Monotone iterative technique for weighted fractional semilinear evolution equations in Banach spaces

Benyoub M., Khuddush M., Özyurt S.

Filomat, cilt.38, sa.22, ss.7859-7870, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 22
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2422859b
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.7859-7870
  • Anahtar Kelimeler: Fractional evolution equations, Lower and upper solutions, Measure of noncompactness, Mild solution, Riemann-Liouville fractional derivatives
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

This paper discusses the existence of mild solutions for Riemann-Liouville fractional semilinear evolution equations in an ordered Banach space. Under some monotonicity conditions and noncompactness measure method in the weighted space of continuous functions, we prove that the functional sequences are convergent and that their limits are maximal and minimal mild solutions of the considered problem. An example to illustrate the applications of the main results is given.