In this paper, we use the fixed point theory to obtain the existence and
uniqueness of solutions for nonlinear implicit Riemann-Liouville fractional
differential equations with nonlocal conditions. An example is given to
illustrate this work.
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 order1<α≤2is proved under mixed Lipschitz and Carathéodory conditions. The existence and uniqueness result is elaborated for the system of coupled hybrid fractional differential equations.
Existence and uniqueness of solutions for nonlinear implicit Caputo-Hadamard fractional differential equations with nonlocal conditions
