Representation of Fractional Operators Using the Theory of Functional Connections

• Published in: Mathematics (Basel) Vol. 11; no. 23; p. 4772
• Main Author: Mortari, Daniele
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.12.2023
• Subjects: Boundary conditions; Constraints; Derivatives; Fractional calculus; fractional derivative; fractional integral; Functional analysis; functional interpolation; Infinite series; Integers; Integrals; Methods; Mittag–Leffler function; Operator theory; Operators (mathematics); Tests, problems and exercises; United States

This work considers fractional operators (derivatives and integrals) as surfaces f(x,α) subject to the function constraints defined by integer operators, which is a mandatory requirement of any fractional operator definition. In this respect, the problem can be seen as the problem of generating a su...