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<p>We define a new Caputo fractional differential equation of higher-order on unbounded interval and we introduce a new family of measures of noncompactness in the regulated functions space on unbounded interval, also a version of fixed point theorem of Darbo’s type. Then we study the existence of solutions of new Caputo fractional differential equation in regulated functions space by using version of Darbo’s fixed point theorem associated with this new measure of noncompactness. An example is given to demonstrate application of our results.</p>

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New fractional differential equation of higher-order on unbounded interval and solvability in regulated functions space

  • 期刊论文

  • 发表日期：

    2025年8月17日

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  • Hojjatollah Amiri Kayvanloo,
  • Farzaneh Pouladi Najafabadi,
  • Mohammad Mursaleen

摘要

We define a new Caputo fractional differential equation of higher-order on unbounded interval and we introduce a new family of measures of noncompactness in the regulated functions space on unbounded interval, also a version of fixed point theorem of Darbo’s type. Then we study the existence of solutions of new Caputo fractional differential equation in regulated functions space by using version of Darbo’s fixed point theorem associated with this new measure of noncompactness. An example is given to demonstrate application of our results.