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Weighted Weakly Singular Integral Inequalities: New Explicit Bounds and Applications in Fractional Dfferential Equations

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  • Salah Boulares
  • Djalal Boucenna
  • Mohamed Rhaima
  • Lassaad Mchiri
  • Abdellatif Ben Makhlouf

Abstract

This study delves into the formulation of innovative integral inequalities, specifically designed to accommodate weakly singular singularities, thus significantly broadening the scope of previously established ones. The methodology employed centers around the application of weighted fractional differential equations, leading to the derivation of a diverse array of practical applications for fractional differential equations, all contextualized within the framework of Caputo.

Suggested Citation

  • Salah Boulares & Djalal Boucenna & Mohamed Rhaima & Lassaad Mchiri & Abdellatif Ben Makhlouf, 2025. "Weighted Weakly Singular Integral Inequalities: New Explicit Bounds and Applications in Fractional Dfferential Equations," Journal of Mathematics, Hindawi, vol. 2025, pages 1-12, February.
    • Handle: RePEc:hin:jjmath:8311840
    DOI: 10.1155/jom/8311840
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