In this paper, we show the Ambarzumyan theorem by taking into account the Sturm-Liouville problem with separable boundary conditions by local derivative. We prove that if the spectrum consists of the first eigenvalue, then the potential function can be found depending on the first eigenvalue. Also, we give some examples like periodic and anti-periodic boundary conditions. In the case of α = 1, results were given in [32]. Although the concept of conformable fractional is debatable, we hope the results will be useful for Sturm-Liouville theory.
Kemaloglu, B. and Bulut, H. (2025). AMBARZUMYAN TYPE THEOREM WITH CONFORMABLE DERIVATIVE. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2025.64979.2963
MLA
Kemaloglu, B. , and Bulut, H. . "AMBARZUMYAN TYPE THEOREM WITH CONFORMABLE DERIVATIVE", Computational Methods for Differential Equations, , , 2025, -. doi: 10.22034/cmde.2025.64979.2963
HARVARD
Kemaloglu, B., Bulut, H. (2025). 'AMBARZUMYAN TYPE THEOREM WITH CONFORMABLE DERIVATIVE', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2025.64979.2963
CHICAGO
B. Kemaloglu and H. Bulut, "AMBARZUMYAN TYPE THEOREM WITH CONFORMABLE DERIVATIVE," Computational Methods for Differential Equations, (2025): -, doi: 10.22034/cmde.2025.64979.2963
VANCOUVER
Kemaloglu, B., Bulut, H. AMBARZUMYAN TYPE THEOREM WITH CONFORMABLE DERIVATIVE. Computational Methods for Differential Equations, 2025; (): -. doi: 10.22034/cmde.2025.64979.2963
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