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

Jin Liang and Yunyi Mu
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Jin Liang: School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China
Yunyi Mu: School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China

Mathematics, 2019, vol. 7, issue 6, 1-13

Abstract: 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.

Keywords: fractional calculus; ? -fractional integrals; fractional differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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