Browsing by Author "Tuna, Huseyin"

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    Fractal Sturm-Liouville Problems
    (Taylor & Francis Ltd, 2025) Allahverdiev, Bilender P.; Tuna, Huseyin; Golmankhaneh, Alireza Khalili
    In this study, fractal Sturm-Liouville problems are considered. First, minimal and maximal operators corresponding to such problems are defined and a symmetric operator is obtained. Then Green's function is constructed and an eigenfunction expansion theorem is obtained. Finally, some examples are given.
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    Regular Fractal Dirac Systems
    (World Scientific Publ Co Pte Ltd, 2025) Allahverdiev, Bilender P.; Tuna, Huseyin; Golmankhaneh, Alireza Khalili
    In this paper, the classical one-dimensional Dirac equation is considered under the framework of fractal calculus. First, the maximal and minimal operators corresponding to the problem are defined. Then the symmetric operator is obtained, the Green's function corresponding to the problem is constructed, and the eigenfunction expansion is given. Finally, some examples are given.