Some properties of solutions of a linear set-valued differential equation with conformable fractional derivative

Tatyana A. Komleva; Andrej V. Plotnikov; Natalia V. Skripnik

doi:10.56754/0719-0646.2602.191

DOI:

https://doi.org/10.56754/0719-0646.2602.191

Abstract

The article explores a linear set-valued differential equation featuring both conformable fractional and generalized conformable fractional derivatives. It presents conditions for the existence of solutions and provides analytical expressions for the shape of solution sections at different time points. Model examples are employed to illustrate the results.

Keywords

Conformable fractional derivative , set-valued differential equation , Hukuhara derivative , generalized derivative

Mathematics Subject Classification:

26A33 , 34K37 , 26E25 , 34A08 , 34A30

Tatyana A. Komleva Odessa State Academy of Civil Engineering and Architecture, Didrihsona str. 4, 65029 Odessa, Ukraine. https://orcid.org/0000-0001-5970-6241
Andrej V. Plotnikov Odessa State Academy of Civil Engineering and Architecture, Didrihsona str. 4, 65029 Odessa, Ukraine. https://orcid.org/0000-0002-7864-0732
Natalia V. Skripnik Odessa I.I. Mechnikov National University, Dvoryanskaya str. 2, 65082 Odessa, Ukraine. https://orcid.org/0000-0002-3333-7553

Pages: 191–215
Date Published: 2024-06-26
Vol. 26 No. 2 (2024)

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