Existence Results for a Class of Nonlinear Hadamard Fractional with p-Laplacian Operator Differential Equations

Abstract

In this study, we are concerned with the existence and uniqueness of solution for some nonlinear Hadamard fractional differential equations. Our results are based on different classical fixed point theorems. Some useful examples are presented in order to illustrate the validity of our main results.

Existences Results for Some Nonsingular $p$-Kirchhoff Problems with $\psi$-Hilfer Fractional Derivative

“…Because fractional differential operators are very important, several papers involving different derivatives, we cite for instance the papers of Ben Ali et al [5], Chamekh et al [29], Ghanmi and Horrigue [31,32], Horrigue [34], Torres [25], and Wang et al [43].…”

Positive, negative, and sign-changing solutions for Kirchhoff problem involving Riemann fractional derivative with respect to a function

“…Since fractional differential operators are very important, several authors have concentrated on the development of such operators, for example, the well-known Riemann-Liouville operators, Caputo derivative, and Hadamard derivative. Moreover, many papers have been published in this direction we cite for example the papers of Ben Ali et al [4], Chamekh et al [6], Ghanmi and Horrigue [13,12], Horrigue [20], Torres [41], and Wang et al [42].…”