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

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Universal Journal of Mathematics and Applications
Volume:1 Issue:1
On $psi$-Hilfer fractional differential equation with complex order

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

Authors : Harikrishnan SUGUMARAN, Rabha IBRAHİM, Kuppusamy KANAGARAJAN

Pages : 33-38

Doi:10.32323/ujma.393130

View : 59 | Download : 16

Publication Date : 2018-03-11

Article Type : Research Paper

Abstract :The objectives of this paper is to investigate some adequate results for the existence of solution to a $\psi$-Hilfer fractional derivatives insert ignore into journalissuearticles values(HFDEs); involving complex order. Appropriate conditions for the existence of at least one solution are developed by using Schauder fixed point theorem insert ignore into journalissuearticles values(SFPT); to the consider problem. Moreover, we also investigate the Ulam-Hyers stability for the proposed problem.
Keywords : Fractional derivative, Existence, Ulam Hyers Rassias stability, Complex order

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