SOLVABILITY FOR FRACTIONAL INTEGRAL EQUATIONS VIA PETRYSHYN’S FIXED-POINT THEOREM

Deep A., Saini D., Singh H. K., ÇAKAN Ü.

Journal of Integral Equations and Applications, cilt.35, sa.3, ss.277-289, 2023 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1216/jie.2023.35.277
  • Dergi Adı: Journal of Integral Equations and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.277-289
  • Anahtar Kelimeler: fixed-point theorem, fractional integral equations, measure of noncompactness
  • İnönü Üniversitesi Adresli: Evet

Özet

We examine the solvability of fractional integral equations using the techniques of measure of noncompactness and the Petryshyn’s fixed-point theorem in Banach space concerning the Riemann-Liouville integral operator. The results obtained in this paper cover some earlier results obtained by numerous authors under weaker conditions. In the end, two applications are given to illustrate the major result.