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Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations

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  • Abdellatif Ben Makhlouf
  • Djalal Boucenna
  • A.M. Nagy
  • Lassaad Mchiri
  • Ching-Feng Wen

Abstract

In this paper, we establish several new weakly singular integral inequalities that generalize several previously known ones. Several applications for fractional differential equations in the Caputo context have been derived using tempered fractional differential equations.

Suggested Citation

  • Abdellatif Ben Makhlouf & Djalal Boucenna & A.M. Nagy & Lassaad Mchiri & Ching-Feng Wen, 2022. "Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations," Journal of Mathematics, Hindawi, vol. 2022, pages 1-9, April.
    • Handle: RePEc:hin:jjmath:1682942
    DOI: 10.1155/2022/1682942
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    Cited by:

    1. Omar Kahouli & Djalal Boucenna & Abdellatif Ben Makhlouf & Ymnah Alruwaily, 2022. "Some New Weakly Singular Integral Inequalities with Applications to Differential Equations in Frame of Tempered χ -Fractional Derivatives," Mathematics, MDPI, vol. 10(20), pages 1-12, October.

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