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Higher-order fractional Green and Gauss formulas

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Publication:1754571
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DOI10.1016/j.jmaa.2018.01.074zbMath1390.26008OpenAlexW2791770247MaRDI QIDQ1754571

Weizhong Dai, Jin-Fa Cheng

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.01.074


zbMATH Keywords

Caputo's fractional derivativeGreen's formulaGauss's formula


Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)


Related Items (1)

Fractional sum and fractional difference on non-uniform lattices and analogue of Euler and Cauchy beta formulas



Cites Work

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  • Generalized Taylor's formula
  • Non-standard extensions of gradient elasticity: fractional non-locality, memory and fractality
  • Fractional vector calculus and fractional Maxwell's equations
  • On a Riemann-Liouville generalized Taylor's formula
  • Toward lattice fractional vector calculus
  • Long way from the FPU-problem to chaos
  • Analysis of fractional differential equations


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