| Title of paper:
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Intuitionistic fuzzy evolution problem with nonlocal conditions
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| Author(s):
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| Hamid Sadiki
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| Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, 23000, Beni Mellal, Morocco
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| h.sadiki@usms.ma
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| Khadija Oufkir
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| Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, 23000, Beni Mellal, Morocco
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| oufkirkhadijabzou@gmail.com
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| Said Melliani
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| Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, 23000, Beni Mellal, Morocco
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| s.melliani@usms.ma
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| M'hamed El Omari
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| Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, 23000, Beni Mellal, Morocco
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| m.elomari@usms.ma
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 3, pages 215–229
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| DOI:
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https://doi.org/10.7546/nifs.2024.30.3.215-229
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| Download:
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 PDF (264 Kb, File info)
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| Abstract:
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In this manuscript, we investigate the existence and uniqueness of solutions for the intuitionistic fuzzy evolution problem with non-local conditions, employing a generalized Caputo derivative [math]\displaystyle{ ^C_{gH}D_{0^+}^{\gamma} }[/math] of order [math]\displaystyle{ 0 \lt \gamma \lt 1 }[/math]. Our methodology involves utilizing the intuitionistic fuzzy semigroup and the concept of contraction mapping.
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| Keywords:
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Generalized intuitionistic fuzzy Caputo derivative, Intuitionistic fuzzy fractional evolution problem, Intuitionistic fuzzy semi-group, Mean-square calculus.
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| AMS Classification:
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03E72, 08A72.
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| References:
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