EXISTENCE OF SOLUTIONS FOR 2D NONLINEAR FRACTIONAL VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACE

Saini P., ÇAKAN Ü., Deep A.

Rocky Mountain Journal of Mathematics, cilt.53, sa.6, ss.1965-1981, 2023 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 6
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1216/rmj.2023.53.1965
  • Dergi Adı: Rocky Mountain Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.1965-1981
  • Anahtar Kelimeler: fixed-point theorem, fractional integral equation, measure of noncompactness
  • İnönü Üniversitesi Adresli: Evet

Özet

We study the existence of solutions for 2D fractional Volterra integral equations, using Petryshyn's fixed-point theoremãnd measures of noncompactness in the Banach space C([0,ã] × [0, b],R). Our results generalize results gained from earlier studies under some weaker conditions. We present some examplesãpplying our results.