TY - JOUR ID - 34967 TI - Theory of Hybrid Fractional Differential Equations with Complex Order JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Vivek, Devaraj AU - Baghani, Omid AU - Kanagarajan, Kuppusamy AD - Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India. AD - Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, P.O. Box 397, Sabzevar, Iran. Y1 - 2019 PY - 2019 VL - 15 IS - 1 SP - 65 EP - 76 KW - Hybrid fractional differential equations KW - Initial value problem KW - Complex order KW - Dhage's fixed point theorems KW - Existence of mild solution DO - 10.22130/scma.2018.72907.295 N2 - We develop the theory of hybrid fractional differential equations with the complex order $\theta\in \mathbb{C}$, $\theta=m+i\alpha$, $0