MMN-4049
Boundary value problems of higher order fractional integro-differential equations involving Gronwall's inequality in Banach spaces
Kulandhivel Karthikeyan; Ozgur Ege;Abstract
Using the Caputo derivative of order $q \in (\alpha-1,\alpha)$, 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.
Vol. 24 (2023), No. 2, pp. 805-818
DOI: 10.18514/MMN.2023.4049