Condensing functions and approximate endpoint criterion for the existence analysis of quantum integro-difference fbvps

Rezapour S., Imran A., Hussain A., Martínez F., Etemad S., Kaabar M. K. A.

Symmetry, cilt.13, sa.3, 2021 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3390/sym13030469
  • Dergi Adı: Symmetry
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: Approximate endpoint criterion, Condensing function, Existence, Quantum integro-difference BVP
  • Uşak Üniversitesi Adresli: Hayır

Özet

A nonlinear quantum boundary value problem (q-FBVP) formulated in the sense of quantum Caputo derivative, with fractional q-integro-difference conditions along with its fractional quantum-difference inclusion q-BVP are investigated in this research. To prove the solutions’ existence for these quantum systems, we rely on the notions such as the condensing functions and approximate endpoint criterion (AEPC). Two numerical examples are provided to apply and validate our main results in this research work.