Scholarlink

<p>This study investigates the existence and uniqueness of mild solutions for fractional differential equations involving the Hilfer-Katugampola fractional derivative with almost sectorial operators. The analysis is carried out using fractional calculus, semigroup theory, the Laplace transform, and the M<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11785_2025_1850_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="10" /> </InlineMediaObject> <EquationSource Format="TEX">\(\ddot{\text {o}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mover accent="true"> <mtext>o</mtext> <mo>¨</mo> </mover> </math></EquationSource> </InlineEquation>nch fixed point theorem. The proposed approach provides a unified framework for analyzing a broad class of fractional systems and offers deeper insight into the qualitative behavior of their solutions. An example is included to illustrate the applicability and significance of the obtained results.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Existence and Uniqueness of Hilfer-Katugampola Fractional Differential Equations with Almost Sectorial Operators

  • 期刊论文

  • 发表日期：

    2025年10月25日

查看全文
  • R. Hariharan,
  • M. Saradha,
  • M. Sathish Kumar,
  • R. Udhayakumar

摘要

This study investigates the existence and uniqueness of mild solutions for fractional differential equations involving the Hilfer-Katugampola fractional derivative with almost sectorial operators. The analysis is carried out using fractional calculus, semigroup theory, the Laplace transform, and the M \(\ddot{\text {o}}\) o ¨ nch fixed point theorem. The proposed approach provides a unified framework for analyzing a broad class of fractional systems and offers deeper insight into the qualitative behavior of their solutions. An example is included to illustrate the applicability and significance of the obtained results.