Nonlinear Sequential Caputo and Caputo-Hadamard Fractional Differential Equations with Dirichlet Boundary Conditions in Banach Spaces

This paper is devoted to the existence of solutions for certain classes nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with Dirichlet boundary conditions in Banach spaces. Moreover, our analysis based on Darbo’s fixed point theorem conjunction technique Hausdorff measure noncompactness. An example also presented illustrate effectiveness main results.