@ARTICLE{Aydin_Mustafa_Some_2024,
 author={Aydin, Mustafa and Mahmudov, Nazim},
 volume={72},
 number={2},
 journal={Bulletin of the Polish Academy of Sciences Technical Sciences},
 pages={e149170},
 howpublished={online},
 year={2024},
 abstract={We introduce the Sobolev-type multi-term μ-fractional evolution with generalized fractional orders with respect to another function. We make some applications of the generalized Laplace transform. In the sequel, we propose a novel type of Mittag-Leffler function generated by noncommutative linear bounded operators with respect to the given function and give a few of its properties. We look for the mild solution formula of the Sobolev-type evolution equation by building on the aforementioned Mittag-Leffler-type function with the aid of two different approaches. We share new special cases of the obtained findings.},
 type={Article},
 title={Some applications of the generalized Laplace transform and the representation of a solution to Sobolev-type evolution equations with the generalized Caputo derivative},
 URL={http://journals.pan.pl/Content/130025/PDF/BPASTS-03456-EA.pdf},
 doi={10.24425/bpasts.2024.149170},
 keywords={degenerate evolution equation, Sobolev, generalized Laplace transform, fractional derivative with respect to another function, Mittag-Leffler type function},
}