Summability of formal solutions for a family of generalized moment integro-differential equations
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/50614DOI: 10.1515/fca-2021-0061
ISSN: 1311-0454
Publisher
Springer Nature
Date
2021-10-28Embargo end date
2022-10-28Funders
Agencia Estatal de Investigación
Universidad de Alcalá
Bibliographic citation
Lastra, A., Michalik, S. & Suwinska, M. 2021, “Summability of formal solutions for a family of generalized moment integro-differential equations”, Fractional Calculus and Applied Analysis, vol. 24, no. 5, pp. 1445-1476.
Keywords
Summability
Formal solution
Moment estimates
Moment derivative
Moment partial differential equation
Moment integro-differential equation
Fractional partial differential equation
Project
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105621GB-I00/ES/METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOS/
info:eu-repo/grantAgreement/UAH//CM-JIN-2019-010
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
https://doi.org/10.1515/fca-2021-0061Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
© 2021 Diogenes Co., Sofia
Access rights
info:eu-repo/semantics/openAccess
Abstract
Generalized summability results are obtained regarding formal solutions of certain families of linear moment integro-differential equations with time variable coefficients. The main result leans on the knowledge of the behavior of the moment derivatives of the elements involved in the problem.
A refinement of the main result is also provided giving rise to more accurate results which remain valid in wide families of problems of high interest in practice, such as fractional integro-differential equations.
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