A cotangent fractional Gronwall inequality with applications
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Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This article presents the cotangent fractional Gronwall inequality, a novel understanding of the Gronwall inequality within the context of the cotangent fractional derivative. We furnish an explanation of the cotangent fractional derivative and emphasize a selection of its distinct characteristics before delving into the primary findings. We present the cotangent fractional Gronwall inequality (Lemma 3.1) and a Corollary 3.2 using the Mittag-Leffler function, we establish singularity and compute an upper limit employing the Mittag-Leffler function for solutions in a nonlinear delayed cotangent fractional system, illustrating its practical utility. To underscore the real -world relevance of the theory, a tangible instance is given.
Açıklama
Anahtar Kelimeler
cotangent fractional derivative, delay cotangent fractional equation, cotangent fractional Gronwall inequality, bound for the solution, uniqueness of solution
Kaynak
Aims Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
9
Sayı
4
