Existence of Solutions and Ulam Stability for Caputo Type Sequential Fractional Differential Equations of Order α ∈ (2,3)

We study initial value problems of sequential fractional differential equations and inclusions involving a Caputo type differential operator of the form: $\left(^{C}D_{a+}^{\alpha }+\lambda _{1}~^{C}D_{a+}^{\alpha -1}+\lambda _{2}~^{C}D_{a+}^{\alpha -2}\right),$ where $\alpha \in (2,3)$ and $\lambda...

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Bibliographic Details
Main Authors: Bashir Ahmad, Mohammed M. Matar, Ola M. El-Salmy
Format: Article
Language:English
Published: Etamaths Publishing 2017-09-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/1338