Multiplicative conformable fractional Dirac system
Sertaç Göktaş, HİKMET KEMALOĞLU, EMRAH YILMAZ
Abstract
In multiplicative fractional calculus, the well-known Dirac system in fractional calculus is redefined. The aim of this study is to analyze some spectral properties such as self-adjointness of the operator, structure of all eigenvalues, orthogonality of distinct eigenfunctions, etc. for this system. Moreover, Green's function in multiplicative case is reconstructed for this system.
Topics & Concepts
MathematicsOrthogonalityMultiplicative functionFractional calculusEigenfunctionConformable matrixEigenvalues and eigenvectorsDirac (video compression format)Operator (biology)Dirac operatorPure mathematicsFunction (biology)Mathematical analysisAlgebra over a fieldCalculus (dental)GeometryMedicineChemistryBiochemistryQuantum mechanicsNuclear physicsEvolutionary biologyPhysicsNeutrinoRepressorTranscription factorBiologyDentistryGeneSpectral Theory in Mathematical PhysicsMathematical functions and polynomialsFractional Differential Equations Solutions