@inproceedings{bdef052d8f5e4450b64f6366689b4b84,
title = "Operational Calculus with Applications to Generalized Two-Sided Fractional Derivative",
abstract = "The paper contains the construction of an operational calculus used to solve fractional differential equations based on a generalized two-sided fractional derivative. The Riesz and Feller potential are particular cases of this derivative. It is proved that generalized two-sided fractional derivative is a right shift operator. Our resulting solutions are expressed in terms of series. In some cases the close form is obtained.",
author = "Gabriel Bengochea and Manuel Ortigueira",
note = "info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00066%2F2020/PT# Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.; International Conference on Fractional Calculus and its Applications, 2021 ; Conference date: 06-09-2021 Through 08-09-2021",
year = "2022",
doi = "10.1007/978-3-031-04383-3_17",
language = "English",
isbn = "978-3-031-04382-6",
series = "Lecture Notes in Networks and Systems",
publisher = "Springer",
pages = "153--160",
editor = "Andrzej Dzielinski and Dominik Sierociuk and Piotr Ostalczyk",
booktitle = "Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA{\textquoteright}21)",
address = "Netherlands",
}