Properties for ψ-Fractional Integrals Involving a General Function ψ and Applications
School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China
Author to whom correspondence should be addressed.
Received: 28 April 2019 / Revised: 30 May 2019 / Accepted: 5 June 2019 / Published: 6 June 2019
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In this paper, we are concerned with the
-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
-fractional integrals involving a general function
by establishing several new equalities for the
-fractional integrals. We also give two applications of our new equalities.
This is an open access article distributed under the Creative Commons Attribution License
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MDPI and ACS Style
Liang, J.; Mu, Y. Properties for ψ-Fractional Integrals Involving a General Function ψ and Applications. Mathematics 2019, 7, 517.
Liang J, Mu Y. Properties for ψ-Fractional Integrals Involving a General Function ψ and Applications. Mathematics. 2019; 7(6):517.
Liang, Jin; Mu, Yunyi. 2019. "Properties for ψ-Fractional Integrals Involving a General Function ψ and Applications." Mathematics 7, no. 6: 517.
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