In this paper, we discuss on the new generalized fractional operator. This operator similarly conformable derivative satisfies properties such as the sum, product/quotient and chain rule. Laplace transform is defined in this case, and some of its properties are stated. In the following, the Sturm-Liouville problems are investigated, and also eigenvalues and eigenfunctions are obtained.

Mohammad Jafari

Farhad Dastmalchi Saei

Ali Asghar Jodayree Akbarfam

The Generalized Conformable Derivative for 4$alpha$-Order Sturm-Liouville Problems

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Journal Info

Category	Quartile
MATHEMATICS, APPLIED	2