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RISDecoupling the NLO- coupled QED * QCD, 6 DGLAP evolution equations, using Laplace transform method
We analytically solved the QED ⊗ QCD-coupled DGLAP evolution equations at leading
15 order (LO) quantum electrodynamics (QED) and next-to-leading order (NLO) quantum
16 chromodynamics (QCD) approximations, using the Laplace transform...
On Regularized Quasi-Semigroups and Evolution Equations
We introduce the notion of regularized quasi-semigroup of bounded linear operators on Banach
spaces and its infinitesimal generator, as a generalization of regularized semigroups of operators.
After some ...
Sufficient conditions for optimality for stochastic evolution equations
New (F/G)-Expansion Method and Its Applications to Nonlinear Pdes in Mathematical Physics
In this work, the new (F/G)-expansion method is proposed for obtaining traveling wave solutions of non linear evolution equations. This method is more powerful than the method (G′/G)-expansion method. The efficiency of the method is demonstrated...
Analytical solutions of the QCD QED DGLAP evolution equations based on the Mellin transform technique in NLO approximation
In this paper we present a new and efficient analytical solutions for evolving the QCD⊗QED DGLAP
evolution equations in Mellin space and obtain the parton distribution functions (PDFs) in perturbative
QCD including the QED corrections...