A THEORETICAL ANALYSIS ON THE FRACTIONAL FUZZY CONTROLLED EVOLUTION EQUATION

Saleem N., Shafqat R., George R., Hussain A., Yaseen M.

Fractals, cilt.31, sa.10, 2023 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 10
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1142/s0218348x2340090x
  • Dergi Adı: Fractals
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Compendex, INSPEC, zbMATH, DIALNET, Civil Engineering Abstracts
  • Anahtar Kelimeler: Existence, Fractional Evolution Equations, Fuzzy Neutral Differential Equation, Fuzzy Semigroup, Generator of a Fuzzy Semigroup, Mild Solution
  • Uşak Üniversitesi Adresli: Hayır

Özet

This paper designates two important properties of the existence-uniqueness of the mild solution for a fractional controlled fuzzy evolution equation involving the Caputo-derivative by using nonlocal conditions, where β ∈ (1, 2), and it is formulated as (Formula Presented) where A is a strongly continuous fuzzy semigroup’s generator. Furthermore, many numerical solutions have been presented to ensure that key results are accurate and reliable. Finally, an example about fuzzy fractional evolution equations is presented.