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In this chapter the study with the applications of fixed point results for delay fractional differential equations and inclusions involving Caputo-Fabrizio operator of order \(1<\varkappa \le 2\) is presented. Schauder-type fixed point theorem is applied to obtain the existence results. Banach Contraction principle is used to find the uniqueness of the solution. The Hyers-Ulam stability is also investigated for delay fractional differential equations. For the solutions of the delay fractional differential inclusions, we have used Bohnenblust-Karlin’s theorem. In the last, examples are furnished to illustrate our results.

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Applications of Fixed Points for Delay Fractional Differential Equations and Inclusions Involving Fractional Operators

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  • 发表日期：

    2026年

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  • Ahsan Abbas,
  • Akbar Azam,
  • Nayyar Mehmood

摘要

In this chapter the study with the applications of fixed point results for delay fractional differential equations and inclusions involving Caputo-Fabrizio operator of order \(1<\varkappa \le 2\) is presented. Schauder-type fixed point theorem is applied to obtain the existence results. Banach Contraction principle is used to find the uniqueness of the solution. The Hyers-Ulam stability is also investigated for delay fractional differential equations. For the solutions of the delay fractional differential inclusions, we have used Bohnenblust-Karlin’s theorem. In the last, examples are furnished to illustrate our results.