Existence and uniqueness results for some Caputo–Hadamard fractional differential equations via measures of noncompactness
Turkish Journal of Mathematics, cilt.50, sa.3, ss.407-422, 2026 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 50 Sayı: 3
- Basım Tarihi: 2026
- Doi Numarası: 10.55730/1300-0098.3659
- Dergi Adı: Turkish Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, TR DİZİN (ULAKBİM), Academic Search Ultimate (EBSCO)
- Sayfa Sayıları: ss.407-422
- Anahtar Kelimeler: existence of solutions, fractional functional integro-differential equation, Measures of noncompactness, nonlinear analysis
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
In this paper, the existence of solutions to Caputo–Hadamard fractional differential equations is investigated using measures of noncompactness and the Petryshyn fixed point theorem. Several new results are established, recovering certain earlier results under weaker conditions. Finally, two illustrative examples are presented.