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Some New Types Of Gronwall-Bellman Inequality On Fractal Set

Author

Listed:
  • GUOTAO WANG

    (School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan, Shanxi 030000, P. R. China)

  • RONG LIU

    (School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan, Shanxi 030000, P. R. China)

Abstract

Gronwall–Bellman-type inequalities provide a very effective way to investigate the qualitative and quantitative properties of solutions of nonlinear integral and differential equations. In recent years, local fractional calculus has attracted the attention of many researchers. In this paper, based on the basic knowledge of local fractional calculus and the method of proving inequality on the set of real numbers, some new Gronwall–Bellman inequalities are discussed and established on the fractal space. Our results are a powerful supplement to the existing literature.

Suggested Citation

  • Guotao Wang & Rong Liu, 2024. "Some New Types Of Gronwall-Bellman Inequality On Fractal Set," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(04), pages 1-6.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:04:n:s0218348x2340114x
    DOI: 10.1142/S0218348X2340114X
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