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, vol.14, no.4, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 4
  • Publication Date: 2023
  • Doi Number: 10.1007/s11868-023-00552-4
  • Journal Name: Journal of Pseudo-Differential Operators and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Keywords: Darbo-type fixed point theorem, Fractional calculus, Measure of noncompactness, p-Laplacian operator, Tempered spaces
  • Uşak University Affiliated: Yes

Abstract

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.