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Discrete Fractional Sturm-Liouville Equations
Erdal Bas, Ramazan Ozarslan
In this study, we define discrete fractional Sturm-Liouville (DFSL) operators within Riemann-Liouville and Grünwald-Letnikov fractional operators with both delta and nabla operator…
The Diffusion Difference Equation
Erdal Bas, Ramazan Ozarslan
In this work, we introduce a new difference equation which is discrete analogue of Diffusion differential equation and analyze some essential spectral properties, Diffusion differe…
Sturm-Liouville Difference Equations Having Special Potentials
Erdal Bas, Ramazan Ozarslan
In this paper, we present a new approachment for Sturm-Liouville problem having special potentials. We acquire the representations of solutions and asymptotic formulas for solution…
Spectral Properties of Fractional Sturm-Liouville Problem for Diffusion Operator
Erdal Bas, Funda Metin
In this study, we give a regular fractional Sturm Liouville problem for diffusion operator (FSLPDO), research the spectral properties of the eigenfunctions and eigenvalues of the d…