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Fractional differential equations with nonlocal boundary conditions

Agus L. Soenjaya
대한수학회 (The Korean Mathematical Society)|2022.04|대한수학회논문집 (Communications of the KMS)|제37권 제2호|pp. 497-502|DOI 10.4134/CKMS.c210095

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참고문헌

키워드

Fractional differential equationsexistence and uniquenessnonlocal conditionsfunctional boundary value
주제분류수학

초록

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.

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.

참고문헌 (11)

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