EXAMINATION OF AN ANALOGOUS HYBRID-TYPE FRACTIONAL DIFFERENTIAL PROBLEM UNDER NONSINGULAR KERNEL

Sher M., Shah K., Sarwar M., Hleili M., Abdalla B., Abdeljawad T., ...Daha Fazla

Fractals, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1142/s0218348x25402637
  • Dergi Adı: Fractals
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, zbMATH
  • Anahtar Kelimeler: Exponential Kernel-Type Operators, Numerical Tools, Theory and Analysis
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

A class of hybrid fractional differential equations is the subject of the current investigation. Differential operator with Mittag-Leffler-type kernel is used. Proportional delay, a crucial component in electrodynamics and infectious illnesses, is included in the problem. Several factors, including qualitative analyses, Ulam–Hyer-type stability, and a general numerical scheme, have been taken into consideration for the suggested problem. We used functional analysis concepts, in particular the theory of fixed points, to general analysis. Lagrange’s interpolation approach, an existence methodology, has been used to study numerical aspect of the considered model. By using the adopted results, an example is studied at the conclusion to support the proposed theory.