On $\psi$-Hilfer fractional differential equation with complex order

On $\psi$-Hilfer fractional differential equation with complex order

The objectives of this paper is to investigate some adequate results for the existence of solution to a $\psi$-Hilfer fractional derivatives (HFDEs) involving complex order. Appropriate conditions for the existence of at least one solution are developed by using Schauder fixed point theorem (SFPT) t...

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Bibliographic Details
Main Authors: Harikrishnan Sugumaran, Rabha Ibrahim, Kuppusamy Kanagarajan
Format: Article
Language:English
Published: Emrah Evren KARA 2018-03-01
Series:Universal Journal of Mathematics and Applications
Subjects:
fractional derivative
existence
ulam-hyers-rassias stability
complex order
Online Access:https://dergipark.org.tr/tr/download/article-file/438707
Description
Summary:The objectives of this paper is to investigate some adequate results for the existence of solution to a $\psi$-Hilfer fractional derivatives (HFDEs) involving complex order. Appropriate conditions for the existence of at least one solution are developed by using Schauder fixed point theorem (SFPT) to the consider problem. Moreover, we also investigate the Ulam-Hyers stability for the proposed problem.
ISSN:2619-9653

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