STRONG MAXIMUM PRINCIPLE FOR FRACTIONAL DIFFUSION EQUATIONS AND AN APPLICATION TO AN INVERSE SOURCE PROBLEM Academic Article

abstract

• 2016 Diogenes Co., Sofia. The strong maximum principle is a remarkable property of parabolic equations, which is expected to be partly inherited by fractional diffusion equations. Based on the corresponding weak maximum principle, in this paper we establish a strong maximum principle for time-fractional diffusion equations with Caputo derivatives, which is slightly weaker than that for the parabolic case. As a direct application, we give a uniqueness result for a related inverse source problem on the determination of the temporal component of the inhomogeneous term.

authors

• Rundell, William

published proceedings

• FRACTIONAL CALCULUS AND APPLIED ANALYSIS

altmetric score

• 0.5

author list (cited authors)

• Liu, Y., Rundell, W., & Yamamoto, M.

citation count

• 81

complete list of authors

• Liu, Yikan||Rundell, William||Yamamoto, Masahiro

publication date

• January 2016

publisher

• Springer Nature  Publisher

published in

• Journal of Fractional Calculus and Applied Analysis  Journal

keywords

• Caputo Derivative
• Fractional Diffusion Equation
• Fractional Duhamel's Principle
• Inverse Source Problem
• Mittag-leffler Function
• Strong Maximum Principle

Digital Object Identifier (DOI)

• 10.1515/fca-2016-0048

start page

• 888

end page

• 906

volume

• 19

issue

• 4

URL

• http%3A%2F%2Fdx.doi.org%2F10.1515%2Ffca-2016-0048