Mild solutions of Riemann–Liouville fractional differential equations with fractional impulses

Mild solutions of Riemann–Liouville fractional differential equations with fractional impulses

We consider Riemann–Liouville fractional differential equations with fractional-order derivative in the impulsive conditions. We study the existence of the mild solution by applying the Laplace transform method and (a,k)-regularized resolvent operator. We use the contraction mapping principle and f...

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Bibliographic Details
Main Authors: Annamalai Anguraj, Subramaniam Kanjanadevi, Juan Jose Nieto
Format: Article
Language:English
Published: Vilnius University Press 2017-10-01
Series:Nonlinear Analysis
Subjects:
fractional derivative
fractional impulsive conditions
(a,k)-regularized resolvent operator
Riemann–Liouville operator
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13359

Internet

http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13359

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