Commun. Korean Math. Soc. 2022; 37(2): 497-502
Online first article March 29, 2022 Printed April 30, 2022
https://doi.org/10.4134/CKMS.c210095
Copyright © The Korean Mathematical Society.
Agus L. Soenjaya
Merlion School
Existence and uniqueness for fractional differential equations satisfying a general nonlocal initial or boundary condition are proven by means of Schauder's fixed point theorem. The nonlocal condition is given as an integral with respect to a signed measure, and includes the standard initial value condition and multi-point boundary value condition.
Keywords: Fractional differential equations, nonlocal conditions, functional boundary value, existence and uniqueness
MSC numbers: Primary 34A08, 34A12, 34K05
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