Journal of Applied and Pure Mathematics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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CAPUTO-FABRIZIO FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS VIA NEW DHAGE ITERATION METHOD

  • NADIA BENKHETTOU (Laboratory of Bio-Mathematics, Djillali Liabes University of Sidi Bel-Abbes) ;
  • ABDELKRIM SALIM (Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, Faculty of Technology, Hassiba Benbouali University) ;
  • JAMAL EDDINE LAZREG (Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes) ;
  • SAID ABBAS (Department of Electronics, University of Saida-Dr. Moulay Tahar) ;
  • MOUFFAK BENCHOHRA (Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes)
  • Received : 2023.03.01
  • Accepted : 2023.04.27
  • Published : 2023.07.30
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Abstract

In this paper, we study the following hybrid Caputo-Fabrizio fractional differential equation: 𝐶𝓕α𝕯θϑ [ω(ϑ) - 𝕱(ϑ, ω(ϑ))] = 𝕲(ϑ, ω(ϑ)), ϑ ∈ 𝕵 := [a, b], ω(α) = 𝜑α ∈ ℝ, The result is based on a Dhage fixed point theorem in Banach algebra. Further, an example is provided for the justification of our main result.

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References

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