Some inequalities on multi-functions for applying in the fractional Caputo-Hadamard jerk inclusion system

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Etemad S., Iqbal I., Samei M. E., Rezapour S., Alzabut J., Sudsutad W., ...Daha Fazla

JOURNAL OF INEQUALITIES AND APPLICATIONS, cilt.2022, sa.1, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2022 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1186/s13660-022-02819-8
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: phi-psi-contraction, Caputo-Hadamard derivative, End point, Fixed point, Jerk equation, Multi-function, DIFFERENTIAL-EQUATIONS, COUPLED SYSTEM
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

Results reported in this paper establish the existence of solutions for a class of generalized fractional inclusions based on the Caputo-Hadamard jerk system. Under some inequalities between multi-functions and with the help of special contractions and admissible maps, we investigate the existence criteria. Fixed points and end points are key roles in this manuscript, and the approximate property for end points helps us to derive the desired result for existence theory. An example is prepared to demonstrate the consistency and correctness of analytical findings.