Solvability of an infinite system of fractional differential equations with p-Laplacian operator in a new tempered sequence space

Mursaleen M., SAVAŞ E.

Journal of Pseudo-Differential Operators and Applications, cilt.14, sa.4, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s11868-023-00552-4
  • Dergi Adı: Journal of Pseudo-Differential Operators and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: Darbo-type fixed point theorem, Fractional calculus, Measure of noncompactness, p-Laplacian operator, Tempered spaces
  • Uşak Üniversitesi Adresli: Evet

Özet

In this article, an infinite system of three point boundary value problem of p-Laplacian operator is considered for the existence of solution in a new sequence space related to the tempered sequence space ℓpα,p≥ 1 , via the technique of the Hausdorff measure of noncompactness. To illustrate our new results in tempered sequence spaces, we provide a numerical example.