Weak Wardowski contractive multivalued mappings and solvability of generalized phi-Caputo fractional snap boundary inclusions
Articles
Hossein Jafari
University of Mazandaran
https://orcid.org/0000-0001-6807-6675
Babak Mohammadi
Islamic Azad University
Vahid Parvaneh
Islamic Azad University
https://orcid.org/0000-0002-3820-3351
Mohammad Mursaleen
https://orcid.org/0000-0003-4128-0427
Published 2023-06-30
https://doi.org/10.15388/namc.2023.28.32142
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Keywords

weak Wardowski contractions
multivalued mapping
contractive mapping
phi-Caputo integral
fractional derivative
snap boundary inclusions

How to Cite

Jafari, H. (2023) “Weak Wardowski contractive multivalued mappings and solvability of generalized phi-Caputo fractional snap boundary inclusions”, Nonlinear Analysis: Modelling and Control, 28(5), pp. 825–840. doi:10.15388/namc.2023.28.32142.

Abstract

In this paper, we introduce the notion of weak Wardowski contractive multivalued mappings and investigate the solvability of generalized '-Caputo snap boundary fractional differential inclusions. Our results utilize some existing results regarding snap boundary fractional differential inclusions. An example is given to illustrate the applicability of our main results.

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