract The immense importance of differential equations and integral transforms in scientific fields leads to inducting the integral transforms as a solving tool for partial differential equations. The “double SEE integral transform” is a novel integral transform suggested in this research.
Emad A Kuffi, Eman A Mansour
openaire +1 more source
, 2017 We explore the connection between fractional order partial differential equations in two or more spatial dimensions with boundary integral operators to develop techniques that enable one to efficiently tackle the integral fractional Laplacian.
AA Golovin +26 more
core +1 more source
The role and implications of mammalian cellular circadian entrainment
FEBS Letters, EarlyView.At their most fundamental level, mammalian circadian rhythms occur inside every individual cell. To tell the correct time, cells must align (or ‘entrain’) their circadian rhythm to the external environment. In this review, we highlight how cells entrain to the major circadian cues of light, feeding and temperature, and the implications this has for our
Priya Crosby
wiley +1 more source
Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer
FEBS Letters, EarlyView.Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani +4 more
wiley +1 more source