On Caputo-Hadamard fractional pantograph problem of two different orders with Dirichlet boundary conditions

A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory

“…Briefly, the properties, research approaches, and generalization of the concept of H-derivative, as well as the effects of delay, impulse, and random factors on H-fractional differential systems, have always attracted the attention of scholars. We further refer to [42][43][44][45][46][47].…”

Stability and Numerical Simulation of a Nonlinear Hadamard Fractional Coupling Laplacian System with Symmetric Periodic Boundary Conditions

“…For all ϵ > 0 (ϵ small enough), condition (H 4 ) ensures that 0 < max{κ 1 (ϵ), κ 2 (ϵ)} < 1. Then, it follows from (19)…”

“…For more details on Hadamard fractional calculus, we refer the reader to [2][3][4][5][6] and the references therein. In recent years, the study of Hadamard fractional differential equations has attracted the attention of many scholars, mainly focusing on the existence, stability and approximation of solutions (see [7][8][9][10][11][12][13][14][15][16][17][18][19]). For example, Huang et al [9] applied a nonlinear alternative of Leray-Schauder to study the existence of solutions to a nonlinear coupled Hadamard fractional system.…”