The $(4\alpha-\rho)$ order Sturm-Liouville problem with generalized fractional derivative

Jafari, Mohammad; Dastmalchi Saei, Farhad

doi:10.22034/cmde.2024.60925.2604

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	The $(4\alpha-\rho)$ order Sturm-Liouville problem with generalized fractional derivative
Computational Methods for Differential Equations
مقاله 13، دوره 13، شماره 4، دی 2025، صفحه 1250-1259 اصل مقاله (550.97 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.60925.2604
نویسندگان
Mohammad Jafari^* ¹؛ Farhad Dastmalchi Saei²
¹Department of Science, Payame Noor University, Tehran, Iran.
²Department of Mathematics Faculty of Science Tabriz Branch, Islamic Azad University, Tabriz, Iran.
چکیده
In this paper, we analyze the generalized fractional derivative with two parameters for fourth-order Sturm-Liouville problems. These parameters are $\alpha$({\em the fractional order}) and $\rho$ ({\em a real number}). In the following, we discuss five different forms of Sturm--Liouville problems, which are solved using the $\rho-$Laplace transform.
کلیدواژه‌ها
Fractional derivative؛ The Laplace transform؛ Sturm-Liouville problems

مراجع
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The $(4\alpha-\rho)$ order Sturm-Liouville problem with generalized fractional derivative