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

doi:10.1186/s13662-021-03606-3

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^*

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Article number	449
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-021-03606-3
Publication status	Published - Dec 2021

Bibliographical note

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

Funding

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.

Funders	Funder number
Toosi University of Technology
Azarbaijan Shahid Madani University

Keywords

Endpoint
Inclusion system
Sequential hybrid inclusion problem
The Caputo derivative
α-ψ-contraction

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10.1186/s13662-021-03606-3

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AU - Masiha, Hashem Parvaneh

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KW - Inclusion system

KW - Sequential hybrid inclusion problem

KW - The Caputo derivative

KW - α-ψ-contraction

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ER -

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

Abstract

Bibliographical note

Funding

Keywords

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