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<p>This study investigates a class of <i>p</i>-Laplacian hybrid fractional differential equations involving the <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\((k,\psi )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>k</mi> <mo>,</mo> <mi>ψ</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-Caputo proportional fractional derivative. The existence of solutions is established using a hybrid fixed-point theorem for three operators in a Banach algebra, together with fractional calculus approaches. An illustrative example is also provided to highlight the applicability of the theoretical results.</p>

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EXISTENCE RESULTS FOR p-LAPLACIAN HYBRID FRACTIONAL EQUATIONS WITH \((k, \psi )\)-CAPUTO PROPORTIONAL FRACTIONAL DERIVATIVE

  • 期刊论文

  • 发表日期：

    2026年7月10日

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  • Mehdi Selmani,
  • Chahrazed Harrat,
  • Selma Gülyaz Özyurt

摘要

This study investigates a class of p-Laplacian hybrid fractional differential equations involving the \((k,\psi )\) ( k , ψ ) -Caputo proportional fractional derivative. The existence of solutions is established using a hybrid fixed-point theorem for three operators in a Banach algebra, together with fractional calculus approaches. An illustrative example is also provided to highlight the applicability of the theoretical results.