Solvability of fractional integral equations by a family of measures of noncompactness in Fréchet algebra C(R+,C(J))

Amiri Kayvanloo, Hojjatollah; Mehravaran, Hamid; SAVAŞ, EKREM; Mursaleen, Mohammad

doi:10.1016/j.cam.2026.117425

Solvability of fractional integral equations by a family of measures of noncompactness in Fréchet algebra C(R+,C(J))

Amiri Kayvanloo H., Mehravaran H., SAVAŞ E., Mursaleen M.

Journal of Computational and Applied Mathematics, cilt.484, 2026 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 484
Basım Tarihi: 2026
Doi Numarası: 10.1016/j.cam.2026.117425
Dergi Adı: Journal of Computational and Applied Mathematics
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
Anahtar Kelimeler: Fixed point theorem, Fractional differential equation, Fréchet algebras, Measures of noncompactness
Uşak Üniversitesi Adresli: Evet

Özet

We define the Fre´chet algebra C(R+,C(J)) and we introduce a new family of measures of noncompactness and a fixed point theorem that generalizes the Darbo's fixed point theorem in this space. By applying the technique of measures of noncompactness and new fixed point theorem, we investigate the existence of solutions of a nonlinear fractional integral equations. Some examples are provided to support our main results.