Maximal Lp−regularity of two–term fractional differential equations with boundary conditions

Şahmurov V., Karaaslan M. F., Kurulay M.

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, cilt.14, sa.2, ss.1-14, 2023 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2023
  • Dergi Adı: TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.1-14
  • Marmara Üniversitesi Adresli: Evet

Özet

In this paper, we consider two-term fractional differential equations (FDEs) with boundary conditions. We use operator techniques including Fourier multipliers, perturbation theory of operators, the trace theorem, and Green's functions to establish maximal regularity of three types of FDEs with nonlocal or Dirichlet boundary conditions in Lp-space. As an application, the existence-uniqueness and coercive estimate of the Cauchy problem for fractional parabolic differential equation are given.