TY  - JOUR
T1  - On $\psi$-Hilfer fractional differential equation with complex order
AU  - Sugumaran, Harikrishnan
AU  - Ibrahim, Rabha
AU  - Kanagarajan, Kuppusamy
PY  - 2018
DA  - March
Y2  - 2018
DO  - 10.32323/ujma.393130
JF  - Universal Journal of Mathematics and Applications
JO  - Univ. J. Math. Appl.
PB  - Emrah Evren KARA
WT  - DergiPark
SN  - 2619-9653
SP  - 33
EP  - 38
VL  - 1
IS  - 1
LA  - en
AB  - 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.
KW  - Fractional derivative
KW  - Existence
KW  - Ulam-Hyers-Rassias stability
KW  - Complex order
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UR  - https://doi.org/10.32323/ujma.393130
L1  - https://dergipark.org.tr/en/download/article-file/438707
ER  -