Fractional differential equations with nonlocal boundary conditions
Commun. Korean Math. Soc. 2022 Vol. 37, No. 2, 497-502
https://doi.org/10.4134/CKMS.c210095
Published online March 29, 2022
Printed April 30, 2022
Agus L. Soenjaya
Merlion School
Abstract : 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
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