Existence, uniqueness and matrix-valued fuzzy mittag–leffler–hypergeometric–wright stability for p -hilfer fractional differential equations in matrix-valued fuzzy banach space
Yükleniyor...
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Science and Business Media Deutschland GmbH
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We introduce a new class of fuzzy control functions and define the concept of matrix-valued fuzzy Mittag–Leffler–Hypergeometric–Wright stability. Then, we apply Radu–Mihet method derived from an alternative fixed point theorem to investigate existence, uniqueness and matrix-valued fuzzy Mittag–Leffler–Hypergeometric–Wright stability of a a class of P-Hilfer fractional differential equations in matrix-valued fuzzy Banach space. Next, we show the main results for unbounded domains. An example is given to illustrate the Mittag–Leffler–Hypergeometric–Wright stability for a fractional system. © 2022, The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional.
Açıklama
Anahtar Kelimeler
Existence, Fractional Differential Equation, Fuzzy Set, Hypergeometric Series, Mittag–Leffler Function, MVFB-Space, P-Hilfer Function, Stability, Uniqueness, Wright Function
Kaynak
Computational and Applied Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
41
Sayı
6
Künye
Aderyani, S. R., Saadati, R., & Allahviranloo, T. (2022). Existence, uniqueness and matrix-valued fuzzy Mittag–Leffler–Hypergeometric–Wright stability for P -hilfer fractional differential equations in matrix-valued fuzzy banach space. Computational and Applied Mathematics, 41(6) doi:10.1007/s40314-022-01935-x
