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Article

Properties for ψ-Fractional Integrals Involving a General Function ψ and Applications

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School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China
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Author to whom correspondence should be addressed.
Mathematics 2019, 7(6), 517; https://doi.org/10.3390/math7060517
Received: 28 April 2019 / Revised: 30 May 2019 / Accepted: 5 June 2019 / Published: 6 June 2019
(This article belongs to the Special Issue Applied Functional Analysis and Its Applications)
In this paper, we are concerned with the ψ-fractional integrals, which is a generalization of the well-known Riemann–Liouville fractional integrals and the Hadamard fractional integrals, and are useful in the study of various fractional integral equations, fractional differential equations, and fractional integrodifferential equations. Our main goal is to present some new properties for ψ-fractional integrals involving a general function ψ by establishing several new equalities for the ψ-fractional integrals. We also give two applications of our new equalities. View Full-Text
Keywords: fractional calculus; ψ-fractional integrals; fractional differential equations fractional calculus; ψ-fractional integrals; fractional differential equations
MDPI and ACS Style

Liang, J.; Mu, Y. Properties for ψ-Fractional Integrals Involving a General Function ψ and Applications. Mathematics 2019, 7, 517. https://doi.org/10.3390/math7060517

AMA Style

Liang J, Mu Y. Properties for ψ-Fractional Integrals Involving a General Function ψ and Applications. Mathematics. 2019; 7(6):517. https://doi.org/10.3390/math7060517

Chicago/Turabian Style

Liang, Jin, and Yunyi Mu. 2019. "Properties for ψ-Fractional Integrals Involving a General Function ψ and Applications" Mathematics 7, no. 6: 517. https://doi.org/10.3390/math7060517

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