JOURNAL ARTICLE

NOVEL CHEBYSHEV-TYPE INEQUALITIES FOR THE GENERAL FRACTIONAL-ORDER INTEGRALS WITH THE RABOTNOV FRACTIONAL EXPONENTIAL KERNEL.

  • Published In: Fractals, 2023, v. 31, n. 9. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: GENG, LU-LU; YANG, XIAO-JUN 3 of 3

Abstract

In this paper, we first propose two Chebyshev-type inequalities associated with the general fractional-order (Yang–Abdel–Aty–Cattani) integrals with the Rabotnov fractional-exponential kernel under the condition that μ and ν are synchronous functions. What is more, by the mathematical induction, we prove a new Chebyshev-type inequality in the case that (μ i) i = 1 , ... , n be n positive increasing functions. Finally, we introduce a novel Chebyshev-type inequality via the general fractional-order integrals with the Rabotnov fractional-exponential kernel under the condition that μ and ν are monotonic functions. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Fractals. 2023/09, Vol. 31, Issue 9, p1
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2023
  • ISSN:0218-348X
  • DOI:10.1142/S0218348X23501268
  • Accession Number:173969361
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