Nonlocal integro-multistrip-multipoint boundary value problems for $ \overline{\psi}_{*} $-Hilfer proportional fractional differential equations and inclusions

Autor: Sotiris K. Ntouyas, Bashir Ahmad, Jessada Tariboon
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 6, Pp 14086-14110 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023720?viewType=HTML
Popis: In the present paper, we establish the existence criteria for solutions of single valued and multivalued boundary value problems involving a $ \overline{\psi}_{*} $-Hilfer fractional proportional derivative operator, subject to nonlocal integro-multistrip-multipoint boundary conditions. We apply the fixed-point approach to obtain the desired results for the given problems. The obtained results are well-illustrated by numerical examples. It is important to mention that several new results appear as special cases of the results derived in this paper (for details, see the last section).
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