Two hybrid and non-hybrid k-dimensional inclusion systems via sequential fractional derivatives

Seher Melike Aydogan, Fethiye Muge Sakar, Mostafa Fatehi, Shahram Rezapour*, Hashem Parvaneh Masiha*

*Bu çalışma için yazışmadan sorumlu yazar

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1 Atıf (Scopus)

Özet

Some complicated events can be modeled by systems of differential equations. On the other hand, inclusion systems can describe complex phenomena having some shocks better than the system of differential equations. Also, one of the interests of researchers in this field is an investigation of hybrid systems. In this paper, we study the existence of solutions for hybrid and non-hybrid k-dimensional sequential inclusion systems by considering some integral boundary conditions. In this way, we use different methods such as α-ψ contractions and the endpoint technique. Finally, we present two examples to illustrate our main results.

Orijinal dilİngilizce
Makale numarası449
DergiAdvances in Difference Equations
Hacim2021
Basın numarası1
DOI'lar
Yayın durumuYayınlandı - Ara 2021

Bibliyografik not

Publisher Copyright:
© 2021, The Author(s).

Finansman

The third and fourth authors were supported by Azarbaijan Shahid Madani University. The fifth author was supported by K. N. Toosi University of Technology. The authors express their gratitude to dear unknown referees for their helpful suggestions which improved the final version of this paper.

FinansörlerFinansör numarası
Toosi University of Technology
Azarbaijan Shahid Madani University

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