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<p>This article deals with some new types of Darbo’s fixed point theorems by using freshly constructed operator type contraction mappings and the existence of solutions of a system of fractional hybrid-differential equations in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\textsf{C}([0,X])\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="sans-serif">C</mi> <mo stretchy="false">(</mo> <mo stretchy="false">[</mo> <mn>0</mn> <mo>,</mo> <mi>X</mi> <mo stretchy="false">]</mo> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> space with the help of newly generalized Darbo’s fixed point theorems. Finally at the end, two appropriate examples are included to validate the obtained results.</p>

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An analysis on solutions of a system of fractional hybrid-differential equations in Banach space via new Darbo’s fixed point theorem

  • 期刊论文

  • 发表日期：

    2026年3月9日

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  • Sudip Deb,
  • Anupam Das

摘要

This article deals with some new types of Darbo’s fixed point theorems by using freshly constructed operator type contraction mappings and the existence of solutions of a system of fractional hybrid-differential equations in \(\textsf{C}([0,X])\) C ( [ 0 , X ] ) space with the help of newly generalized Darbo’s fixed point theorems. Finally at the end, two appropriate examples are included to validate the obtained results.