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http://dx.doi.org/10.4134/CKMS.c210095

FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS  

Soenjaya, Agus L. (Pre-University Mathematics Department Merlion School)
Publication Information
Communications of the Korean Mathematical Society / v.37, no.2, 2022 , pp. 497-502 More about this Journal
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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