New multiple positive solutions for Hadamard-type fractional differential equations with nonlocal conditions on an infinite interval

Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations

“…In a recent monograph [3], one can find a detailed description of initial/boundary value problems and inequalities involving Hadamard fractional differential equations and inclusions. New multiple positive solutions for Hadamard-type fractional differential equations with nonlocal conditions on an infinite interval were studied in [28].…”

Monotone Positive Solutions for Nonlinear Fractional Differential Equations with a Disturbance Parameter on the Infinite Interval

“…Boundary value problems on the infinite interval arise naturally in the study of radially symmetric solutions of nonlinear elliptic equations and various physical phenomena, see [13]. So, the study of fractional boundary value problems on the infinite interval has been paid much attention, there appear some excellent results; see, for instance [14][15][16][17][18][19][20][21][22][23][24][25][26] and the references therein. On the other hand, when we apply the methods of the differential equations to solve actual problems, the disturbance is always inevitable and has great influence on the existence of solutions.…”

Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions

“…Many researchers consider the boundary value problems of fractional differential equations with Hadamard derivative. For example, in 2016, Tariboon [20] used the Leggett-Williams and Guo-Krasnoselskii fixed point theorems to study the existence of nonnegative multiple solutions of Hadamard fractional differential equations on infinite domain; in 2021, Zhang [22] used the generalized Avery-Henderson fixed point theorem to study nonlinear Hadamard fractional differential equations with nonlocal boundary conditions.…”