Existence and uniqueness for fractional order functional differential equations with Hilfer derivative

IF 0.7 Q3 MATHEMATICS, APPLIED Differential Equations & Applications Pub Date : 2020-01-01 DOI:10.7153/dea-2020-12-21
F. Karakoç
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引用次数: 5

Abstract

. We investigate fractional order delay and neutral differential equations. By using Ba- nach fi xed point theorem we establish existence and uniqueness of the solutions for fractional order functional differential equations involving Hilfer fractional derivative in the weighted spaces.
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具有Hilfer导数的分数阶泛函微分方程的存在唯一性
. 研究了分数阶时滞和中立型微分方程。利用Ba- nach不动点定理,建立了包含Hilfer分数阶导数的分数阶泛函微分方程在加权空间上解的存在唯一性。
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