Fractional Cauchy problems and applications

Mohammed AL Horani; Mauro Fabrizio; Angelo Favini; Hiroki Tanabe

doi:10.3934/dcdss.2020187

Article Contents

2020, Volume 13, Issue 8: 2259-2270. Doi: 10.3934/dcdss.2020187

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Fractional Cauchy problems and applications

1.
Department of Mathematics, The University of Jordan, Amman, Jordan
2.
Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato, 5 – 40126 Bologna, Italy
3.
Takarazuka, Hirai Sanso 12-13,665-0817, Japan

Received: August 2018

Revised: April 2019

Early access: November 2019

Published: May 2020

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Abstract

We are devoted to fractional abstract Cauchy problems. Required conditions on spaces and operators are given guaranteeing existence and uniqueness of solutions. An inverse problem is also studied. Applications to partial differential equations are given to illustrate the abstract fractional degenerate differential problems.

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Mathematics Subject Classification: Primary: 26A33; Secondary: 34G10.

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References

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