Next Article in Journal
Composition Methods for Dynamical Systems Separable into Three Parts
Next Article in Special Issue
Nonlocal Integro-Differential Equations of the Second Order with Degeneration
Previous Article in Journal
Turbulence as a Network of Fourier Modes
Previous Article in Special Issue
Multi-Term Fractional Degenerate Evolution Equations and Optimal Control Problems
Open AccessArticle

Inverse Problems for Degenerate Fractional Integro-Differential Equations

Department of Mathematics, The University of Jordan, Amman 11942, Jordan
Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy
Takarazuka, Hirai Sanso 12-13, Osaka 665-0817, Japan
Author to whom correspondence should be addressed.
Mathematics 2020, 8(4), 532;
Received: 19 February 2020 / Revised: 22 March 2020 / Accepted: 23 March 2020 / Published: 3 April 2020
(This article belongs to the Special Issue Direct and Inverse Problems for Fractional Differential Equations)
This paper deals with inverse problems related to degenerate fractional integro-differential equations in Banach spaces. We study existence, uniqueness and regularity of solutions to the problem, claiming to extend well known studies for the case of non-fractional equations. Our method is based on transforming the inverse problem to a direct problem and identifying the conditions under which this direct problem has a unique solution. The conditions under which the unique strict solution can be compared with the case of a mild solution, obtained in previous studies under quite restrictive requirements, are on the underlying functions. Applications from partial differential equations are given to illustrate our abstract results. View Full-Text
Keywords: fractional derivative; abstract Cauchy problem; evolution equation; inverse problem fractional derivative; abstract Cauchy problem; evolution equation; inverse problem
MDPI and ACS Style

Al Horani, M.; Fabrizio, M.; Favini, A.; Tanabe, H. Inverse Problems for Degenerate Fractional Integro-Differential Equations. Mathematics 2020, 8, 532.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Search more from Scilit
Back to TopTop