Boundary value problems of higher order fractional integro-differential equations involving Gronwall's inequality in Banach spaces
Makaleler > Tam Makale · 2023
Yazarlar: KULANDHIVEL KARTHIKEYAN, Özgür EGE
Miskolc Mathematical Notes, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Scopus, 2023, cilt 24, ss 805-805
Özet
Using the Caputo derivative of order q ∈ (α -1, α), we examine boundary value problems for fractional integro-differential equations in Banach spaces.Using an a priori estimate technique, the Holder's inequality, a suitable singular Gronwall's inequality, and the fixed point theorem are utilised to prove the existence and uniqueness of solutions.