Existence of the solution for system of coupled hybrid differential equations with fractional order and nonlocal conditions (Q341185)

Summary: This paper is motivated by some papers treating the fractional hybrid differential equations with nonlocal conditions and the system of coupled hybrid fractional differential equations; an existence theorem for fractional hybrid differential equations involving Caputo differential operators of order \(1 < \alpha \leq 2\) is proved under mixed Lipschitz and Carathéodory conditions. The existence and uniqueness result is elaborated for the system of coupled hybrid fractional differential equations.