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

Kaid, Mohammed; Melha, Khellaf; Samei, Mohammad; Thabet, Sabri; Moulahi, Taoufik; Abdeljawad, THABET

doi:10.1155/cmm4/2415286

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)

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.