Geodesic
Existence of solution for some φ-Caputo fractional differential inclusions via Wardowski-Mizoguchi-Takahashi multi-valued contractions
Filomat, Tome 37 (2023) no. 12, p. 3777

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DOI

In this study, we examine the existence of solution for some φ-Caputo fractional differential inclusions with arbitrary coefficients with boundary values using Wardowski-Mizoguchi-Takahashi multi-valued contractions. Our results utilize some existence results regarding φ-Caputo fractional differential inclusions, in particular the results of Belmor et al. (2021). Our key findings are illustrated with an example.
DOI : 10.2298/FIL2312777M
Classification : 45G05, 47H08, 47H09, 47H10
Keywords: φ-Caputo fractional differential inclusions, Wardowski-Mizoguchi-Takahashi contractions, multi-valued contractions, Measure of non-compactness, Fixed point theorem 
Babak Mohammadi; Marija Paunović; Vahid Parvanah; Mohammad Mursaleen. Existence of solution for some φ-Caputo fractional differential inclusions via Wardowski-Mizoguchi-Takahashi multi-valued contractions. Filomat, Tome 37 (2023) no. 12, p. 3777 . doi: 10.2298/FIL2312777M
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     author = {Babak Mohammadi and Marija Paunovi\'c and Vahid Parvanah and Mohammad Mursaleen},
     title = {Existence of solution for some {\ensuremath{\varphi}-Caputo} fractional differential inclusions via {Wardowski-Mizoguchi-Takahashi} multi-valued contractions},
     journal = {Filomat},
     pages = {3777 },
     year = {2023},
     volume = {37},
     number = {12},
     doi = {10.2298/FIL2312777M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2312777M/}
}
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