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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jin Liang & Yunyi Mu, 2019. "Properties for ψ -Fractional Integrals Involving a General Function ψ and Applications," Mathematics, MDPI, vol. 7(6), pages 1-13, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:517-:d:237709
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