On the Solution Structure of Sequential φ-Hilfer Fractional Differential Equations With p-Laplacian Operator

Kaid M., Melha K. O., Samei M. E., Thabet S. T. M., Moulahi T., Abdeljawad T.

Computational and Mathematical Methods, cilt.2026, sa.1, 2026 (ESCI, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2026 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1155/cmm4/2415286
  • Dergi Adı: Computational and Mathematical Methods
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: fractional integral, p-Laplacian operator fixed-point method, solution and uniqueness, φ-Hilfer fractional derivative
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

This work researches in a class of φ-Hilfer (Formula presented.) s with p-Laplacian operator by evolving an appropriate analytical framework. We demonstrate the existence and uniqueness of solutions utilizing Banach′s fixed-point theorem. Subsequently, an alternative theorem is applied to verify the existence of at least a single solution. In addition to the theoretical analysis, we provide demonstrative examples to confirm the development of the solution.